2 papers
math.NA2025
An active-flux-type scheme for ideal MHD with provable positivity and discrete divergence-free property
Mengqing Liu, Dongwen Pang, Remi Abgrall +1
We develop a positivity-preserving (PP) PAMPA (Point-Average-Moment PolynomiAl-interpreted) scheme that enforces a discrete divergence-free (DDF) magnetic field for ideal MHD on Ca…
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…