Abstract
The artificial viscosity method for three—dimensional unsteady gas flow is developed. The stability of finite difference scheme in this case is investigated. The necessary and sufficient conditions for the stability are obtained; these conditions formally agree with the two-dimensional result in Rusanov's paper.
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Xun, D. On the stability of finite difference method for solving three-dimensional unsteady gasdynamic equations with artificial viscosity terms. Acta Mech Sinica 3, 297–303 (1987). https://doi.org/10.1007/BF02486815
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DOI: https://doi.org/10.1007/BF02486815