Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws
DOI10.1090/mcom/3253zbMath1384.65052OpenAlexW2617078710MaRDI QIDQ4605694
Li Wang, Jian-Guo Liu, Frédéric Coquel, Shih Jin
Publication date: 27 February 2018
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3253
convergenceconservation lawsCauchy problemrelaxationRiemann problemshock capturing methodsnumerical resultdefect measurecell entropy conditiondefect measure correctionGlimm's random choice
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates
- ENO schemes with subcell resolution
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- High resolution schemes for hyperbolic conservation laws
- Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
- The random projection method for hyperbolic conservation laws with stiff reaction terms
- Admissibility criteria for propagating phase boundaries in a van der Waals fluid
- Uniqueness of the solution of the Cauchy problem for a first order quasilinear equation with one admissible strictly convex entropy
- The effects of numerical viscosities. I: Slowly moving shocks
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Instability of travelling wave profiles for the Lax-Friedrichs scheme
- Fast Relaxation Solvers for Hyperbolic-Elliptic Phase Transition Problems
- An instability of the Godunov scheme
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Theoretical and Numerical Structure for Reacting Shock Waves
- A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws
- A contribution to the great Riemann solver debate
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- Numerical methods with controlled dissipation for small-scale dependent shocks
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- Modified Suliciu relaxation system and exact resolution of isolated shock waves
- Solutions in the large for nonlinear hyperbolic systems of equations
- Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
