Abstract: Described are computer implemented techniques to select a single surface of a computer aided design (CAD) as a surface that shares a boundary with a void space that will be discretized, produce a virtual geometry item that is positioned within or about the void region to define the volume to be discretization and propagate a mesh within the defined volume by discretizing the CAD generated geometry by a discretization factor to find a first valid seed point within the CAD generated geometry that satisfies all virtual geometries taken together.

Abstract: A computer-implemented method of integrating a calibrated model with physics computations in a computer-based simulation of a planned or existing real-world environment is disclosed. The method includes representing a selected component with a calibrated model thereof, wherein the calibrated model of the selected component defines an interface boundary and a modeled region, which is inside the interface boundary and distinct from a physics region, which is outside the interface boundary. The method includes producing modeled solution variables based on the calibrated model at computational points along the interface boundary of the calibrated model. The method includes producing computed solution variables based on physics computations at computational points in the physics region. The method includes exchanging the modeled variables with the computed variables across the interface boundary.

Abstract: A calibrated model is created from a physics computation model of a selected component. A setup for a virtual experiment for the selected component is received, and input parameters are defined. An output parameter to be modeled by the calibrated model is selected. The virtual experiment is conducted for the defined input parameters over a predefined range of values for a varied input parameter. Result data from the virtual experiment is recorded and used to produce the calibrated model.

Abstract: Described are computer implemented techniques to select a single surface of a computer aided design (CAD) as a surface that shares a boundary with a void space that will be discretized, produce a virtual geometry item that is positioned within or about the void region to define the volume to be discretization and propagate a mesh within the defined volume by discretizing the CAD generated geometry by a discretization factor to find a first valid seed point within the CAD generated geometry that satisfies all virtual geometries taken together.

Abstract: A method, according to an embodiment, provides a simulation of a physical real-world system, by first generating a system of equations that includes a discrete representation of the real-world system being simulated. Next, the real-world system is simulated. In simulating the system, a user specified tolerance of a solution of the system of equations is obtained. Then, the system of equations is iteratively solved until a solution to the system of equations for a given iteration is within the user specified tolerance of the solution of the system of equations for approximately infinite iterations. In such an embodiment, the solution to the system of equations for the given iteration is determined to be within the user specified tolerance using an experimentally determined constant, an estimate of a minimum eigenvalue of the system of equations for the given iteration, and a residual of the system of equations for the given iteration.

Abstract: A method, according to an embodiment, provides a simulation of a physical real-world system, by first generating a system of equations that includes a discrete representation of the real-world system being simulated. Next, the real-world system is simulated. In simulating the system, a user specified tolerance of a solution of the system of equations is obtained. Then, the system of equations is iteratively solved until a solution to the system of equations for a given iteration is within the user specified tolerance of the solution of the system of equations for approximately infinite iterations. In such an embodiment, the solution to the system of equations for the given iteration is determined to be within the user specified tolerance using an experimentally determined constant, an estimate of a minimum eigenvalue of the system of equations for the given iteration, and a residual of the system of equations for the given iteration.