A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws

DOI10.1016/j.jcp.2019.06.061zbMath1452.65243arXiv1812.00530OpenAlexW2962498135MaRDI QIDQ2222433

Weizhang Huang, Dongmi Luo, Jianxian Qiu

Publication date: 27 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00530

zbMATH Keywords

conservation lawdiscontinuous Galerkin methodmoving meshhigh-order method

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05)

Related Items (14)

A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes ⋮ An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics ⋮ A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations ⋮ An Adaptive Moving Mesh Method for the Five-Equation Model ⋮ Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes ⋮ A fast dynamic smooth adaptive meshing scheme with applications to compressible flow ⋮ High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer ⋮ A new WENO based Chebyshev spectral volume method for solving one- and two-dimensional conservation laws ⋮ An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation ⋮ A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography ⋮ A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux ⋮ A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. II: ALE framework ⋮ An Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for solving convection and convection-diffusion equations ⋮ The positivity preserving property on the high order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for Euler equations

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