Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes

DOI10.1016/j.jcp.2017.04.061zbMath1380.86007arXiv1702.00233OpenAlexW2584793779MaRDI QIDQ1693888

Terry Davies, John Methven, Hilary Weller, James R. Shaw

Publication date: 1 February 2018

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

Full work available at URL: https://arxiv.org/abs/1702.00233

zbMATH Keywords

finite volume methodunstructured meshleast-squares approximationvon Neumann stability analysisatmospheric modelling

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Meteorology and atmospheric physics (86A10)

Related Items (2)

Conservation with moving meshes over orography ⋮ Higher-order finite volume differential operators with selective upwinding on the icosahedral spherical grid

Uses Software

• MPDATA
• OpenFOAM
• ASAM
• ExnerFOAM

Cites Work

• Partially implicit peer methods for the compressible Euler equations
• MPDATA: an edge-based unstructured-grid formulation
• High-performance high-resolution semi-Lagrangian tracer transport on a sphere
• On simplifying `incremental remap'-based transport schemes
• A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
• Stability analysis for linear discretisations of the advection equation with Runge-Kutta time integration
• Numerical techniques for global atmospheric models.
• High order multi-moment constrained finite volume method. I: Basic formulation
• Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids
• On the use of a coordinate transformation for the solution of the Navier- Stokes equations
• A multi-moment constrained finite volume method on arbitrary unstructured grids for incompressible flows
• An unstructured-mesh finite-volume MPDATA for compressible atmospheric dynamics
• Finite volume transport on various cubed-sphere grids
• High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics
• Conservative semi-Lagrangian advection on adaptive unstructured meshes
• Heavenly Mathematics
• Flow Simulation in Heterogeneous Porous Media With the Moving Least-Squares Method

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