Non-reflecting boundary conditions
Journal of Computational Physics
MPDATA: a finite-difference solver for geophysical flows
Journal of Computational Physics
A two-level time-stepping method for layered ocean circulation models
Journal of Computational Physics
A three-dimensional spectral element model for the solution of the hydrostatic primitive equations
Journal of Computational Physics
An all-scale anelastic model for geophysical flows: dynamic grid deformation
Journal of Computational Physics
Computers & Mathematics with Applications
Building resolving large-eddy simulations and comparison with wind tunnel experiments
Journal of Computational Physics
Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations
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 unstructured-mesh atmospheric model for nonhydrostatic dynamics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.51 |
The classical terrain-following coordinate transformation of Gal-Chen and Somerville has been extended to a broad class of time-dependent vertical domains. We provide explicit formulae for the associated transformation coefficients which are readily applicable to numerical implementations. The proposed extension facilitates modeling of undulating boundaries in various areas of computational fluid dynamics. The implementation is discussed in the context of a nonhydrostatic anelastic model for simulations of atmospheric and oceanic flows. The theoretical development is illustrated with numerical simulations of idealized flows. We also discuss an example of a practical application which incorporates a long-wave-approximation for a finite-amplitude free-surface upper boundary, directly relevant to ocean models.