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
Structure-Preserving Oscillation-Eliminating Discontinuous Galerkin Schemes for Ideal MHD Equations: Locally Divergence-Free and Positivity-Preserving
Mengqing Liu, Kailiang Wu
Numerically simulating magnetohydrodynamics (MHD) poses notable challenges, including the suppression of spurious oscillations near discontinuities (e.g., shocks) and preservation…