Dataset Information

Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences.

ABSTRACT: 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.

SUBMITTER: Brady PT

PROVIDER: S-EPMC6595279 | biostudies-literature | 2019 Aug

REPOSITORIES: biostudies-literature

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Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences.

Brady P T PT Livescu D D

Data in brief 20190601

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: ...[more]

PMID: 31294052

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Dataset Information

Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences.

Publications

Coefficient datasets for high-order, stable, and conservative boundary schemes for central and compact finite differences.

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