DEVELOPMENT OF SOLVER FOR MODELING COMPRESSIBLE FLOWS USING REGULARISED GAS DYNAMIC EQUATIONS

In this work we announce the development of a new OpenFOAM solver for numerical simulation of viscous compressible flows in the wide range of Mach numbers. 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 spatial grids using functionality of OpenFOAM library. Numerical methods for gas dynamic flow simulations based on QGD equations are known for more than 30 years - see for example [1], references given in the book, and the subsequent work of the authors. The advantages of the QGD algorithms consist in their uniformity in the modeling of gas flows in a wide range of Mach numbers including subsonic flows and hypersonic flows with strong shock waves. Computational experience shows that the QGD algorithms are effective for modeling of oscillatory and rapidly varying flows including turbulent flow at low Reynolds numbers. In particular, in the number of problems the laminar-turbulent transition was obtained without introducing of numerical turbulence models. These features of the QGD algorithms were confirmed by a number of test and practical calculations. Previously, the QGD numerical algorithms were implemented for Cartesian and cylindrical coordinates for rectangular space-grids for three-dimensional flows. There were implementations of algorithms for regular and irregular non-orthogonal grids. A number of programs were implemented on multiprocessor computational systems with MPI standard. Current implementation of the QGD algorithms on the basis of OpenFOAM would significantly expand the scope of their application and would give the possibilities to try it by a wide range of users.