zbMATH — the first resource for mathematics

Method of unified calculation of gas flows in a region with an arbitrary boundary. (English. Russian original) Zbl 0619.76099
Sov. Phys., Dokl. 31, 391-393 (1986); translation from Dokl. Akad. Nauk SSSR 288, 331-336 (1986).
A unified approach is proposed to the through calculations of two- and three-dimensional, nonsteady gas flows on a Cartesian or cylindrical, rectangular, stationary, Eulerian grid in a region of arbitrary, possibly time-varying, complicated shape. Steady-state solutions are obtained by establishment in time. The calculation in boundary cells and internal cells is done by unified difference equations. Crude grids are mainly used, so that the requirement that the difference grid be conservative proves to be essential. The use of the integrointerpolation method assures that the scheme and the boundary conditions are conservative.
76N15 Gas dynamics, general
76M99 Basic methods in fluid mechanics