High-Order Multi-Material ALE Hydrodynamics
High-Order Multi-Material ALE Hydrodynamics
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DOI：
10.1137/17m1116453
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发表时间：
2018-01
期刊：
影响因子：
--
通讯作者：
Robert W. Anderson;V. Dobrev;T. Kolev;R. Rieben;V. Tomov
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文献类型：
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作者：
Robert W. Anderson;V. Dobrev;T. Kolev;R. Rieben;V. Tomov
提出了一种基于高阶曲线网格高阶有限元的多材料任意拉格朗日--欧拉(ALE)流体力学模拟方法。该方法建立并扩展了我们在拉格朗日[V.A.Dobrev，T.V.Klev，和R.N.Rieben，SIAM J.Sci]中的工作。计算机，34(2012)，pp.B606--B641]和重新映射[R.W.Anderson等人，Internat.J·努默。方法流体，77(2015)，pp.249-273]ALE的阶段，并严重依赖于能够实现亚区物理和材料建模的功能视角[V.A.Dobrev等，Internat。J·努默。方法流体，82(2016)，第689-706页]。曲线网格松弛以节点运动为基础，通过求解椭圆型方程来确定。重映射阶段是根据虚拟时间间隔内两个网格之间的平流状态变量提出的。所得到的平流方程用不连续Galerkin(DG)公式求解，并结合定制的通量校正的输运方程。
We present a new approach for multi-material arbitrary Lagrangian--Eulerian (ALE) hydrodynamics simulations based on high-order finite elements posed on high-order curvilinear meshes. The method builds on and extends our previous work in the Lagrangian [V. A. Dobrev, T. V. Kolev, and R. N. Rieben, SIAM J. Sci. Comput., 34 (2012), pp. B606--B641] and remap [R. W. Anderson et al., Internat. J. Numer. Methods Fluids, 77 (2015), pp. 249--273] phases of ALE, and depends critically on a functional perspective that enables subzonal physics and material modeling [V. A. Dobrev et al., Internat. J. Numer. Methods Fluids, 82 (2016), pp. 689--706]. Curvilinear mesh relaxation is based on node movement, which is determined through the solution of an elliptic equation. The remap phase is posed in terms of advecting state variables between two meshes over a fictitious time interval. The resulting advection equation is solved by a discontinuous Galerkin (DG) formulation, combined with a customized Flux Corrected Transpor...