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

DOI10.1016/j.jcp.2013.08.050zbMath1349.65512OpenAlexW2123758763MaRDI QIDQ348302

Ramachandran D. Nair, Christoph Erath

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.2013.08.050

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) Other natural sciences (mathematical treatment) (92F05)

Related Items (6)

Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations ⋮ 3D conservative cascade semi-Lagrangian transport scheme using reduced latitude-longitude grid (CCS-RG) ⋮ Two conservative multi-tracer efficient semi-Lagrangian schemes for multiple processor systems integrated in a spectral element (climate) dynamical core ⋮ A high order characteristic discontinuous Galerkin scheme for advection on unstructured meshes ⋮ High-order central ENO finite-volume scheme for hyperbolic conservation laws on three-dimensional cubed-sphere grids ⋮ Parallel implementation of the cascade mass-conserving semi-Lagrangian transport scheme

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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