An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement
From MaRDI portal
Publication:6099509
DOI10.1016/j.cam.2023.115124arXiv2210.07898OpenAlexW4321350219MaRDI QIDQ6099509
No author found.
Publication date: 20 June 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.07898
adaptive mesh refinementdiscontinuous Galerkin methodsnumerical weather predictionflows over orography
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Geophysics (86Axx)
Related Items (3)
Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving chimera meshes ⋮ Domain-specific implementation of high-order discontinuous Galerkin methods in spherical geometry ⋮ A new family of semi-implicit finite volume/virtual element methods for incompressible flows on unstructured meshes
Cites Work
- Adaptive discontinuous evolution Galerkin method for dry atmospheric flow
- Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations
- Regularity and energy conservation for the compressible Euler equations
- A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state
- On the use of a coordinate transformation for the solution of the Navier- Stokes equations
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- The extension of incompressible flow solvers to the weakly compressible regime
- A semi-implicit semi-Lagrangian scheme using the height coordinate for a nonhydrostatic and fully elastic model of atmospheric flows
- An efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gases
- Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
- Semi-implicit integrations of perturbation equations for all-scale atmospheric dynamics
- A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases
- Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode
- The \texttt{deal.II} library, version 9.4
- Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
- Pressure method for the numerical solution of transient, compressible fluid flows
- deal.II—A general-purpose object-oriented finite element library
- A Conservative Discontinuous Galerkin Semi-Implicit Formulation for the Navier–Stokes Equations in Nonhydrostatic Mesoscale Modeling
- Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling
- On the Construction and Comparison of Difference Schemes
This page was built for publication: An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement
