Application of an Implicit Scheme of the Discontinuous Galerkin Method to Solving Gas Dynamics Problems on Nvidia Graphic Accelerators

The paper proposes an implicit scheme of the discontinuous Galerkin method for solving the gas dynamics equations on unstructured grids. The implicit scheme is based on the representation of the system of grid equations in "delta form". To solve the SLAE obtained during the approximation of the initial equations, solvers from the NVIDIA AmgX library are used. To verify the numerical algorithm, we calculate the flow of an inviscid compressible gas in a flat channel with a wedge and solve the problem of a viscous gas flow around a symmetric airfoil NACA0012. The results obtained are compared with the experimental results and the known numerical solutions to the presented problems. We conclude that the numerical and experimental data are in good agreement.

Keywords

gas dynamics equations; discontinuous Galerkin method; implicit scheme; NVIDIA AmgX.

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