Improved smoothness and homogeneity of icosahedral grids using the spring dynamics method

DOI10.1016/J.JCP.2013.10.013zbMath1349.65666OpenAlexW2051135255MaRDI QIDQ348570

Hirofumi Tomita, Shin-ichi Iga

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.2013.10.013

zbMATH Keywords

grid transformationicosahedral gridquasi-homogeneous grid

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

Computation at a coordinate singularity ⋮ Smooth, seamless, and structured grid generation with flexibility in resolution distribution on a sphere based on conformal mapping and the spring dynamics method ⋮ A hybrid discrete exterior calculus and finite difference method for Boussinesq convection in spherical shells ⋮ Equidistributed icosahedral configurations on the sphere ⋮ Computational stability investigations for a highly symmetric system: the pressurized spherical membrane ⋮ The scaling and skewness of optimally transported meshes on the sphere

Uses Software

• chammp
• NICAM

Cites Work

• On numerical solution of the shallow water equations with chemical reactions on icosahedral geodesic grid
• 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
• Vortex erosion and amalgamation in a new model of large scale flow on the sphere
• An optimization of the icosahedral grid modified by spring dynamics.
• Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations
• Geometric Properties of the Icosahedral-Hexagonal Grid on the Two-Sphere
• A new dynamical framework of nonhydrostatic global model using the icosahedral grid
• Icosahedral Discretization of the Two-Sphere
• DISCRETE LAPLACE–BELTRAMI OPERATOR ON SPHERE AND OPTIMAL SPHERICAL TRIANGULATIONS
• Shallow water model on a modified icosahedral geodesic grid by using spring dynamics.

This page was built for publication: Improved smoothness and homogeneity of icosahedral grids using the spring dynamics method