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Symmetrization of the fluid dynamic matrices with applications

Author: Eli Turkel
Journal: Math. Comp. 27 (1973), 729-736
MSC: Primary 65M10
MathSciNet review: 0329279
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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.

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Article copyright: © Copyright 1973 American Mathematical Society