Application of hybrid Riemann solvers based on HLLC and HLL for simulation of flows with gas-dynamic discontinuities

DOI10.1134/S1063454123040155MaRDI QIDQ6127182

G. V. Shoev

Publication date: 10 April 2024

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

approximate Riemann solvercarbunclefinite-volume methodRiemann HLL solverRiemann HLLC solver

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Shock waves and blast waves in fluid mechanics (76Lxx)

Cites Work

• Unnamed Item
• A robust HLLC-type Riemann solver for strong shock
• High resolution schemes for hyperbolic conservation laws
• Multidimensional dissipation for upwind schemes: Stability and applications to gas dynamics
• Restoration of the contact surface in the HLL-Riemann solver
• Average-state Jacobians and implicit methods for compressible viscous and turbulent flows
• A robust shock-capturing scheme based on rotated Riemann solvers.
• A cure for numerical shock instability in HLLC Riemann solver using antidiffusion control
• Artificial viscosity to cure the carbuncle phenomenon: the three-dimensional case
• Use of a rotated Riemann solver for the two-dimensional Euler equations
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Very simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers
• MUSTA fluxes for systems of conservation laws
• ADER methods for hyperbolic equations with a time-reconstruction solver for the generalized Riemann problem: the scalar case
• Problems of numerical simulation based on some modifications of Godunov's scheme
• MUSTA-type upwind fluxes for non-linear elasticity

This page was built for publication: Application of hybrid Riemann solvers based on HLLC and HLL for simulation of flows with gas-dynamic discontinuities