A high-performance explicit vertical advection scheme for ocean models: How PPM can beat the CFL condition

Applied Mathematical Modelling

Volumn 24, Issue 1, 2000, Pages 1-9

  James, I D ^a  

^a NATIONAL OCEANOGRAPHY CENTRE   (United Kingdom)

Author keywords

Advection schemes; Courant number; Downwelling; Ocean models; Upwelling; Water column

Indexed keywords

BATHYMETRY; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; NUMERICAL METHODS; OCEANOGRAPHY; VELOCITY;

COORDINATE MODELS; COURANT-FRIEDRICHS-LEWY CONDITION; DOWNWELLING; HIGH PERFORMANCE EXPLICIT VERTICAL ADVECTION; NUMERICAL DIFFUSION; OCEAN MODELS; PIECEWISE PARABOLIC METHOD; UPWELLING;

MATHEMATICAL MODELS;

ADVECTION; CIRCULATION MODELING; DOWNWELLING; OCEANIC CIRCULATION; UPWELLING; WATER COLUMN;

EID: 0033954282     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(99)00022-0     Document Type: Article

References (5)

1. Annan J.D. Numerical methods for the solution of the turbulence energy equations in shelf seas. International Journal for Numerical Methods in Fluids. 29:1999;193-206.
2. James I.D. Advection schemes for shelf sea models. Journal of Marine Systems. 8:1996;237-254.
3. Haney R.L. On the pressure gradient force over steep topography in sigma coordinate ocean models. Journal of Physical Oceanography. 21:1991;610-619.
4. Mellor G.L., Ezer T., Oey L.-Y. The pressure gradient conundrum of sigma coordinate ocean models. Journal of Atmospheric and Oceanic Technology. 11:1994;1126-1134.
5. Colella P., Woodward P.R. The piecewise parabolic method (PPM) for gas-dynamical simulations. Journal of Computational Physics. 54:1984;174-201.