Abstract
A new finite difference method is proposed for gas dynamics equations. It is a homogeneous, monotonic scheme of second order of accuracy on time and space outside domains of discontinuity and shock waves. A new way to introduce artificial viscosity is proposed for two-dimensional schemes. Test simulations of discontinues and shock waves are presented.
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Popov, I.V., Fryazinov, I.V. (2009). Finite Difference Method for Two-Dimensional Equations of Gas Dynamics Using Artificial Viscosity. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_54
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DOI: https://doi.org/10.1007/978-3-642-00464-3_54
Publisher Name: Springer, Berlin, Heidelberg
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