A new approach to the simulation of slightly-compressible gas flows based on the quasigasdynamic system of equations is under consideration. The procedure of pressure decomposition into two components — a volume-averaged part and a dynamic part - is proposed. To derive the dimensionless form of the equations, different reference values for these components are used what allows to avoid singularities at Mach number tending to zero. A special computational algorithm including the solution of elliptic equation for the increment of the pressure dynamic component is developed. To ensure homogeneity of the algorithm, the fictitious domain method is used. Test predictions indicate accuracy and robustness of the proposed methods.

slightly-compressible gas flows, low Mach number, quasigasdynamic system of equations, decomposed pressure, pressure increments

Mathematical modelling in actual problems of science and technics

Trapeznikova Marina Alexandrovna,  ,  orcid.org/0000-0001-6008-9535,  KIAM RAS

Churbanova Natalia Gennadievna,  ,  orcid.org/0000-0002-6088-9687,  KIAM RAS

Juraev Gairat Umarovich,  ,  National University of Uzbekistan named after Mirzo Ulugbek