Assemblies and methods to enhance a fluid catalytic cracking (FCC) process associated with a refining operation, during the FCC process, may include supplying a hydrocarbon feedstock to first processing units associated with the refining operation. The assemblies and methods also may include conditioning a hydrocarbon feedstock and unit material samples, and analyzing the samples via one or more spectroscopic analyzers. The assemblies and methods further may include prescriptively controlling, via one or more FCC process controllers, based at least in part on the hydrocarbon feedstock properties and the unit material properties, the FCC processing assembly, so that the prescriptively controlling results in causing the FCC process to produce intermediate materials, the unit materials, and/or the downstream materials having properties within selected ranges of target properties, thereby to cause the FCC process to achieve material outputs that more accurately and responsively converge on one or more of the target properties.

Embodiments include a system for determining cardiovascular information for a patient. The system may include at least one computer system configured to receive patient-specific data regarding a geometry of the patient's heart, and create a three-dimensional model representing at least a portion of the patient's heart based on the patient-specific data. The at least one computer system may be further configured to create a physics-based model relating to a blood flow characteristic of the patient's heart and determine a fractional flow reserve within the patient's heart based on the three-dimensional model and the physics-based model.

A method involving obtaining a resist deformation model for simulating a deformation process of a pattern in resist, the resist deformation model being a fluid dynamics model configured to simulate an intrafluid force acting on the resist, performing, using the resist deformation model, a computer simulation of the deformation process to obtain a deformation of the developed resist pattern for an input pattern to the resist deformation model, and producing electronic data representing the deformation of the developed resist pattern for the input pattern.

A method involving obtaining a resist deformation model for simulating a deformation process of a pattern in resist, the resist deformation model being a fluid dynamics model configured to simulate an intrafluid force acting on the resist, performing, using the resist deformation model, a computer simulation of the deformation process to obtain a deformation of the developed resist pattern for an input pattern to the resist deformation model, and producing electronic data representing the deformation of the developed resist pattern for the input pattern.

A computer-implemented method for constrained multi-phase virtual flow metering and forecasting is described. The method includes predicting instantaneous flow rates and forecasting future target flow rates and well dynamics. The method includes constructing a virtual sensing model trained using forecasted target flow rates and well dynamics. The method includes building a constrained forecasting model by combining unconstrained flow forecasting models, well dynamics models, and virtual sensing models, wherein the constrained forecasting model forecasts multi-phase flow rates.

A computer-implemented method for constrained multi-phase virtual flow metering and forecasting is described. The method includes predicting instantaneous flow rates and forecasting future target flow rates and well dynamics. The method includes constructing a virtual sensing model trained using forecasted target flow rates and well dynamics. The method includes building a constrained forecasting model by combining unconstrained flow forecasting models, well dynamics models, and virtual sensing models, wherein the constrained forecasting model forecasts multi-phase flow rates.

A smoothed-particle hydrodynamics (SPH)-based fluid analysis simulation apparatus comprises: an input unit for receiving, as an input, data about a plurality of particles, for a fluid analysis simulation; a space formation unit that divides, into a plurality of cells, the space in which the plurality of particles are present, and generates cell indexes on the basis of the locations of the cells in the space where the plurality of particles are present; a particle search unit for searching for at least one neighboring particle that neighbors a target particle, on the basis of particle reference information about the plurality of particles and cell reference information about the plurality of cells; and a flow data calculation unit that calculates flow data between the target particle and the at least one neighboring particle, and performs a fluid simulation on the basis of the flow data for the plurality of particles.

A smoothed-particle hydrodynamics (SPH)-based fluid analysis simulation apparatus comprises: an input unit for receiving, as an input, data about a plurality of particles, for a fluid analysis simulation; a space formation unit that divides, into a plurality of cells, the space in which the plurality of particles are present, and generates cell indexes on the basis of the locations of the cells in the space where the plurality of particles are present; a particle search unit for searching for at least one neighboring particle that neighbors a target particle, on the basis of particle reference information about the plurality of particles and cell reference information about the plurality of cells; and a flow data calculation unit that calculates flow data between the target particle and the at least one neighboring particle, and performs a fluid simulation on the basis of the flow data for the plurality of particles.

A cold plate apparatus that has an outlet plenum leading to an outlet opening includes an outlet transition that connects the outlet opening to the outlet plenum. The outlet transition defines a smoothly curving flow path from a direction along a long dimension of the outlet plenum, which is parallel to a plane defined by the outlet opening, to a direction along a centerline of the outlet opening, which is at an angle from the plane defined by the outlet opening. The outlet transition provides a smooth variation of cross-sectional area from the outlet plenum to the outlet opening.

A cold plate apparatus that has an outlet plenum leading to an outlet opening includes an outlet transition that connects the outlet opening to the outlet plenum. The outlet transition defines a smoothly curving flow path from a direction along a long dimension of the outlet plenum, which is parallel to a plane defined by the outlet opening, to a direction along a centerline of the outlet opening, which is at an angle from the plane defined by the outlet opening. The outlet transition provides a smooth variation of cross-sectional area from the outlet plenum to the outlet opening.