A 3D finite element ALE method using an approximate Riemann solution
Abstract
Arbitrary Lagrangian–Eulerian finite volume methods that solve a multidimensional Riemannlike 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 Riemannlike 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 wellknown 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:
 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):
 LAUR1620312
Journal ID: ISSN 02712091
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Journal Article: 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 02712091
 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. doi:10.1002/fld.4284.
Chiravalle, V. P., & Morgan, N. R. A 3D finite element ALE method using an approximate Riemann solution. United States. doi:10.1002/fld.4284.
Chiravalle, V. P., and Morgan, N. R. 2016.
"A 3D finite element ALE method using an approximate Riemann solution". United States.
doi: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 Riemannlike 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 Riemannlike 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 wellknown 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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