Adaptive grid refinement for numerical weather prediction
Journal of Computational Physics
MPDATA: a finite-difference solver for geophysical flows
Journal of Computational Physics
Antidiffusive Velocities for Multipass Donor Cell Advection
SIAM Journal on Scientific Computing
Large-eddy simulations of convective boundary layers using nonoscillatory differencing
Physica D - Special issue originating from the 18th Annual International Conference of the Center for Nonlinear Studies, Los Alamos, NM, May 11&mdash ;15, 1998
Journal of Computational Physics
A parallel adaptive barotropic model of the atmosphere
Journal of Computational Physics
Building resolving large-eddy simulations and comparison with wind tunnel experiments
Journal of Computational Physics
Iterated upwind schemes for gas dynamics
Journal of Computational Physics
On numerical realizability of thermal convection
Journal of Computational Physics
Pores resolving simulation of Darcy flows
Journal of Computational Physics
An edge-based unstructured mesh discretisation in geospherical framework
Journal of Computational Physics
On the accuracy of high-order finite elements in curvilinear coordinates
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
An unstructured-mesh atmospheric model for nonhydrostatic dynamics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.49 |
We have developed an adaptive grid-refinement approach for simulating geophysical flows on scales from micro to planetary. Our model is nonoscillatory forward-in-time (NFT), nonhydrostatic, and anelastic. The major focus in this effort to date has been the design of a generalized mathematical framework for the implementation of deformable coordinates and its efficient numerical coding in a generic Eulerian/semi-Lagrangian NFT format. The key prerequisite of the adaptive grid is a time-dependent coordinate transformation, implemented rigorously throughout the governing equations of the model. The transformation enables mesh refinement indirectly via dynamic change of the metric coefficients, while retaining advantages of Cartesian mesh calculations (speed, low memory requirements, and accuracy) conducted fully in the computational domain. Diverse test results presented in this paper - simulations of a traveling stratospheric inertio-gravity-wave packet (with numerically advected dense-mesh region) and an idealized climate of the Earth (with analytically prescribed adaptive transformations) - demonstrate the potential and the efficacy of the new deformable grid model for tracing targeted flow features and dynamically adjusting to prescribed undulations of model boundaries.