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Convergence Estimation OF Non-Linear PDE And Linear Solvers

A processor, computer technology, applied in the field of computer-aided design

Active Publication Date: 2017-08-04
DASSAULT SYSTEMES SIMULIA CORP
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

While methods exist for performing simulation of the model as well as for improving the underlying CAD model, these existing methods could benefit from features that improve efficiency

Method used

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  • Convergence Estimation OF Non-Linear PDE And Linear Solvers
  • Convergence Estimation OF Non-Linear PDE And Linear Solvers
  • Convergence Estimation OF Non-Linear PDE And Linear Solvers

Examples

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Embodiment Construction

[0022] A description of exemplary embodiments of the present invention follows.

[0023] The teachings of all patents, published applications, and references cited herein are hereby incorporated by reference in their entirety.

[0024] As mentioned herein, embodiments of the present invention provide methods and systems for simulating systems (eg, real-world mechanical systems). Various simulation techniques use iterative methods to achieve simulation. Iterative solution techniques are used for two main reasons. First, when applied to linear systems, the iterative method reduces the amount of storage that would be prohibitively high if the direct matrix solution method were used. It can be noted that the iterative approach trades computational efficiency for storage. Therefore, it is important to minimize the inefficiencies of iterative techniques. An example of an iterative linear solver is the open source Portable, Extensible Toolbox for Scientific Computing (PETSc).

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Abstract

The invention discloses a computer realization method for providing simulation of a physical real-world system, a computer system and a computer program product. 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.

Description

technical field [0001] Embodiments of the invention relate generally to the field of computer programs and systems, and in particular to the fields of computer-aided design (CAD), computer-aided engineering (CAE), modeling and simulation. Background technique [0002] Many systems and programs for the design of parts or assemblies of parts are offered on the market. These so-called CAD systems allow users to construct and manipulate complex three-dimensional models of objects or components of objects. CAD systems thus provide for the representation of modeled objects such as real world objects using edges or lines, and in some cases faces. Lines, edges, areas or polygons can be represented in various ways, such as non-uniform rational basis splines (NURBS). [0003] These CAD systems manage a part or an assembly of parts of a modeled object, mainly a specification of the geometry. In particular, the CAD file contains specifications from which the geometry is generated. F...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20G06F17/12G06F30/23G06F30/28
Inventor K·拉奥B·佩洛特
Owner DASSAULT SYSTEMES SIMULIA CORP
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