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Original Articles

The expanded upwind-mixed method on changing meshes for positive semi-definite problem of two-phase miscible flow

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Pages 1113-1125 | Received 14 Dec 2005, Accepted 21 May 2007, Published online: 04 Mar 2011
 

Abstract

The expanded upwind-mixed method on dynamically changing meshes is presented for the positive semi-definite problem of two-phase miscible flow in porous media. The pressure is approximated by a mixed finite element method and the concentration is approximated by a method which upwinds the convection and incorporates diffusion using an expanded mixed finite element method. When the mesh changes, error estimate is derived under the assumption of only a positive semi-definite diffusion coefficient. Finally, the numerical experiments are given.

2000 AMS Subject Classification :

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No.10372052, 10671060).

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