A generalized Eulerian-Lagrangian discontinuous Galerkin method for transport problems

• Published in: Journal of computational physics Vol. 464; p. 111160
• Main Authors: Hong, Xue, Qiu, Jing-Mei
• Format: Journal Article
• Language: English
• Published: Cambridge Elsevier Inc 01.09.2022; Elsevier Science Ltd
• Subjects: Characteristics method; Computational physics; Conservation laws; Discontinuous Galerkin; Discrete geometric conservation law; Eulerian-Lagrangian; Freezing; Galerkin method; Hyperbolic systems; Mass conservative; Maximum principle; Maximum principle preserving; Method of lines; Runge-Kutta method; Stability; Velocity distribution; Discontinuous Galerkin; Characteristics method; Discrete geometric conservation law; Maximum principle preserving; Eulerian-Lagrangian; Mass conservative

We propose a generalized Eulerian-Lagrangian (GEL) discontinuous Galerkin (DG) method. The method is a generalization of the Eulerian-Lagrangian (EL) DG method for transport problems proposed in Cai et al. (2021) [5], which tracks solution along approximations to characteristics in the DG framework,...