Title
A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes
Abstract
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.
Year
DOI
Venue
2015
10.1016/j.jcp.2015.02.024
J. Comput. Physics
Keywords
Field
DocType
lagrangian,arbitrary lagrangian eulerian,point-centered,finite-element,godunov,tetrahedron,hydrodynamics,eulerian,finite element
Discretization,Mathematical optimization,Control volume,Mathematical analysis,Finite element method,Eulerian path,Basis function,Tetrahedron,Mathematics,Riemann problem,Laplace operator
Journal
Volume
Issue
ISSN
290
C
0021-9991
Citations 
PageRank 
References 
6
0.49
16
Authors
6