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Element refinement methods and systems in arbitrary Lagrangian-Eulerian (ALE) based finite element analysis

A finite element, time-based technology, applied in the direction of computer, CAD technology, CAD numerical modeling, etc. for distributed networks

Active Publication Date: 2013-08-14
LIVERMORE SOFTWARE TECH
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

One problem associated with subdividing ALE units involves the mapping of computation results, which is intractable in state-of-the-art methods

Method used

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  • Element refinement methods and systems in arbitrary Lagrangian-Eulerian (ALE) based finite element analysis
  • Element refinement methods and systems in arbitrary Lagrangian-Eulerian (ALE) based finite element analysis
  • Element refinement methods and systems in arbitrary Lagrangian-Eulerian (ALE) based finite element analysis

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Embodiment Construction

[0020] Figure 1A Arbitrary Lagrangian-Eulerian ( ALE) flow chart of the schematic process 100 of the unit. Process 100 is implemented in software and is preferably understood in conjunction with the other figures herein.

[0021] Process 100 begins at step 102 by receiving a finite element analysis (FEA) model representing a physical domain (eg, air, ocean, etc.) having a plurality of ALE elements. Next, in step 104 , time-marching simulations are performed for obtaining simulated physical phenomena (eg, aerodynamics, hydrodynamics) of the physically defined domain subject to user-specified conditions using ALE-based FEA. The user-specified conditions include but are not limited to: initial conditions, boundary conditions, load conditions, and the like. The time-marching simulation is performed over multiple time steps (sometimes called solution cycles). Typically, in a time-marching simulation, the initial simulated response is obtained at time zero (t=0). Subsequent sim...

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Abstract

Systems and methods for refining ALE elements in a time-marching simulation are disclosed. A FEA model representing a physical domain is defined and used in a time-marching simulation that simulates physical phenomena of the physical domain. Certain ones of the ALE elements are refined upon detecting a user-defined triggering condition. Each of said certain ones of the ALE elements is refined into a number of child elements. When an ALE element contains more than one material, volume fractions representing respective materials are calculated in each of the child elements right after each refinement. At each advection phase, each donor maps its flux to one or more receptors. When a donor maps its flux to multiple receptors, each receptor calculates its own share of the flux from the donor. When the donor contains more than one material, each receptor must account for such situation.

Description

technical field [0001] The present invention generally relates to a cell subdivision technique in computer-aided engineering analysis, and more particularly, relates to a cell subdivision method and system based on Arbitrary Lagrangian-Eulerian (ALE) finite element analysis. Background technique [0002] Arbitrary Lagrangian-Eulerian (ALE)-based finite element formulations use formula) calculation system. ALE-based finite element simulation can eliminate many defects of traditional Lagrangian-based and Euler-based finite element simulation. ALE technology can be applied to many engineering problems, such as fluid mechanism interaction, multi-physics and multi-substance connection (moving boundaries and interfaces), metal forming / cutting, casting, etc. [0003] When using ALE techniques in engineering simulations, the computational network in the domain can be moved arbitrarily to optimize the shape of the unit, while the network at the boundary and interface of the domain ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F17/50G06F17/5018G06F2217/16G06F2111/10G06F30/23G06F7/60G06F17/10G06G7/48G06G7/50
Inventor 尼古拉斯·阿奎利特
Owner LIVERMORE SOFTWARE TECH
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