Abstract
The approach is proposed for the numerical solution of the Navier-Stokes equations for the two-dimensional motion of viscous heat-conducting gas. The discretization of equations is performed by a combination of a special semi-Lagrangian approximation for transport derivatives and the conforming finite element method with piecewise linear or bilinear basis functions for other terms. This approach gives a simpler structure of the discrete system of algebraic equations and does not involve the Courant-Friedrichs-Lewy restriction on the relation between temporal and spatial steps. Numerical results for a supersonic flow around an obstacle for some Mach and Reynolds numbers are presented.
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