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math.NA2024
Provably Positivity-Preserving Constrained Transport (PPCT) Second-Order Scheme for Ideal Magnetohydrodynamics
Dongwen Pang, Kailiang Wu
This paper proposes and analyzes a robust and efficient second-order positivity-preserving constrained transport (PPCT) scheme for ideal magnetohydrodynamics (MHD) on non-staggered…
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…