A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:290

Article

Morgan, Nathaniel R.¹  Waltz, Jacob I.¹  Burton, Donald E.¹  Charest, Marc R.¹  Canfield, Thomas R.²  Wohlbier, John G.³ 

[1] Los Alamos Natl Lab, X Computat Phys Div, Los Alamos, NM 87544 USA

[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM USA

[3] Los Alamos Natl Lab, Comp Computat & Stat Sci Div, Los Alamos, NM USA

关键词: Lagrangian;    Eulerian;    Arbitrary Lagrangian Eulerian;    Hydrodynamics;    Point-centered;    Godunov;    Finite-element;    Tetrahedron;   

DOI  :  10.1016/j.jcp.2015.02.024

来源: Elsevier

【 摘 要 】

We present a three dimensional (3D) arbitrary Lagrangian Eulerian (ALE) hydrodynamic scheme suitable for modeling complex compressible flows on tetrahedral meshes. The new approach stores the conserved variables (mass, momentum, and total energy) at the nodes of the mesh and solves the conservation equations on a control volume surrounding the point. This type of an approach is termed a point-centered hydrodynamic (PCH) method. The conservation equations are discretized using an edge-based finite element (FE) approach with linear basis functions. All fluxes in the new approach are calculated at the center of each tetrahedron. A multidirectional Riemann-like problem is solved at the center of the tetrahedron. The advective fluxes are calculated by solving a 1D Riemann problem on each face of the nodal control volume. A 2-stage Runge-Kutta method is used to evolve the solution forward in time, where the advective fluxes are part of the temporal integration. The mesh velocity is smoothed by solving a Laplacian equation. The details of the new ALE hydrodynamic scheme are discussed. Results from a range of numerical test problems are presented. (C) 2015 The Authors. Published by Elsevier Inc.

【 授权许可】

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