4 papers · 1 filter
High-order fully discrete multi-entropy-stable and bound-preserving schemes for relativistic Euler equations
Linfeng Xu, Kailiang Wu
A discrete entropy inequality is the principal nonlinear stability estimate available for systems of conservation laws, and evaluating it presupposes a physically admissible state.…
GQL-Based Physical-Constraint-Preserving High-Order Finite Difference Schemes for Special Relativistic Hydrodynamics in Arbitrary Dimensions
Linfeng Xu, Shengrong Ding, Kailiang Wu
High-order accurate simulations of special relativistic hydrodynamics (RHD) are prone to numerical breakdown if intrinsic physical constraints (positive rest-mass density/pressure…
On Local Minimum Entropy Principle of High-Order Schemes for Relativistic Euler Equations
Shumo Cui, Kailiang Wu, Linfeng Xu
This paper establishes the minimum entropy principle (MEP) for the relativistic Euler equations with a broad class of equations of state (EOSs) and addresses the challenge of prese…
High-order Accurate Entropy Stable Schemes for Relativistic Hydrodynamics with General Synge-type Equation of State
Linfeng Xu, Shengrong Ding, Kailiang Wu
All the existing entropy stable (ES) schemes for relativistic hydrodynamics (RHD) in the literature were restricted to the ideal equation of state (EOS), which however is often a p…