Reprint of: A conservative multi-tracer transport scheme for spectral-element spherical grids

DOI10.1016/j.jcp.2014.04.008zbMath1349.65513OpenAlexW2092760889MaRDI QIDQ349269

Christoph Erath, Ramachandran D. Nair

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.2014.04.008

zbMATH Keywords

scalabilityparallelizationconservative semi-Lagrangiancharacteristic semi-Lagrangiancubed sphereflux-corrected transportmulti-moment reconstructionmulti-tracer transportspectral-element grid

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Meteorology and atmospheric physics (86A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Computational methods for problems pertaining to geophysics (86-08) Collected or selected works; reprintings or translations of classics (01A75) Other natural sciences (mathematical treatment) (92F05)

Uses Software

• chammp

Cites Work

• A class of deformational flow test cases for linear transport problems on the sphere
• A flux-form version of the conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed sphere grid
• A low communication and large time step explicit finite-volume solver for non-hydrostatic atmospheric dynamics
• The spectral element method for the shallow water equations on the sphere
• Fully multidimensional flux-corrected transport algorithms for fluids
• A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
• Multidimensional upwind methods for hyperbolic conservation laws
• Shallow water model on cubed-sphere by multi-moment finite volume method
• Selective monotonicity preservation in scalar advection
• A spectral finite volume transport scheme on the cubed sphere
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
• Incremental remapping as a transport/advection algorithm
• Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations
• Unified formulation for compressible and incompressible flows by using multi-integrated moments. II. Multi-dimensional version for compressible and incompressible flows
• Numerical Methods for Fluid Dynamics
• Finite Volume Methods for Hyperbolic Problems
• Flux-Corrected Transport

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