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A new TVD-MUSCL scheme for hyperbolic conservation laws - MaRDI portal

A new TVD-MUSCL scheme for hyperbolic conservation laws (Q814090)

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scientific article; zbMATH DE number 5003132
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English
A new TVD-MUSCL scheme for hyperbolic conservation laws
scientific article; zbMATH DE number 5003132

    Statements

    A new TVD-MUSCL scheme for hyperbolic conservation laws (English)
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    2 February 2006
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    The author proposes a new type TVD-MUSCL scheme which is oscillation free. The intercell flux is computed from difference approximations of characteristic equation with the data influencing the values at half-time step. The data for characteristic equations are classified in several different types by the domain of dependence. The oscillation-free algorithm based on TVD method and provides a class of limiters including existing limiters. The effectiveness of this algorithm illustrated several problems in one and two dimensions.
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    shock capturing limiters
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    oscillation-free algorithm
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