Modeling and numerical approximation of a 2.5D set of equations for mesoscale atmospheric processes

DOI10.1016/j.jcp.2012.06.035zbMath1284.86002arXiv1111.2267OpenAlexW2134736020MaRDI QIDQ2446751

Dante Kalise, Ivar Lie

Publication date: 22 April 2014

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

Full work available at URL: https://arxiv.org/abs/1111.2267

zbMATH Keywords

layeringdiscontinuous Galerkinprimitive equationsupwind fluxtest cases for dynamical coresWENO-TVD schemes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Meteorology and atmospheric physics (86A10) Computational methods for problems pertaining to geophysics (86-08)

Uses Software

• EnKF
• HE-E1GODF
• GFORCE
• MUSTA

Cites Work

• Unnamed Item
• Partially implicit peer methods for the compressible Euler equations
• WENO schemes based on upwind and centred TVD fluxes
• Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
• Simulations of the 2.5D inviscid primitive equations in a limited domain
• Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
• Weighted essentially non-oscillatory schemes
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• Efficient implementation of weighted ENO schemes
• A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases
• A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes
• MUSTA fluxes for systems of conservation laws
• MUSTA: a multi-stage numerical flux
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics
• Total variation diminishing Runge-Kutta schemes
• CENTERED DIFFERENCE SCHEMES FOR NONLINEAR HYPERBOLIC EQUATIONS
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• Centred TVD schemes for hyperbolic conservation laws
• On the Construction and Comparison of Difference Schemes
• MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements
• Data Assimilation

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