K. A. Zhukov, A. V. Popov, “Finite-difference and projection-difference schemes for the unsteady motion of a viscous weakly compressible gas”, Num. Meth. Prog., 2012, Volume 13, Issue 1,Pages <nobr>67

Вычислительные методы и приложения

Finite-difference and projection-difference schemes for the unsteady motion of a viscous weakly compressible gas

K. A. Zhukov^a, A. V. Popov^b

^a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Finite-difference and projection-difference schemes for a linear system of equations describing the two-dimensional unsteady motion of a viscous weakly compressible gas are considered. Theoretical error estimates for these schemes are discussed and the results of numerical experiments are given.

Keywords: finite-difference scheme; projection-difference scheme; accuracy of numerical solution; viscous weakly compressible gas.

UDC: 519.633.6

Received: 05.12.2011