Title
Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme.
Abstract
From the very origins of numerical hydrodynamics in the Lagrangian work of von Neumann and Richtmyer [83], the issue of total energy conservation as well as entropy production has been problematic. Because of well known problems with mesh deformation, Lagrangian schemes have evolved into Arbitrary Lagrangian–Eulerian (ALE) methods [39] that combine the best properties of Lagrangian and Eulerian methods. Energy issues have persisted for this class of methods. We believe that fundamental issues of energy conservation and entropy production in ALE require further examination.
Year
DOI
Venue
2018
10.1016/j.jcp.2017.11.017
Journal of Computational Physics
Keywords
Field
DocType
ALE,Remap,Reconstruction,Bounds-preserving,Energy-conserving
Applied mathematics,Topology,Energy conservation,Nonlinear system,Polynomial,Mathematical analysis,Scalar (physics),Tensor field,Entropy production,Eulerian path,Momentum,Mathematics
Journal
Volume
Issue
ISSN
355
C
0021-9991
Citations 
PageRank 
References 
4
0.46
16
Authors
5
Name
Order
Citations
PageRank
Donald E. Burton1525.40
Nathaniel R. Morgan2527.68
Marc R. Charest390.93
Mark A. Kenamond4352.56
J. Fung540.46