High-order upwind methods for wave equations on curvilinear and overlapping grids

Banks, J W; Henshaw, W D

doi:10.1007/978-3-319-19800-2_10

Title: High-order upwind methods for wave equations on curvilinear and overlapping grids

Conference · Mon Sep 08 00:00:00 EDT 2014

DOI:https://doi.org/10.1007/978-3-319-19800-2_10· OSTI ID:1169868

Banks, J W; Henshaw, W D

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: DE-AC52-07NA27344

OSTI ID:: 1169868

Report Number(s):: LLNL-CONF-660067

Resource Relation:: Journal Volume: 106; Conference: Presented at: International Conference on Spectral and High Order Methods, Salt Lake City, UT, United States, Jun 23 - Jun 27, 2014

Country of Publication:: United States

Language:: English

References (12)

Numerical methods for solid mechanics on overlapping grids: Linear elasticity Appelö, Daniel; Banks, Jeffrey W.; Henshaw, William D. Journal of Computational Physics, Vol. 231, Issue 18 https://doi.org/10.1016/j.jcp.2012.04.008	journal	July 2012
Upwind schemes for the wave equation in second-order form Banks, Jeffrey W.; Henshaw, William D. Journal of Computational Physics, Vol. 231, Issue 17 https://doi.org/10.1016/j.jcp.2012.05.012	journal	July 2012
A high-resolution Godunov method for compressible multi-material flow on overlapping grids Banks, J. W.; Schwendeman, D. W.; Kapila, A. K. Journal of Computational Physics, Vol. 223, Issue 1 https://doi.org/10.1016/j.jcp.2006.09.014	journal	April 2007
An evaluation of the FCT method for high-speed flows on structured overlapping grids Banks, J. W.; Henshaw, W. D.; Shadid, J. N. Journal of Computational Physics, Vol. 228, Issue 15 https://doi.org/10.1016/j.jcp.2009.04.033	journal	August 2009
Composite overlapping meshes for the solution of partial differential equations Chesshire, G.; Henshaw, W. D. Journal of Computational Physics, Vol. 90, Issue 1 https://doi.org/10.1016/0021-9991(90)90196-8	journal	September 1990
The Piecewise Parabolic Method (PPM) for gas-dynamical simulations Colella, Phillip; Woodward, Paul R. Journal of Computational Physics, Vol. 54, Issue 1 https://doi.org/10.1016/0021-9991(84)90143-8	journal	April 1984
On the solution of nonlinear hyperbolic differential equations by finite differences Courant, Richard; Isaacson, Eugene; Rees, Mina Communications on Pure and Applied Mathematics, Vol. 5, Issue 3 https://doi.org/10.1002/cpa.3160050303	journal	August 1952
A Practical Guide to Pseudospectral Methods Fornberg, Bengt https://doi.org/10.1017/CBO9780511626357	book	December 2009
Uniformly high order accurate essentially non-oscillatory schemes, III Harten, Ami; Engquist, Bjorn; Osher, Stanley Journal of Computational Physics, Vol. 71, Issue 2 https://doi.org/10.1016/0021-9991(87)90031-3	journal	August 1987
A High‐Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids Henshaw, William D. SIAM Journal on Scientific Computing, Vol. 28, Issue 5 https://doi.org/10.1137/050644379	journal	January 2006
Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow Henshaw, William D.; Schwendeman, Donald W. Journal of Computational Physics, Vol. 216, Issue 2 https://doi.org/10.1016/j.jcp.2006.01.005	journal	August 2006
Efficient Implementation of Weighted ENO Schemes Jiang, Guang-Shan; Shu, Chi-Wang Journal of Computational Physics, Vol. 126, Issue 1 https://doi.org/10.1006/jcph.1996.0130	journal	June 1996

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