Development of a new OpenFOAM solver using regularized gas dynamic equations

Abstract The paper introduces the development of a new OpenFOAM solver QGDFoam for the numerical simulation of viscous compressible flows within a wide range of Mach numbers in the framework of the OpenFOAM formalism. The new solver is based on the implementation of regularized, or quasi-gas dynamic (QGD) equations. The mixed finite-volume and finite-difference approximation is constructed on unstructured space grids with co-located variables storage and explicit time scheme for convection approximation. The solver has been tested for a range of 1D Riemann problems and 2D cases, comparing results with analytic solutions and OpenFOAM’s implementation of the Kurganov–Tadmor scheme known as rhoCentralFoam.