Experiments with DGSEM Shock-capturing Schemes

摘要

Three shock-capturing formulations for an entropy-stable discontinuous-Galerkin spectral-element solver are examined: Galeao and Dutra do Carmo's cross-wind stabilization, Barter and Darmofal's differential equation for propagating and diffusing the artificial viscosity, and a novel method based on inter-element jumps of pressure and a modified Ducros-style sensor. The behavior of the schemes is evaluated using standard inviscid and viscous test cases for shock-capturing methods, along with homogeneous isotropic turbulence, to assess the robustness and accuracy of the methods. The novel artificial viscosity scheme provides a straightforward and robust shock-capturing method for the current fluid solver that does not dampen turbulent fluctuations.