The space discretization of the one-dimensional barotropic quasi-gas dynamic system of equations and the energy balance equation (Q2847438)

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scientific article; zbMATH DE number 6207151
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The space discretization of the one-dimensional barotropic quasi-gas dynamic system of equations and the energy balance equation
scientific article; zbMATH DE number 6207151

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    9 September 2013
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    gas dynamics
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    hydrology, hydrography, oceanography
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    solution of discretized equations
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    The space discretization of the one-dimensional barotropic quasi-gas dynamic system of equations and the energy balance equation (English)
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    A new conservative symmetric in space dicretization quasidynamcal system of equations is proposed. The energy balance equation of the proper type is written down for the discretization scheme and a non-increasing of the complete energy is provided. The discretization scheme is applied for regularized quasigasdynamical system of shallow water equations in a case of an irregular bottom.
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