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...
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Elsevier
2019-08-01
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| Series: | Data in Brief |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2352340919304408 |
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doaj-1ecb7913952c4ab193d4cbb99cd5a5a52020-11-24T22:06:22ZengElsevierData in Brief2352-34092019-08-0125Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differencesP.T. Brady0D. Livescu1Corresponding author.; CCS-2, Los Alamos National Laboratory, Los Alamos, NM 87544, United StatesCCS-2, Los Alamos National Laboratory, Los Alamos, NM 87544, United StatesStable 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.http://www.sciencedirect.com/science/article/pii/S2352340919304408 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P.T. Brady D. Livescu |
| spellingShingle |
P.T. Brady D. Livescu Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences Data in Brief |
| author_facet |
P.T. Brady D. Livescu |
| author_sort |
P.T. Brady |
| title |
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_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_sort |
coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences |
| publisher |
Elsevier |
| series |
Data in Brief |
| issn |
2352-3409 |
| publishDate |
2019-08-01 |
| 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. |
| url |
http://www.sciencedirect.com/science/article/pii/S2352340919304408 |
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AT ptbrady coefficientdatasetsforhighorderstableandconservativeboundaryschemesforcentralandcompactfinitedifferences AT dlivescu coefficientdatasetsforhighorderstableandconservativeboundaryschemesforcentralandcompactfinitedifferences |
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