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Three-dimensional generalization for W modification of a Godunov method

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Abstract

A high-accuracy modification of Godunov’s method for three-dimensional unsteady ideal gas flows is proposed. For the linear advection equation, a fully three-dimensional second-order accurate monotone scheme is designed with corrections computed on a variable stencil whose orientation depends on the signs of the equation coefficients. For the linear scalar advection equation, the scheme is proved to possess the positive approximation property. The method is tested by computing the flow in a three-dimensional Ludwieg tube with a square cross section.

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Authors and Affiliations

  1. Volgograd State University, Universitetskii pr. 100, Volgograd, 400062, Russia

    E. I. Vasil’ev & A. S. Demin

Authors
  1. E. I. Vasil’ev
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  2. A. S. Demin
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Correspondence to E. I. Vasil’ev.

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Original Russian Text © E.I. Vasil’ev, A.S. Demin, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 9, pp. 1659–1672.

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Vasil’ev, E.I., Demin, A.S. Three-dimensional generalization for W modification of a Godunov method. Comput. Math. and Math. Phys. 48, 1620–1633 (2008). https://doi.org/10.1134/S096554250809011X

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  • DOI: https://doi.org/10.1134/S096554250809011X

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