Two-dimensional Navier-Stokes equations with adaptivity on structured meshes
Computer Methods in Applied Mechanics and Engineering - Special issue on reliability in computational mechanics
A synchronous and iterative flux-correction formalism for coupled transport equations
Journal of Computational Physics
The spectral element method for the shallow water equations on the sphere
Journal of Computational Physics
MPDATA: a finite-difference solver for geophysical flows
Journal of Computational Physics
An all-scale anelastic model for geophysical flows: dynamic grid deformation
Journal of Computational Physics
MPDATA: An edge-based unstructured-grid formulation
Journal of Computational Physics
Numerical solution of the reaction-advection-diffusion equation on the sphere
Journal of Computational Physics
Adaptive Atmospheric Modeling: Key Techniques in Grid Generation, Data Structures, and Numerical Operations with Applications (Lecture Notes in Computational Science and Engineering)
A parallel adaptive barotropic model of the atmosphere
Journal of Computational Physics
Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations
Journal of Computational Physics
Journal of Computational Physics
A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates
Journal of Computational Physics
Iterated upwind schemes for gas dynamics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
EULAG, a computational model for multiscale flows: An MHD extension
Journal of Computational Physics
Journal of Computational Physics
An unstructured-mesh atmospheric model for nonhydrostatic dynamics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.48 |
An arbitrary finite-volume approach is developed for discretising partial differential equations governing fluid flows on the sphere. Unconventionally for unstructured-mesh global models, the governing equations are cast in the anholonomic geospherical framework established in computational meteorology. The resulting discretisation retains proven properties of the geospherical formulation, while it offers the flexibility of unstructured meshes in enabling irregular spatial resolution. The latter allows for a global enhancement of the spatial resolution away from the polar regions as well as for a local mesh refinement. A class of non-oscillatory forward-in-time edge-based solvers is developed and applied to numerical examples of three-dimensional hydrostatic flows, including shallow-water benchmarks, on a rotating sphere.