An unconditionally stable semi-Lagrangian method for the spherical atmospherical shallow water equations

International Journal for Numerical Methods in Fluids

Volumn 34, Issue 6, 2000, Pages 527-558

  Carfora, M F ^a  

^a CNR   (Italy)

Author keywords

Finite difference; Finite volume; Rotating sphere; Semi implicit; Semi Lagrangian; Shallow water equations

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; EQUATIONS OF MOTION; FINITE DIFFERENCE METHOD; FINITE VOLUME METHOD; NUMERICAL METHODS; VELOCITY;

CONTINUITY EQUATION; MOMENTUM EQUATION; ROTATING SPHERE; SHALLOW WATER EQUATIONS;

LAGRANGE MULTIPLIERS;

ATMOSPHERIC CIRCULATION; FINITE DIFFERENCE TECHNIQUE; FINITE VOLUME TECHNIQUE; LAGRANGIAN ANALYSIS; SHALLOW-WATER EQUATION; WEATHER MODELING;

EID: 0034324755     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0363(20001130)34:6<527::AID-FLD69>3.0.CO;2-Z     Document Type: Article

References (10)

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5. Integration of the shallow water equation on the sphere using a vector semi-Lagrangian scheme with a multigrid solver
6. Semi-implicit finite difference methods for the two-dimensional shallow water equations
7. Semi-Lagrangian treatment of advection on the sphere with accurate spatial and temporal approximations
8. A standard test set for numerical approximations to the shallow water equations in spherical geometry
9. Spectral transform methods for solving the shallow water equations on the sphere