Implementation of high-order discontinuous Galerkin method for solution of practical tasks in external aerodynamics and aeroacoustics

Abstract

For solution of 3D stationary RANS equations, closed by EARSM turbulence model, high order Discontinuous Galerkin method (degree of basic polynomials K = 2, 3 with 1st order implicit smoother is proposed. Modifications, which were introduced in the method to achieve stability and fast convergence, are described. The method is enhanced by the use of improved Gauss quadrature rules and of h-p multigrid multigrid acceleration and is implemented into NUMECA FINETM/Hexa code in version for massive parallel calculations. For solution of 3D nonstationary Isentropic Linearized Euler Equations within the perturbation approach in aeroacoustics, explicit high order Discontinuous Galerkin method is implemented. Calculations of various tests, including U3, U2 and A14, demonstrate the efficiency of developed methods.