Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations

DOI10.1016/j.jcp.2015.05.010zbMath1349.76227OpenAlexW1480676833MaRDI QIDQ350131

Michal A. Kopera, Francis X. Giraldo

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.05.010

zbMATH Keywords

adaptive mesh refinementcontinuous Galerkin methoddiscontinuous Galerkin methodcompressible Euler equationsnon-conforming meshatmospheric simulations

Mathematics Subject Classification ID

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) Meteorology and atmospheric physics (86A10) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Compressible fluids and gas dynamics (76Nxx)

Related Items

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction, Matrix-free polynomial-based nonlinear least squares optimized preconditioning and its application to discontinuous Galerkin discretizations of the Euler equations, Non-hydrostatic unified model of the ocean with application to ice/ocean interaction modeling, Expanding grids for efficient cloud dynamics simulations across scales, A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods, A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin, Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations

Uses Software

• GASpAR

Cites Work

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