On the construction of the Voronoi mesh on a sphere
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Publication:1093340
DOI10.1016/0021-9991(85)90140-8zbMath0628.65115OpenAlexW2061053015MaRDI QIDQ1093340
Jeffrey M. Augenbaum, Charles S. Peskin
Publication date: 1985
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(85)90140-8
Meteorology and atmospheric physics (86A10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Basic methods in fluid mechanics (76M99)
Related Items (11)
A new computational growth model for sea urchin skeletons ⋮ Computation of compact distributions of discrete elements ⋮ About the Delaunay-Voronoi tesselation ⋮ A Lagrangian fractional step method for the incompressible Navier-Stokes equations on a periodic domain ⋮ Lagrange-Galerkin methods on spherical geodesic grids ⋮ Scaffolding skeletons using spherical Voronoi diagrams ⋮ On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere ⋮ On the inter-comparison of two tracer transport schemes on icosahedral grids ⋮ New icosahedral grid-point discretizations of the shallow water equations on the sphere ⋮ Numerical representation of geostrophic modes on arbitrarily structured C-grids ⋮ Voronoi diagrams on the sphere
Cites Work
- A new algorithm for three-dimensional Voronoi tessellation
- Adaptive mesh refinement for hyperbolic partial differential equations
- A Lagrangian method for the shallow water equations based on a Veronoi mesh - One dimensional results
- Construction of Voronoi polyhedra
- The Lagrangian solution of transient problems in hydrodynamics using a triangular mesh
- An adaptive pseudospectral method for discontinuous problems
- A procedure for the construction of Voronoi polyhedra
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