A steady-state capturing method for hyperbolic systems with geometrical source terms (Q2781511)

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scientific article; zbMATH DE number 1721512
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A steady-state capturing method for hyperbolic systems with geometrical source terms
scientific article; zbMATH DE number 1721512

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    A steady-state capturing method for hyperbolic systems with geometrical source terms (English)
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    20 March 2002
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    steady state solution
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    shallow water equations
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    shock capturing methods
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    Godunov or Roe-type upwind methods
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    The paper deals with the numerical approximation of steady state solutions of hyperbolic systems with geometrical source terms. Thereby, standard Godunov or Roe-type upwind methods are employed and the source terms are evaluated at the cell interfaces instead of the cell averages. The performance and accuracy of the method is confirmed by numerical experiments.
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