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Title: A 3D finite element ALE method using an approximate Riemann solution

Abstract

Arbitrary Lagrangian–Eulerian finite volume methods that solve a multidimensional Riemann-like problem at the cell center in a staggered grid hydrodynamic (SGH) arrangement have been proposed. This research proposes a new 3D finite element arbitrary Lagrangian–Eulerian SGH method that incorporates a multidimensional Riemann-like problem. Here, two different Riemann jump relations are investigated. A new limiting method that greatly improves the accuracy of the SGH method on isentropic flows is investigated. A remap method that improves upon a well-known mesh relaxation and remapping technique in order to ensure total energy conservation during the remap is also presented. Numerical details and test problem results are presented.

Authors:
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1304832
Report Number(s):
LA-UR-16-20312
Journal ID: ISSN 0271-2091
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical Methods in Fluids
Additional Journal Information:
Journal Name: International Journal for Numerical Methods in Fluids; Journal ID: ISSN 0271-2091
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Chiravalle, V. P., and Morgan, N. R. A 3D finite element ALE method using an approximate Riemann solution. United States: N. p., 2016. Web. https://doi.org/10.1002/fld.4284.
Chiravalle, V. P., & Morgan, N. R. A 3D finite element ALE method using an approximate Riemann solution. United States. https://doi.org/10.1002/fld.4284
Chiravalle, V. P., and Morgan, N. R. Tue . "A 3D finite element ALE method using an approximate Riemann solution". United States. https://doi.org/10.1002/fld.4284. https://www.osti.gov/servlets/purl/1304832.
@article{osti_1304832,
title = {A 3D finite element ALE method using an approximate Riemann solution},
author = {Chiravalle, V. P. and Morgan, N. R.},
abstractNote = {Arbitrary Lagrangian–Eulerian finite volume methods that solve a multidimensional Riemann-like problem at the cell center in a staggered grid hydrodynamic (SGH) arrangement have been proposed. This research proposes a new 3D finite element arbitrary Lagrangian–Eulerian SGH method that incorporates a multidimensional Riemann-like problem. Here, two different Riemann jump relations are investigated. A new limiting method that greatly improves the accuracy of the SGH method on isentropic flows is investigated. A remap method that improves upon a well-known mesh relaxation and remapping technique in order to ensure total energy conservation during the remap is also presented. Numerical details and test problem results are presented.},
doi = {10.1002/fld.4284},
journal = {International Journal for Numerical Methods in Fluids},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {8}
}

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