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A variant of the multigrid method for solving gas dynamics problems. (English. Russian original) Zbl 0941.35059
Comput. Math. Math. Phys. 37, No. 5, 606-614 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 5, 621-629 (1997).
The aim of this paper is to describe a variant of the multigrid method designed for gas dynamic computations allowing viscous effects in combination with various difference approximations of the Navier-Stokes equations, including the compact difference approximations up to the fifth order of accuracy. A comparison of the results obtained and convergence rates of solutions are presented. The multigrid method for a system of elliptic equations is used to generate the computational grid.
35Q30 Navier-Stokes equations
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
76N15 Gas dynamics (general theory)
76M20 Finite difference methods applied to problems in fluid mechanics