Symmetrization of the fluid dynamic matrices with applications

Eli Turkel

doi:10.1090/S0025-5718-1973-0329279-3

Symmetrization of the fluid dynamic matrices with applications

Eli Turkel^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The matrices occurring in the equations of inviscid fluid dynamics are simultaneously symmetrized by a similarity transformation. The resulting matrices decompose into several lower-dimensional blocks. In addition these blocks are more sparse than previously obtained. These properties are then used to find a sufficiency proof for an improved version of the two-step Richtmyer method.

Original language	English
Pages (from-to)	729-736
Number of pages	8
Journal	Mathematics of Computation
Volume	27
Issue number	124
DOIs	https://doi.org/10.1090/S0025-5718-1973-0329279-3
State	Published - Oct 1973
Externally published	Yes

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title = "Symmetrization of the fluid dynamic matrices with applications",

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AB - The matrices occurring in the equations of inviscid fluid dynamics are simultaneously symmetrized by a similarity transformation. The resulting matrices decompose into several lower-dimensional blocks. In addition these blocks are more sparse than previously obtained. These properties are then used to find a sufficiency proof for an improved version of the two-step Richtmyer method.

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JO - Mathematics of Computation

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Symmetrization of the fluid dynamic matrices with applications

Abstract

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