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Stability of the numerical method of pseudocharacteristics for three-dimensional supersonic flows - MaRDI portal

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Stability of the numerical method of pseudocharacteristics for three-dimensional supersonic flows (Q1571282)

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scientific article; zbMATH DE number 1473003
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English
Stability of the numerical method of pseudocharacteristics for three-dimensional supersonic flows
scientific article; zbMATH DE number 1473003

    Statements

    Stability of the numerical method of pseudocharacteristics for three-dimensional supersonic flows (English)
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    1998
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    The author considers the numerical method of pseudocharacteristics for solving the equations of three-dimensional steady isenergic flows of a two-parameter gas, written in Crocco-Vazsonyi form. It is shown that this method is stable only if all eigenvalues of the transition operator have absolute values equal to unity. This result is used to derive constraints on relative cell sizes, including the cell size along the nonmarching coordinates.
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    Crocco-Vazsonyi equations
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    eigenvalues
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