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

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

doi:10.1016/j.jcp.2015.02.024

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

Journal Article · Tue Feb 24 00:00:00 EST 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2015.02.024· OSTI ID:1194068

Morgan, Nathaniel R. ^[1]; Waltz, Jacob I. ^[1]; Burton, Donald E. ^[1]; Charest, Marc R. ^[1]; Canfield, Thomas R. ^[1]; Wohlbier, John G. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1194068

Report Number(s):: LA-UR-14-26454; PII: S0021999115000947

Journal Information:: Journal of Computational Physics, Vol. 290, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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