On the dissipation mechanism of Godunov-type schemes
From MaRDI portal
Publication:1399658
DOI10.1016/S0021-9991(03)00191-8zbMath1022.76037MaRDI QIDQ1399658
Soo Hyung Park, Jang Hyuk Kwon
Publication date: 30 July 2003
Published in: Journal of Computational Physics (Search for Journal in Brave)
contact discontinuityrarefaction wavesGodunov-type schemesshock instabilitydissipation mechanismHILLEM schemeHLLE+ schemenumerical mass fluxshock stable schemetwo-dimensional hypersonic viscous flowvacuum preserving property
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Hypersonic flows (76K05)
Related Items
A cure for numerical shock instability in HLLC Riemann solver using antidiffusion control, Robust HLL-type Riemann solver capable of resolving contact discontinuity, Numerical study of expansion tube problems: toward the simulation of cavitation, Overcoming shock instability of the HLLE-type Riemann solvers, A shock-stable HLLEM scheme with improved contact resolving capability for compressible Euler flows, A low diffusion flux splitting method for inviscid compressible flows, HLLC scheme for the preconditioned pseudo-compressibility Navier–Stokes equations for incompressible viscous flows, Heuristical and numerical considerations for the carbuncle phenomenon, Artificial viscosity in Godunov-type schemes to cure the carbuncle phenomenon, Numerical investigation of Mach number consistent Roe solvers for the Euler equations of gas dynamics, On numerical instabilities of Godunov-type schemes for strong shocks, An implicit low-diffusive HLL scheme with complete time linearization: application to cavitating barotropic flows, Further studies on numerical instabilities of Godunov-type schemes for strong shocks, Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows, On asymptotic behavior of HLL-type schemes at low Mach numbers, A unified construction of all-speed HLL-type schemes for hypersonic heating computations
Uses Software
Cites Work
- Unnamed Item
- On Godunov-type methods near low densities
- High resolution schemes for hyperbolic conservation laws
- A diagonal form of an implicit approximate-factorization algorithm
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Dissipation additions to flux-difference splitting
- Mass flux schemes and connection to shock instability
- Capturing shock reflections: An improved flux formula
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Implicit upwind methods for the compressible Navier-Stokes equations
- On Godunov-Type Methods for Gas Dynamics
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- Accuracy of flux-split algorithms in high-speed viscous flows
- A contribution to the great Riemann solver debate
- Practical formulation of a positively conservative scheme
