À.À.Nesterov Application of TVD-schemes for approximation of momentum transfer in geophysical models of hydromechanics with spaced grids |
Applied hydromechanics, Vol. 10 (82) ¹ 1, (2008) |
| Scheme of central differences, which is often used for numerical approximation of the advection terms in the momentum equations in geophysical hydrodynamics models with staggered grids, can induce non-physical oscillations of the velocity field and cause numerical instabilities. This paper proposes a numerical method for momentum advection approximation, which is based on the specific interpolation of the velocity field with subsequent application of any scheme for a scalar transport equation, including TVD schemes. This method is studied in the application to the problems of flow modeling in the water reservoirs with free surface. |
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| TEXT LANGUAGE: Russian |