On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids

DOI10.1016/j.jcp.2014.04.043zbMath1351.86005OpenAlexW2005594939MaRDI QIDQ728583

Pedro S. Peixoto, Saulo R. M. Barros

Publication date: 20 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.2014.04.043

zbMATH Keywords

radial basis functionsstaggered gridsemi-Lagrangianalignment indexC gridhybrid reconstruction methodicosahedralvector interpolationvector reconstructionWchspress spherical coordinates

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Meteorology and atmospheric physics (86A10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computational methods for problems pertaining to geophysics (86-08) Polytopes and polyhedra (52B99)

Related Items (8)

Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative ⋮ Formulation of an unstructured grid model for global Ocean dynamics ⋮ Generalised primal-dual grids for unstructured co-volume schemes ⋮ A conservative discretization of the shallow-water equations on triangular grids ⋮ Improving the Reconstruction of Vector Fields Using Mixed Finite Element Methods and Optimal Preconditioning ⋮ Semi-Lagrangian Exponential Integration with Application to the Rotating Shallow Water Equations ⋮ Higher-order finite volume differential operators with selective upwinding on the icosahedral spherical grid ⋮ A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers' equation

Uses Software

• QSHEP2D
• QSHEP3D
• SSRFPACK
• chammp

Cites Work

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• A class of deformational flow test cases for linear transport problems on the sphere
• Error estimates for generalized barycentric interpolation
• Velocity interpolation and streamline tracing on irregular geometries
• Surfaces over Dirichlet tessellations
• A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
• Numerical techniques for global atmospheric models.
• A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids
• Numerical representation of geostrophic modes on arbitrarily structured C-grids
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• A rational finite element basis
• Bernstein-Bézier polynomials on spheres and sphere-like surfaces
• Semi-implicit, semi-Lagrangian modelling for environmental problems on staggered Cartesian grids with cut cells
• Error estimates and condition numbers for radial basis function interpolation
• Conservation properties of unstructured staggered mesh schemes
• Mean value coordinates
• Analysis of grid imprinting on geodesic spherical icosahedral grids
• The Runge phenomenon and spatially variable shape parameters in RBF interpolation
• Stable Evaluation of Gaussian Radial Basis Function Interpolants
• Kernel-based vector field reconstruction in computational fluid dynamic models
• Interpolation of data on the surface of a sphere
• Algorithm 661
• Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
• LOCAL RADIAL BASIS FUNCTION APPROXIMATION ON THE SPHERE
• Numerical Methods for Fluid Dynamics
• A Stable Algorithm for Flat Radial Basis Functions on a Sphere
• Polynomial reconstruction of staggered unstructured vector fields
• Multivariate interpolation of large sets of scattered data
• Algorithm 773
• Smooth interpolation of large sets of scattered data
• Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions
• Radial Basis Functions
• Constrained Centroidal Voronoi Tessellations for Surfaces
• Conservative semi-Lagrangian advection on adaptive unstructured meshes
• Computational Science and Its Applications – ICCSA 2004
• Shallow water model on a modified icosahedral geodesic grid by using spring dynamics.

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