Simulating three-dimensional unsteady viscous compressible flow on GPU using the DiamondTorre algorithm

In this paper the approach to simulation of unsteady fluid dynamic problems in terms of the Navier–Stokes system of equations is considered. The numerical scheme is built using the Runge–Kutta discontinuous Galerkin method, approximating the viscous terms with the local discontinuous Galerkin method. A modification of the DiamondTorre algorithm is developped for the geterogeneous implementation of the scheme. The solver based on this algorithm is included into the DTGV software for solving three-dimensional fluid dynamic problems, the results of its validation and performance tests are given. An example of solving the problem of flow past a sphere in three-dimensional setting is presented.