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Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences
Stable and conservative numerical boundary schemes, for both compact and explicit (central) finite differences require a number of parameters that must be tuned for stability. Values of these coefficients for 4th, 6th, and 8th boundary schemes are given in this article. The stability of the schemes...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6595279/ https://www.ncbi.nlm.nih.gov/pubmed/31294052 http://dx.doi.org/10.1016/j.dib.2019.104086 |
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author | Brady, P.T. Livescu, D. |
author_facet | Brady, P.T. Livescu, D. |
author_sort | Brady, P.T. |
collection | PubMed |
description | Stable and conservative numerical boundary schemes, for both compact and explicit (central) finite differences require a number of parameters that must be tuned for stability. Values of these coefficients for 4th, 6th, and 8th boundary schemes are given in this article. The stability of the schemes is demonstrated through a series of numerical tests in “High-Order, Stable, and Conservative Boundary Schemes for Central and Compact Finite Differences” Brady and Livescu, 2019. These tests include: a neutrally stable constant coefficient hyperbolic system, a two-dimensional varying coefficient hyperbolic scalar equation and, examining the transport of an inviscid vortex using the compressible Euler equations. The error norms for the variety of tests associated with different the schemes for different grid resolutions and time-step constraints are given in the accompanying databases. |
format | Online Article Text |
id | pubmed-6595279 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
spelling | pubmed-65952792019-07-10 Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences Brady, P.T. Livescu, D. Data Brief Physics and Astronomy Stable and conservative numerical boundary schemes, for both compact and explicit (central) finite differences require a number of parameters that must be tuned for stability. Values of these coefficients for 4th, 6th, and 8th boundary schemes are given in this article. The stability of the schemes is demonstrated through a series of numerical tests in “High-Order, Stable, and Conservative Boundary Schemes for Central and Compact Finite Differences” Brady and Livescu, 2019. These tests include: a neutrally stable constant coefficient hyperbolic system, a two-dimensional varying coefficient hyperbolic scalar equation and, examining the transport of an inviscid vortex using the compressible Euler equations. The error norms for the variety of tests associated with different the schemes for different grid resolutions and time-step constraints are given in the accompanying databases. Elsevier 2019-06-01 /pmc/articles/PMC6595279/ /pubmed/31294052 http://dx.doi.org/10.1016/j.dib.2019.104086 Text en © 2019 The Authors http://creativecommons.org/licenses/by/4.0/ This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Physics and Astronomy Brady, P.T. Livescu, D. Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences |
title | Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences |
title_full | Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences |
title_fullStr | Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences |
title_full_unstemmed | Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences |
title_short | Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences |
title_sort | coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences |
topic | Physics and Astronomy |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6595279/ https://www.ncbi.nlm.nih.gov/pubmed/31294052 http://dx.doi.org/10.1016/j.dib.2019.104086 |
work_keys_str_mv | AT bradypt coefficientdatasetsforhighorderstableandconservativeboundaryschemesforcentralandcompactfinitedifferences AT livescud coefficientdatasetsforhighorderstableandconservativeboundaryschemesforcentralandcompactfinitedifferences |