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计算数学  1981 

ON THE ENERGY CONSERVATION PROPERTIES OF THE FINITE DIFFERENCE SCHEMES IN NON-CONSERVATIVE FORM
关于非守恒形式差分格式的能量守恒问题

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Abstract:

The energy conservation properties of the finite difference schemes applied. to thetwo-dimensional nonsteady fluid dynamic equations are studied. Several finite differ-ence schemes which preserve the conservation of energy in Lagrangian coordinatesystem for the energy equation in non-conservative form are constructed. It is shownthat the interpolation formulae of pressure on the boundary of a cell are correspond-ing to the approximate evaluations of the kinetic energy in a cell.

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