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High-order Discontinuous Galerkin Simulations on Moving Domains using an ALE Formulation and Local Remeshing with Projections

机译：使用ALE公式和带投影的局部网格划分在运动域上的高阶不连续Galerkin模拟

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We have presented a high-order Discontinuous Galerkin Method for solving compressible flows in deforming domain using an arbitrary Lagrangian-Eulerian framework. The techniques focus on large deformation problem, where a moving mesh is adjusted by local mesh operations. A local £2 projection is introduced to transfer the solution between the meshes, which is efficient and easy to implement due to its local character. Several numerical tests are included to show the effectiveness of the method. Our future work will mostly be focused on using the proposed method for practical simulations, in particular for 3D applications.

机译：我们提出了一种使用任意拉格朗日-欧拉框架求解变形域中可压缩流的高阶不连续Galerkin方法。该技术着重于大变形问题，其中通过局部网格操作来调整移动网格。引入了局部£2投影以在网格之间传递解，这是有效且易于实现的，因为它具有局部特征。包括几个数值测试，以证明该方法的有效性。我们未来的工作将主要集中于将所提出的方法用于实际仿真，尤其是3D应用程序。

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《AIAA SciTech forum;AIAA Aerospace Sciences Meeting》|2015年|6332-6343|共12页
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Luming Wang; Per-Olof Persson;
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High-order Discontinuous Galerkin Simulations on Moving Domains using an ALE Formulation and Local Remeshing with Projections

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