3 papers
math.NA2026
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…
math.NA2024
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…
math.NA2024
Robust DG Schemes on Unstructured Triangular Meshes: Oscillation Elimination and Bound Preservation via Optimal Convex Decomposition
Shengrong Ding, Shumo Cui, Kailiang Wu
Discontinuous Galerkin (DG) schemes on unstructured meshes offer the advantages of compactness and the ability to handle complex computational domains. However, their robustness an…