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首页> 外文会议>AIAA aviation forum;AIAA fluid dynamics conference >High-order Eulerian Methods for Elastic-Plastic Flow in Solids and Coupling with Fluid Flows
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High-order Eulerian Methods for Elastic-Plastic Flow in Solids and Coupling with Fluid Flows

机译：固体中弹塑性流动与流体流动耦合的高阶欧拉方法

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摘要

We develop a new unified high-order method for continuum simulations of flows in gases, liquids and elastic-plastic solids. We show that a high order (10th order) compact finite difference scheme in conjunction with the Localized Artificial Diffusivity (LAD) method for numerical regularization is suitable for problems involving high deformation flows in elastic-plastic solids. The LAD method has previously been used successfully for simulations of fluid flows. This choice of numerical algorithms allows for coupled fluid and solid flows that are of significant engineering interest. Particular emphasis is laid on the choice of the artificial diffusivity parameters in order to sufficiently capture discontinuities in all the aforementioned continuum media with minimal added dissipation. Test cases in one and two dimensions are shown to demonstrate the feasibility and accuracy of the proposed approach.
机译：我们开发了一种新的统一高阶方法，用于连续模拟气体，液体和弹塑性固体中的流动。我们表明，高阶（10阶）紧致有限差分方案与用于数值正则化的局部人工扩散率（LAD）方法相结合，适用于涉及弹塑性固体中高变形流的问题。 LAD方法先前已成功用于流体流动的模拟。数值算法的这种选择允许具有重大工程意义的流体和固体流耦合。为了充分捕获所有上述连续介质中的不连续性并以最小的附加耗散，特别强调了人工扩散性参数的选择。一维和二维测试用例表明了该方法的可行性和准确性。

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