Apparatus for producing waves for surfing using staggered wave generators extended along a curved stagger line
10233660 ยท 2019-03-19
Inventors
Cpc classification
A63B69/0093
HUMAN NECESSITIES
International classification
Abstract
A wave pool having a deep end and a shallow end with a plurality of wave generators along the deep end that are extended along a curved stagger line positioned at an oblique angle relative to the moving waves. The wave generators are preferably extended in a substantially staggered manner relative to the travel direction of the waves. A pair of dividing walls is preferably provided in front of each generator, wherein the dividing walls are extended substantially forward with a fade angle of no more than about 20 degrees relative to each other. The wave generators are preferably operated in sequence, such that a plurality of wave segments is generated, and such that the wave segments travel forward and then merge together to form a substantially uniform resultant wave which travels forward and then breaks along the shallow end.
Claims
1. A wave pool comprising: a plurality of wave generators adapted to produce wave segments in said wave pool, wherein said plurality of wave generators is positioned along a sequence and extended in a staggered manner along a curved stagger line relative to the forward travel direction of the wave segments; a pair of dividing walls extended substantially forward in front of each wave generator of said plurality of wave generators, wherein within each of said pair of dividing walls, said dividing walls are extended with a fade angle of no more than 20 degrees relative to each other, such that said dividing walls help to maintain the energy, height and amplitude of the wave segments that travel forward between said dividing walls; wherein each of said pair of dividing walls comprises a short dividing wall and a long dividing wall, wherein said long dividing wall is extended further downstream than said short dividing wall, wherein said plurality of wave generators is adapted such that a wave segment formed by one wave generator travels forward and merges with adjacent wave segments formed by adjacent wave generators in the sequence, to form a resultant wave; and a sloped floor extended in said wave pool, wherein said sloped floor comprises an incline that enables the resultant wave to break thereon.
2. The wave pool of claim 1, wherein as each wave segment travels forward between an associated pair of dividing walls, said each wave segment first merges with an adjacent wave segment produced by a preceding wave generator in the sequence after said wave segment passes beyond the associated short dividing wall, and then merges with an adjacent wave segment produced by a succeeding wave generator in the sequence after said wave segment passes beyond the associated long dividing wall.
3. The wave pool of claim 1, wherein a portion of the long dividing wall of one wave generator forms the opposite side of the short dividing wall of an adjacent wave generator in the sequence.
4. The wave pool of claim 1, wherein said curved stagger line extends along a circular arc and wherein said sloped floor extends along a curved breaker line that extends along a substantially parallel circular arc, wherein said curved stagger line extends around a full 360 degrees to form a wave pool having a substantially circular shape.
5. The wave pool of claim 1, wherein said curved stagger line extends along a circular arc and wherein said sloped floor extends along a curved breaker line that extends along a substantially parallel circular arc, wherein said plurality of wave generators comprises a predetermined number of wave generators provided around said circular arc, wherein the overall shape of the wave pool comprises a segment of a circle and is dependent on how many wave generators are provided in the sequence.
6. The wave pool of claim 1, wherein said plurality of wave generators are adapted to be operated in sequence, such that a plurality of wave segments is generated at pre-selected time intervals, wherein as the wave segments travel forward, they merge together to form a substantially uniform resultant unbroken wave that travels forward through said wave pool in a substantially arcuate manner.
7. The wave pool of claim 1, wherein in front of each wave generator, the wave segment travels through the following: a wave formation zone extending between an associated pair of dividing walls which helps maintain the energy, height and amplitude of the wave segment that travels forward between said pair of dividing walls; a partial wave merging zone which enables the wave segment that travels forward between said pair of dividing walls to merge with an adjacent wave segment generated by a preceding wave generator in the sequence; and a full wave merging zone which enables the wave segment that travels forward between said pair of dividing walls to merge with an adjacent wave segment generated by a succeeding wave generator in the sequence.
8. The system of claim 7, wherein said partial wave merging zone extends substantially forward from a distal end of the short dividing wall to a distal end of the long dividing wall of the associated pair of dividing walls, wherein said full wave merging zone extends substantially forward from a distal end of the long dividing wall of the associated pair of dividing walls toward said sloped floor of said wave pool.
9. The wave pool of claim 1, wherein within each of said pair of dividing walls, said dividing walls are extended with an inward fade angle of up to one to two degrees relative to each other.
10. A wave generating system comprising: a wave pool having a first end with a plurality of wave generators arranged in sequence and a second end having a shoreline; wherein each wave generator of said plurality of wave generators is adapted to produce wave segments that travel substantially forward in front of said wave generator, wherein said plurality of wave generators is extended in a staggered manner and positioned along a curved stagger line relative to the forward travel direction of the wave segments; a pair of dividing walls extended substantially forward in front of each of said wave generators, wherein within each pair of dividing walls, said dividing walls are adapted with a limited fade angle that helps maintain the energy, height and amplitude of the wave segments that travel forward between them; and wherein within each pair of dividing walls, one dividing wall is extended further downstream than the other dividing wall, wherein each of said pair of dividing walls comprises a short dividing wall and a long dividing wall, and wherein said plurality of wave generators is adapted such that a wave segment produced by one wave generator first merges on one side with a first adjacent wave segment produced by a preceding wave generator in the sequence and then on the opposite side with a second adjacent wave segment produced by a succeeding wave generator in the sequence, to form a resultant wave that extends in a substantially arcuate manner across the wave pool.
11. The system of claim 10, wherein as each wave segment travels forward between an associated pair of dividing walls, each wave segment first merges with the first adjacent wave segment after it passes beyond the associated short dividing wall, and then merges with the second adjacent wave segment after it passes beyond the associated long dividing wall.
12. The system of claim 10, wherein a portion of the long dividing wall of one wave generator forms the opposite side of the short dividing wall of an adjacent wave generator in the sequence.
13. The system of claim 10, wherein said fade angle is less than 20 degrees, and wherein a sloped floor is extended along said shoreline of said second end.
14. The system of claim 10, wherein said curved stagger line extends along a circular arc and said plurality of wave generators comprises a predetermined number of wave generators provided around said circular arc, wherein the overall shape of the wave pool comprises a segment of a circle and is dependent on how many wave generators are provided along the sequence.
15. The system of claim 10, wherein said plurality of wave generators are adapted to be operated intermittently, such that a plurality of wave segments is generated at pre-selected time intervals, wherein as the wave segments travel forward, they merge together first on one side and then on the opposite side, to form a substantially uniform resultant unbroken wave.
16. The system of claim 10, wherein in front of each wave generator, the wave segment travels through the following: a wave formation zone extending between an associated pair of dividing walls which helps maintain the energy, height and amplitude of the wave segment that travels forward between said pair of dividing walls; a partial wave merging zone which enables the wave segment that travels forward between said pair of dividing walls to merge with an adjacent wave segment generated by a preceding wave generator in the sequence; and a full wave merging zone which enables the wave segment that travels forward between said pair of dividing walls to merge with an adjacent wave segment generated by a succeeding wave generator in the sequence.
17. The system of claim 16, wherein said partial wave merging zone extends substantially forward from a distal end of the short dividing wall to a distal end of the long dividing wall of the associated pair of dividing walls, wherein said full wave merging zone extends substantially forward from a distal end of the long dividing wall of the associated pair of dividing walls toward a sloped floor of said wave pool.
18. The system of claim 10, wherein a sloped floor is extended along the second end of said wave pool, along a curved breaker line that is substantially similar in curvature to said curved stagger line, wherein the resultant waves are allowed to travel across said wave pool and break obliquely relative to a tangent of said curved breaker line.
19. The system of claim 10, wherein within each of said pair of dividing walls, said dividing walls are extended with an inward fade angle of up to one to two degrees relative to each other.
20. A wave pool comprising: a plurality of wave generators adapted to produce wave segments in said wave pool, wherein said plurality of wave generators is extended in a staggered manner along a curved stagger line relative to the forward travel direction of the wave segments; a pair of dividing walls extended substantially forward in front of each wave generator of said plurality of wave generators, wherein within each of said pair of dividing walls, said dividing walls are extended with a fade angle of no more than 20 degrees relative to each other; wherein within each pair of dividing walls, one dividing wall is extended further downstream than the other dividing wall, and wherein said plurality of wave generators is adapted such that a wave segment formed by one wave generator merges with an adjacent wave segment formed by an adjacent wave generator, to form a resultant wave that travels substantially across the wave pool.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DETAILED DESCRIPTION OF THE INVENTION
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(13) Multiple wave generators 3 are preferably situated along curved stagger line 6 at an oblique angle relative to the front or crest of waves 13. Each wave generator 3 is preferably angled relative to each other, and in a staggered or offset manner, relative to the travel direction 10 of waves 13, as shown in
(14) The angle 15 at which curved stagger line 6 extends relative to the front or crest of wave 13, as well as front wall 26 of each wave generator 3, is referred to as the stagger angle, which represents the degree to which the wave generators 3 are offset or staggered relative to each other in travel direction 10. And, the distance that front wall 26 of each caisson 17 is located relative to the front wall 26 of each preceding/succeeding caisson 17 in the series, i.e., in direction 10, is referred to as the stagger distance, which is shown as distance 69 in
(15) As shown in
(16) As shown in
(17) Curved stagger line 6 preferably extends along an arcuate path, such as along a segment of a circle along deep end 5, as shown in
(18) Whether a resultant wave 13 produced by wave pool 1 is suitable for surfing largely depends on the value of peel angle 14 designated as a. And, in this respect, it should be noted that the peel angle should be sufficiently large enough for the lateral velocity of the breaking point of the waves 13 (extending longitudinally along the length thereof) to be suitable for the skill level of the surfer, as well as the height of the resultant wave 13 formed within pool 1. In this respect, it should be noted that the lateral velocity vector, Vs, is preferably equal to the wave celerity vector, c, divided by the sine of the peel angle . When the peel angle is too small, the lateral down-the-line velocity of the breaking waves 13 becomes too fast and therefore the waves can become too difficult to surf on. Whether a particular surfer can handle a particular wave having a particular lateral velocity depends largely on his or her skill level, but also on the height H of wave 13, etc. That is, the higher the wave 13, the smaller the allowable peel angle can be, relative to a fixed skill level, whereas, the greater the lateral down-the-line velocity (resulting from a smaller peel angle), the greater the skill level required.
(19) The table below shows various surfer skill levels (1 being a beginner and 10 being beyond advanced) as a function of the peel angle and wave height H. Note that a peel angle of 90 degrees is of limited use since there is no progressive angle or slope that causes the waves to progressively break and therefore that value is strictly theoretical. Also note that the practical maximum peel angle that produces a meaningful breaking wave for surfing is about 70 degrees. Likewise, the minimum peel angle that produces a breaking wave for surfing is about 30 degrees, insofar as any smaller peel angle will cause the waves to break too quickly and suddenly, thereby not giving the surfer sufficient time to maneuver and ride the wave. Note the descriptions of the ratings contained in the chart below are independent of actual surf break quality or the degree of difficulty of the waves. The chart is taken from Hutt et al. 2001.
(20) TABLE-US-00001 Peel Min/Max Angle Wave Limit Height Rating Description of Rating (deg) (m) 1 Beginner surfers not yet able to ride the 90 0.70/1.00 face of a wave and simply move forward on a whitewater bore as the wave advances. 2 Learner surfers able to successfully ride 70 0.65/1.50 laterally along the crest of a progressively breaking wave. 3 Surfers that have developed the skill to 60 0.60/2.50 generate speed by pumping on the face of the wave. 4 Surfers beginning to initiate and execute 55 0.55/4.00 standard surfing maneuvers on occasion. 5 Surfers able to execute standard 50 0.50/ >4.00 maneuvers consecutively on a single wave. 6 Surfers able to execute standard 40 0.45/>4.00 maneuvers consecutively. Executes advanced maneuvers on occasion. 7 Top amateur surfers able to consecutively 29 0.40/>4.00 execute advanced maneuvers. 8 Professional surfers able to consecutively 27 0.35/>4.00 execute advanced maneuvers. 9 Top professional surfers able to Not 0.30/>4.00 consecutively execute advanced reach maneuvers. 10 Surfers in the future Not 0.3/>4.00 reach
(21) Thus, it can be seen that the greater the peel angle, the easier it is for a surfer to ride the waves, and the lower the peel angle, the more difficult it would be. It can also be seen that the higher the peel angle, the greater the distance the waves will have to travel along sloped shoaling floor 21, and therefore, the longer the surfers may be able to ride the waves. On the other hand, if the peel angle is too high, such as greater than 70 degrees, the waves are likely to break too slowly, or not break at all, making it difficult for surfing maneuvers to be performed. At the same time, it can be seen that with a smaller peel angle, the more compressed the sloped shoaling floor 21 will be (distance-wise), and therefore, the faster the waves 13 will break along the lateral down-the-line direction, wherein, if the peel angle is too small, i.e., less than 30 degrees, the waves will break too quickly, thereby reducing the likelihood that a surfer would be able to travel fast enough to maneuver on the waves properly. Preferably, as waves 13 are formed by wave generators 3 and approach shoreline 7 in travel direction 10, and pass over break line 9, they will begin to break forward and peel laterally, wherein the momentum of the waves will cause them to spill forward and break across pool 1, i.e., progressively in a direction from side wall 2 to side wall 4.
(22) While the peel angle 14 preferably determines the angle at which waves 13 will break relative to sloped shoaling floor 21, the stagger angle 15 preferably determines the angle at which wave generators 3 are oriented and positioned relative to the front or crest of waves 13, or the direction that is normal to travel direction 10 at any given point along curved stagger line 6. And because each wave generator 3 is preferably extended forward downstream relative to each other, by virtue of the stagger distance, at an oblique angle relative to the front or crest of waves 13, each wave generator, i.e., 3a, 3b, 3c, etc., is preferably operated sequentially, one after the other, to form individual wave segments 8a, 8b, 8c, one after the other, that can merge together to form resultant wave 13 that progressively travels in direction 10, which, due to curved stagger line 6, essentially extends along a substantially arcuate path over time, as shown in
(23) Each wave generator 3 is preferably operated in sequence with a predetermined time elapsing between them, wherein the interval that exists between each one is preferably equivalent to the time it takes one wave segment to travel from front wall 26 of one caisson 17 to the front wall 26 of the succeeding caisson 17. For example as shown in
(24) As for the timing and frequency of the resultant waves 13, they can be determined by the amount of time that should elapse between each successive cycle of activations. That is, after the wave generators 3 are activated in sequence from one end to the other, then, the cycle can be repeated by activating the same series of wave generators, i.e., from the first wave generator to the last wave generator in the series, for the duration of a given wave frequency. For example, multiple wave generators can be activated one by one in sequence during a time interval of 10 seconds, which forms one cycle, and that cycle can be repeated after allowing sufficient time to charge the wave generators 3, as will be discussed, to complete the cycle before the next cycle begins. The range of cycles can be anywhere from about 10 to 90 seconds or more. This also gives sufficient time for surfers to get into position between waves.
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(26) Each wave generator 3 is preferably housed within caisson 17 which preferably comprises an inverted (up-side-down) watertight column or compartment 25 capable of being filled with air and/or water. Preferably, each caisson 17 has a top wall 12, side walls 18, 19, back wall 28, bottom wall 46, and front wall 26, wherein below front wall 26 is preferably a caisson opening 29 of a predetermined height which allows water and wave energy to pass forward into pool 1. While other types of wave generators, such as those mechanically or hydraulically operated, including those shown in
(27) Preferably, each caisson 17 has a compressed air chamber 35 immediately behind it, as shown in
(28) During the charging phase, the cavity inside compartment 25 is substantially airtight, such that when air within compartment 25 is drawn out, the water level within compartment 25 rises, wherein due to back pressure, water can be sucked in from pool 1 through caisson opening 29, and into compartment 25. At this point, the caisson freeboard 43, as shown in
(29) The forward momentum generated by caisson 17 can be created by gravity alone, or by releasing the compressed air from chamber 35 into compartment 25, or with an ancillary pump, etc., which provides additional energy to create larger waves. Back wall 28 of caisson 17 can be provided with a rounded bottom corner 41, as shown in
(30) Virtually any type of wave generator 3 can be used in connection with the present invention including the three types of wave generators shown in
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(32) A valve 221 is preferably provided near the top of compartment 225, within back wall 228, through which air can pass from blower 201 into compartment 225. Accordingly, to discharge air, valve 221 is preferably opened, and blower 201 is activated to pressurize air forward through valve 221. When the air has been discharged into compartment 225, and the water column therein pushed forward through opening 229, wave generator 203 can then be recharged again by allowing air within compartment 225 to be discharged into the atmosphere, through a second opening 210, at or near top wall 212 of caisson 207, wherein by doing so, the water level within compartment 225 will naturally rise again, due to the restoring force of gravity, wherein the water level will eventually reach an equilibrium point relative to the water level 220 in pool 200. By doing so, a column of water 245 is then created within compartment 225 which, during the discharge phase, can be forced downward and forward again, through opening 229, to create additional wave motions in pool 1.
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(34) The amount of water released through opening 237 and the power (resulting from the static water level in tank 233), combined with the shape of step 242 that extends in front of wave generator 231, can help define the initial wave height and wave shape. Due to the time it takes for water to refill tank 233 and the relatively large gate 250, these wave shapes are often hard to control and the waves are essentially non-periodic. A disadvantage of this type of wave generator for commercial wave/surf pool applications is that the mechanical parts are mostly situated in water and over time they can corrode and rust, such that mechanical parts may need to be repaired or serviced.
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(36) By using wave generators 3 (virtually any type such as those discussed above), wave segment 8, as shown in
(37) As shown in
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(39) The height of side walls 2, 4, relative to the standing mean water level in pool 1, is shown as distance 42 in
(40) In
(41) A pair of dividing walls 20, 22 is preferably extended forward in front of each wave generator 3 in travel direction 10 and at a predetermined outward fade angle 78, as shown in
(42) Each dividing wall 20, 22 is preferably formed of concrete or other suitable material with a substantially constant thickness such that the opposing surfaces of each dividing wall are substantially parallel to each other. The distal end 49 of each dividing wall is preferably tapered to form a relative thin tip, flange or edge. A separate sheath, such as made of steel or fiberglass, etc., can be extended forward at distal end 49 of dividing walls 20, 22, to form the tip to facilitate smooth merging of the wave segments.
(43) The caisson offset or stagger distance 69, as shown in
(44) At the same time, any changes to stagger angle 15 should be constrained by the following: (1) if the stagger angle exceeds the peel angle, then, at some point, the resultant waves may break too quickly, i.e., the minimum shoaling distance 51 to wave break distance may become too small, which can make surfing more difficult; and (2) if the stagger angle is less than the peel angle, then, at some point, the resultant wave may take too long to break, wherein the shoaling distance 51 for waves 13 may be too long, which can increase the overall size and cost of the pool and potentially jeopardize its economic viability.
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(46) Also, the forward extension of dividing walls 20, 22, i.e., distances 59 and 70, can be determined based on the desired distance needed to ensure that wave segments 8a, 8b, 8c are allowed to form properly before merging with other wave segments. In many cases, short dividing wall 20 can be terminated about half the distance that long dividing wall 22 extends forward in front of front wall 26, although not necessarily so, i.e., the embodiment shown in
(47) Multiple wave merging zones are preferably created in front of each wave generator 3, between and in front of dividing walls 20, 22. For example, as shown in
(48) Within first Wave Formation Zone 30, because dividing walls 20, 22 are extended substantially forward on either side, at only a slight outward fade angle between them, such as less than 20 degrees, as the wave segments 8a travel forward, the length and energy of the wave segments is substantially confined on both sides (as well as along the bottom and back), to prevent the wave segments from significantly elongating or spreading out in the lateral down-the-line direction. By confining the wave segments in this manner, the energy of the wave segments is conserved, such that their height/amplitude and shape are substantially maintained, i.e., they stay about the same size and shape as they travel forward, although they will drop down in height gradually as they elongate over time. Thus, it can be seen that Zone 30 helps to preserve the energy of the wave segments 8a so that they can develop properly and fully between dividing walls 20, 22 and will not unduly elongate or lose significant energy or significantly shrink in height/amplitude or change in shape before merging with other wave segments downstream.
(49) Ideally, dividing walls 20, 22 are extended substantially parallel to each other, but due to the curve of curved stagger line 6, they are necessarily off parallel to some degree, i.e., by up to about 20 degrees, which represents the preferred maximum outward fade angle 78 between them, as shown in
(50) By limiting the outward fade angle between the dividing walls, the following advantages can be achieved: 1) a free surface transition zone is created in front of each wave generator 3, wherein, as the wave segments travel forward through Wave Formation Zone 30, the waves will have adequate time and distance to properly form into a smooth wave shape, wherein by confining the wave segments as they move forward, the kinetic energy/mass transport created by wave generator 3 can be channeled into a smoothly shaped gravity induced wave; 2) as the wave segments travel forward, they will be prevented from unduly elongating or spreading out along the lateral down-the-line direction, which can help maintain the energy and length of the wave segments; and 3) because the wave segments are confined, and their energy is substantially preserved, their height/amplitude and shape will be substantially maintained, which can help to keep the wave segments in a substantially constant statesize-wise, height-wise, amplitude-wise and shape-wisebefore they merge. Of course, the degree to which they will be substantially maintained will depend on the outward fade anglethe closer to parallel, the better they will be maintained.
(51) Because Zone 30 represents a fully confined area characterized by two dividing walls 20, 22 on either side extended in front of each wave generator 3, with an outward fade angle of less than 20 degrees, it can be seen that the energy of the wave segment traveling through space 30 will be substantially maintained, and therefore, the size (height/amplitude) and shape of the wave segment will remain substantially unaltered prior to entering into Merging Zones 52 and 54. Accordingly, this Zone 30 preferably enables the wave segments to form properly before merging with other wave segments, and helps prevent the wave segments from substantially elongating, shrinking, collapsing or losing energy, etc., such that when the wave segments merge, the size (height/amplitude) of the wave segments will remain substantially constant from one wave segment to the next, as one wave segment merges with other wave segments along convergence line 60, and do so without excess turbulence or disturbance, such as unwanted eddies and flow sheers.
(52) The next zone downstream is the Partial Wave Merging Zone 52 which is characterized by long dividing wall 22 on one side (right side) and open water on the opposite side (left side), wherein this Zone 52 preferably extends from the distal end of short dividing wall 20 (along dashed line 56) and ends at distal end of long dividing wall 22 (along dashed line 58). Even though this Zone 52 does not have two dividing walls on either side to confine the wave segments as Zone 30 does, the wave segments that travel through this Zone 52 are nevertheless confined on the opposite (non-walled) side by the presence of an adjacent wave segment traveling in substantially the same direction, at substantially the same speed, with substantially the same size and shape, i.e., along convergence line 60, which is produced by a preceding wave generator 3 in the series. That is, the open side of Zone 52 (on the left side) along convergence line 60 will be confined by an adjacent wave segment formed by a preceding wave generator 3 in the series, and therefore, this wave segment will be substantially confined on both sides, i.e., by dividing wall 22 on one side and the adjacent wave segment on the other side. Accordingly, the merging of these wave segments, 8b and 8c, necessarily helps to maintain the height/amplitude and shape of the resultant wave 13, wherein together, they merge together to form resultant wave 13. Note that in
(53) The next zone downstream is the Full Wave Merging Zone 54 which is characterized by open water on both sides, wherein Zone 54 extends beyond the distal end of long dividing wall 22, in direction 10, and beyond dashed line 58, and into pool 1. After wave segments 8b and 8c have initially merged within Zone 52 (along convergence line 60 on the left side), it can be seen that the resultant wave will continue to travel forward, and once long dividing wall 22 ends on the opposite end (shown on the right side), wave segment 8b will enter Zone 54 (to become wave segment 8c), and then, it will merge with another wave segment 8b travelling in substantially the same direction on the opposite end (shown along convergence line 60 on the right side), which is created by a succeeding wave generator 3 in the series, wherein the merging of these wave segments, now 8c and 8b, will occur along convergence line 60, within Zone 54, on the opposite side. Because there is no dividing wall on either side, the wave segments that travel through Zone 54 will be retained on the opposite end by the next succeeding wave segment 8b in the series travelling forward, in substantially the same direction, at substantially the same speed, with substantially the same height/amplitude and shape, which is produced by succeeding wave generator 3.
(54) For example, wave segment 8a created by wave generator 3b within Zone 30 will become wave segment 8b within Zone 52, and then, it will merge on the left hand side within Zone 52 with wave segment 8c created by wave generator 3a. Then, wave segment 8b will become wave segment 8c within Zone 54, and then, that segment will merge on the right hand side within Zone 54 with wave segment 8b created by wave generator 3c. And, by ensuring that each succeeding wave segment travels in substantially the same direction, at substantially the same speed, and with substantially the same size and shape, they will continue to form a uniformly shaped resultant wave 13.
(55) As these wave segments merge together in this manner, i.e., along convergence line 60, first on one side, and then, on the opposite side, the size (height/amplitude) and shape of each wave segment preferably remains substantially unaltered, or only altered slightly, such that collectively, they can form a uniformly sized and shaped resultant wave 13. And because the size and shape of the adjacent wave segments are preferably substantially preserved, the merging of these wave segments preferably remains substantially smooth and disturbance-free, wherein undesirable cross-directional and secondary wave formations, and unwanted eddies and flow sheers, that can negatively impact the generation and transition of the resultant waves can be reduced or even eliminated.
(56) As discussed, dividing walls 20, 22 preferably have an outward fade angle 78 of less than 20 degrees relative to each other, and because the fade angle 78 also determines the angle at which the wave generators 3 are oriented and positioned relative to one another, from a practical standpoint, extending the fade angle beyond 20 degrees can be problematic from the standpoint of the pool's overall configuration. For example, the embodiment shown in
(57) In any case, when there is a fade angle 78 that exists between dividing walls 20, 22, the angle of the dividing walls can influence how the wave segments will develop and transition as they travel downstream, wherein several factors are preferably taken into account to ensure that a uniformly shaped, smooth resultant wave 13 can be formed within pool 1, as follows:
(58) First, because any degree of fade will cause the wave segments 8 to elongate or spread out, which in turn, can create a lateral down-the-line velocity vector (extending longitudinally along the down-line arc length of wave segment 8), when the wave segments actually merge, they can, to the extent they elongate, collide against each other, wherein it will be desirable to limit the fade angle to the extent necessary to reduce or even eliminate this tendency. By limiting the fade angle, the spread velocity of each wave segment can be reduced, wherein, the additional wave effects that can otherwise create undesirable disturbances and turbulence such as cross-directional and secondary wave formations, unwanted eddies and flow sheers, can be limited.
(59) Second, another factor is the relationship that exists between the height of a wave segment and its speed, wherein, when the waves are taller, the forward speed of the waves will also be increased. Therefore, when the wave speed is increased, the spread velocity of the wave segments as they elongate along the outward fade angle will also increase, thereby potentially causing the wave segments to form dissonate surface effects as they merge. On the other hand, these two factors may not be as critical in connection with the curved embodiment of the present invention insofar as when the wave generators are oriented and positioned along a curved stagger line 6, the adjacent wave generators in the series will also be positioned at an angle relative to each other, such that each wave segment they create will travel in a direction that is substantially perpendicular to the front wall 26 of each wave generator, wherein, as they merge together, they will travel in a direction 10 in front of each wave generator, which, along convergence line 60, will be substantially parallel to each other as they merge. That is, by the time the adjacent wave segments merge together, they will effectively be travelling substantially parallel to one another, along convergence line 60, wherein the chances of creating excessive down-the-line velocities and forces that impact the formation of the resultant waves will be reduced.
(60) What this means in connection with the second factor discussed above is that the likelihood of there being a significant collision that will negatively impact the formation of the resultant waves as a function of wave speed will be reduced, insofar as, even with an increased wave speed, if the adjacent wave segments are travelling in substantially the same direction, i.e., parallel to one another, there will be less impact between them. That is, by reducing the tendency of the wave segments to impart a down-the-line velocity against each other, the net speed at which they merge together will not significantly affect the formation of the resultant waves, i.e., even if there is an increase in wave speed, wherein that fact alone should not translate into a significant increase in the forces applied when the wave segments merge. Therefore, in addition to the first factor discussed above, it should be noted that the second factor will be less significant in connection with the curved stagger line disclosed herein.
(61) Third, because of the principle of energy conservation, whenever a wave segment is allowed to elongate, it necessarily means that the height/amplitude of the wave will also decrease, and therefore, another factor to consider is the extent to which the wave segments will decrease in height/amplitude as a result of the higher fade angle, which will, in turn, translate into a shorter/smaller resultant wave 13. That is, the higher the fade angle that exists between dividing walls 20, 22, the more the wave segments will elongate and spread out, and therefore, the smaller/shorter the wave segments will be, which will reduce the overall height/amplitude of resultant wave 13. Accordingly, when the fade angle is too high, to produce the same size resultant wave, the wave segments will have to start out taller, which in turn, will increase the amount of energy needed to create the initial wave segment, which means that larger and/or more powerful wave generators will be needed to produce the same size resultant wave. For these reasons, it is desirable to take into account the maximum outward fade angle to ensure that the height/amplitude of the resultant wave can be preserved.
(62) Fourth, because the wave generators are staggered, as discussed above, it can be seen that when two adjacent wave segments merge, one of the wave segments will have traveled further downstream than the adjacent wave segment in the series. And because the fade angle of the dividing walls will cause each wave segment to elongate and reduce in height as it progresses forward, the relative size, height and amplitude of the merging wave segments will eventually differ. That is, one wave segment will have traveled further downstream than the adjacent wave segment, and therefore, when the two wave segments merge, depending on the fade angle, a wave height differential may be created between them, which can adversely affect how the segments merge. Accordingly, not only will there be a wave width differential as the wave segments elongate, but there will also be a wave height differential as the wave segments merge, which can potentially cause undesirable disturbances and turbulences to occur such as along convergence line 60, and especially along the top breaking portion of each wave. In other words, because of the stagger distance, and the need for each wave generator to be activated sequentially, one after the other, one wave segment will inevitably travel further downstream than the adjacent wave segment in the series, in which case, one wave segment will elongate and spread out further than the other by the time they merge, wherein a wave height/amplitude differential may end up existing, which can cause undesirable disturbances and turbulences, such as cross-directional and secondary wave formation, unwanted eddies and flow sheers, to occur.
(63) Technically speaking, assuming that the caisson width is defined as W0, and the energy flux generated along the convergence line is defined as E0, then, the energy flux per unit width at the caissons is E0/W0. At the point where the wave segments merge, W1 and W2 represent the widths of two merging wave segments, and since the total energy flux E0 per caisson is still equal, the energy flux of the two merging wave segments per unit width are E0/W1 and E0/W2 respectively. And since energy flux per unit length is proportional to wave height squared there will be a wave height differential when the two wave segments merge that is equal to wave height H1 and H2 respectively. This wave height differential can be calculated by H2/H1=SQRT(W1/W2). So, if W2 (the wave segment of the most forward caisson) is, for example, 0.8W1 (the wave segment of the preceding adjacent caisson), H2/H1=SQRT(1/0.8)=1.118 or in other words, H2 is 11.8% higher at the point of merge than H1.
(64) Also, after resultant wave 13 is formed, there will be a tendency for the height/amplitude of the resultant wave 13 to even out over time/distance, wherein the higher points along the crest of wave 13 will want to drop down to the height of the lower points along the crest, due to the restoring force of gravity acting on the wave, i.e., as water seeks its own level. This can cause a certain amount of undesirable changes in motion to be created, extending laterally along the length of the forward moving crest of resultant wave 13, which is another reason why it is desirable to limit the outward fade angle to less than 20 degrees. At the same time, because resultant wave 13 will continue to arc and elongate and spread out over time/distance, i.e., as the resultant wave travels forward after the wave segments merge, the likelihood of these motions negatively affecting the shape of the wave will be reduced.
(65) In this embodiment, because the ends of the wave segments will travel in substantially the same direction, i.e., substantially parallel to each other, along convergence line 60, even if one wave segment starts out taller than an adjacent wave segment, and therefore, travels faster, the net effect is that because there is little or no concomitant increase in the convergence or collision forces that may be exerted between adjacent wave segments, the merging of the wave segments will not necessarily create undue greater turbulence, eddies, etc., other than those created by the wave height/amplitude differential discussed above, which is a function of the outward fade angle 78 and stagger distance 69.
(66) In any event, while there may be no absolute cut off point for the allowable amount of outward fade angle that can exist between any two dividing walls, it is clear that when the fade angle is too high, and/or when the waves are traveling too fast or start out too high, and/or when the stagger angle and/or distance is too great, etc., the combination of forces may make it less likely that a high quality resultant wave suitable for surfing can be produced. Accordingly, the present invention contemplates that the above factors should be taken into account when designing a wave pool of this kind, wherein the amount of excess turbulence and disturbance that can be tolerated as the wave segments merge together will be a function of the above factors, including the outward fade angle that exists between the dividing walls.
(67)
(68)
(69)
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(71) But unlike embodiment 100, embodiment 120 includes a similar but opposing arrangement of six wave generators 3g, 3h, 3i, 3j, 3k, 3l, extended along a similar but opposite facing curved stagger line 6b, which is extended in an inverted manner on the opposite side. Thus, embodiment 120 has wave generator 3g angled 15 degrees relative to wave generator 3h, and wave generator 3h angled 15 degrees relative to wave generator 3i, etc., wherein a total of six wave generators, 3g, 3h, 3i, 3j, 3k, 3l, are extended along a similar curved stagger line 6b on the opposing side, forming another ninety degrees, or a quarter of a circle, of wave generators 3 facing the opposite direction. The overall configuration is, in plan view, similar to the shape of an arrowhead, with side walls 122 and 124 on either side, and a similarly curved break line 9a and inclined shoreline 7a extended along a shallow end 11a, and an opposing but similarly curved break line 9b and inclined shoreline 7b extended along an opposing shallow end 11b on the opposite side.
(72) Each half preferably produces waves 113 in much the same manner as embodiment 100 of
(73) Alternatively, waves 113a and 113b can be made out of phase, wherein, there would either be no convergence and a significant reduction in wave height as the wave spreads out across the end of the pool, or a dissonant wave merger offset from the convergence line 128 depending upon the timing differential of the interacting wave forms.
(74)
(75) In this embodiment, dividing walls 320, 322 are preferably extended substantially close to parallel to each other, but with a slight inward fade angle, wherein the embodiment shown has an inward fade angle of about one or two degrees. And because the fade angle of dividing walls 320, 322 is inward, each succeeding wave generator 303 in the series is preferably angled inward relative to each preceding wave generator 303 in the series. For example, wave generator 303b is angled inward about one or two degrees relative to wave generator 303a, and wave generator 303c is angled inward about one or two degrees relative to wave generator 303b, wherein wave generator 303c is collectively angled inward about two to four degrees relative to wave generator 303a. And by virtue of the stagger distance 369 between adjacent wave generators 303a, 303b, 303c, 303d, it can be seen that collectively the wave generators are extended along an inverted curved stagger line opposite the curvature of line 6 shown in
(76) The energy of wave segments 308a formed by each wave generator 303 will thus be substantially confined in front of each wave generator 303, between dividing walls 320, 322, as they travel forward in travel direction 310, and before they merge together with adjacent wave segments 308b, 308c, along convergence lines 360. By angling the dividing walls inward, wave segments 308a are not only confined on both sides, but as they progress, they will reduce in length, i.e., narrow, rather than elongate, in the lateral down-the-line direction, such that, due to the principle of energy conservation, they will increase in height/amplitude as they progress forward, rather than decrease. And by angling the wave generators inward relative to each other, each wave segment 308a will travel in direction 310 (which is slightly angled relative to each other), which will enable the ends of those wave segments to travel in substantially the same direction, i.e., substantially parallel to each other, such that, along convergence lines 360, they will merge together without creating undue turbulence, thereby enabling smooth resultant waves 313 to be created. And then, after wave segments 308a, 308b, 308c, merge together to form resultant wave 313, the wave that is created will continue to narrow and therefore grow in height/amplitude as it travels toward shore. And by increasing the height/amplitude of the resultant wave 313, taller waves that travel faster toward the shoreline can then be created.
(77) The shoreline in this embodiment can be similar to shoreline 7 shown in
(78) Another aspect of the invention relates to a wave dampening system such as disclosed in U.S. Pat. No. 6,460,201 or 8,561,221, which are incorporated herein by reference, and as shown in