2 papers
math.NA2025
Provably positivity-preserving, globally divergence-free central DG methods for ideal MHD system
Ruifang Yan, Huihui Cao, Kailiang Wu
This paper proposes a numerical method, termed PosDiv-CDG, that provably preserves both positivity and the globally divergence-free (DF) condition at arbitrarily high order in mult…
math.NA2024
Robust Discontinuous Galerkin Methods Maintaining Physical Constraints for General Relativistic Hydrodynamics
Huihui Cao, Manting Peng, Kailiang Wu
Simulating general relativistic hydrodynamics (GRHD) presents challenges such as handling curved spacetime, achieving high-order shock-capturing accuracy, and preserving key physic…