Application of hybrid Riemann solvers based on HLLC and HLL for simulation of flows with gas-dynamic discontinuities
DOI:
https://doi.org/10.21638/spbu01.2023.413Abstract
Application of hybrid approximate Riemannian solvers based on standard HLLC and HLL solvers is discussed. Three different hybrid solvers are considered. The first hybrid solver (rHLLC-HLL) uses a weighted sum of HLLC and HLL so that HLLC is applied in the direction normal to the shock wave while HLL is applied in the direction along it. The second hybrid solver (HLLC-ADC) uses the weighted sum of HLLC and HLL, applying as weights the pressure function at the left and right cell centers. The third hybrid solver (HLLC-HLL) computes inviscid fluxes by HLL inside shock waves, and by HLLC in other areas of the flow. Facets within shock waves are defined by a shock wave indicator based on the reconstructed left and right pressure values of the face. Several tests are performed, and it is shown that hybrid solvers prevent the carbuncle and reduce oscillations on shock waves.
Keywords:
finite volume method, approximate Riemannian solver, carbuncle, Riemannian solver HLLC, Riemannian solver HLL
Downloads
References
Литература
References
Downloads
Published
How to Cite
Issue
Section
License
Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.