High order finite difference and finite volume methods for advection on the sphere

DOI10.1007/s10915-011-9527-xzbMath1252.65145OpenAlexW2070562774MaRDI QIDQ454330

Bjorn Sjogreen

Publication date: 1 October 2012

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-011-9527-x

zbMATH Keywords

stabilityfinite difference methodfinite volume methodnumerical examplesweather predictioncomputational efficiencyclimate modelingweighted essentially non-oscillatory schemesummation by partsadvection on a spherepartial differential equations on the sphere

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Meteorology and atmospheric physics (86A10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. I: Non-staggered grid

Uses Software

• chammp

Cites Work

• The spectral element method for the shallow water equations on the sphere
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Weighted essentially non-oscillatory schemes on triangular meshes
• Summation by parts for finite difference approximations for \(d/dx\)
• Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems
• Multiresolution wavelet-based adaptive numerical dissipation control for high-order methods
• Efficient implementation of weighted ENO schemes
• A fourth order accurate finite difference scheme for the elastic wave equation in second order formulation
• Finite volume transport on various cubed-sphere grids
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• Summation by Parts, Projections, and Stability. I
• Unnamed Item
• Unnamed Item

This page was built for publication: High order finite difference and finite volume methods for advection on the sphere