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Justification of a splitting scheme for ocean dynamics equations
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G. M. Kobelkov
Veröffentlicht/Copyright:
12. September 2008
Abstract
In the paper a splitting method used in practice for numerical solution of primitive equations is justified. The idea of justification is similar to the one proposed by R. Rannacher with respect to the Chorin scheme for the Navier–Stokes equations. It is suggested that a solution to the splitting scheme tends to a solution to the primitive equations as the time step tends to zero.
Published Online: 2008-09-12
Published in Print: 2008-August
© de Gruyter 2008
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- To the seventieth anniversary of Valentin Pavlovich Dymnikov
- Estimates of spectrum bounds for some operators in geophysical hydrodynamics
- Verification of the cross 3D algorithm on quantum chemistry data
- Unstable periodic trajectories of a barotropic model of the atmosphere
- Methods of semiconjugate directions
- Justification of a splitting scheme for ocean dynamics equations
- A problem of asymptotic stabilization by the right-hand side
Artikel in diesem Heft
- To the seventieth anniversary of Valentin Pavlovich Dymnikov
- Estimates of spectrum bounds for some operators in geophysical hydrodynamics
- Verification of the cross 3D algorithm on quantum chemistry data
- Unstable periodic trajectories of a barotropic model of the atmosphere
- Methods of semiconjugate directions
- Justification of a splitting scheme for ocean dynamics equations
- A problem of asymptotic stabilization by the right-hand side
