Arbitrary-order difference schemes for solving linear advection equations with constant coefficients by the Godunov method with antidiffusion |
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Authors: | N Ya Moiseev I Yu Silant’eva |
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Institution: | (1) All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Box 245, Snezhinsk, 456770, Russia |
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Abstract: | An approach to the construction of second-and higher order accurate difference schemes in time and space is described for solving the linear one-and multidimensional advection equations with constant coefficients by the Godunov method with antidiffusion. The differential approximations for schemes of up to the fifth order are constructed and written. For multidimensional advection equations with constant coefficients, it is shown that Godunov schemes with splitting over spatial variables are preferable, since they have a smaller truncation error than schemes without splitting. The high resolution and efficiency of the difference schemes are demonstrated using test computations. |
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Keywords: | advection equation Godunov method antidiffusion high-order accurate difference schemes |
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