Open Access2D TESTING OF A FINITE DIFFERENCE SCHEME FOR MODELLING OF A VISCOUS DIFFUSION PROCESS IN COMPRESSIBLE GAS
Author(s) -
V.V. Nikonov
Publication year - 2020
Publication title -
izvestiâ samarskogo naučnogo centra rossijskoj akademii nauk
Language(s) - English
Resource type - Journals
ISSN - 1990-5378
DOI - 10.37313/1990-5378-2020-22-5-128-131
Subject(s) - compressibility , impulse (physics) , mechanics , mathematics , process (computing) , diffusion , numerical diffusion , numerical analysis , finite difference , mathematical analysis , mathematical optimization , classical mechanics , computer science , physics , thermodynamics , operating system
Viscous subproblem of direct numerical simulation of compressible gas is solved. This subproblem is tested on the two-dimensional problem of impulse start of a flat plate (Stokes’ problem). Three calculations were made with the different initial conditions and velocity fields were obtained. The numerical results are compared with the solution of Stokes’ problem. Analyzing the results, we can conclude that in order to achieve acceptable accuracy, it suffices to choose a time step according to the rule that the author formulated in his earlier works.