5 papers · 1 filter
Limiter-based fully-discrete entropy stable explicit DG schemes for ideal MHD equations
Yuchang Liu, Yan Jiang, Zheng Sun
We propose a class of high-order fully-discrete entropy stable (ES) explicit discontinuous Galerkin (DG) solvers for the compressible ideal magnetohydrodynamics (MHD) equations. Ou…
Physics-Informed Learning of Probabilistic Gegenbauer Reconstruction for Transport-Dominated Problems
Lei Yan, Yan Jiang
Transport-dominated problems remain challenging for data-driven methods, which often exhibit severe numerical oscillations near shocks or steep gradients due to globally supported…
Weighted Inverse Lax-Wendroff Boundary Treatment of Discontinuous Galerkin Methods for Conservation Laws
Yongjie Bi, Yan Jiang, Yong Liu
In this paper, we propose a weighted inverse Lax-Wendroff (WILW) boundary treatment for the discontinuous Galerkin (DG) method on unfitted meshes to efficiently solve hyperbolic co…
Post-Processing Reduced-Order Models for Transport-Dominated Problems by Gegenbauer Reconstruction
Lei Yan, Yan Jiang, Chi-Wang Shu
In this paper, we develop a physics-based post-processing technique for data-driven reduced-order models (ROMs) of transport-dominated problems. Besides the slow decay of the Kolmo…
A limiter-based approach to construct high-order fully-discrete entropy stable explicit DG schemes for hyperbolic conservation laws
Yuchang Liu, Wei Guo, Yan Jiang +1
This paper presents a class of novel high-order fully-discrete entropy stable (ES) discontinuous Galerkin (DG) schemes with explicit time discretization. The proposed methodology e…