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An Upwind-mixed Finite Element Method for Compressible Miscible Displacement

Wang Huan; Yuan Yirang

School of Science, China Jiliang University, Hangzhou 310018

Received:2005-08-17 Revised:2006-07-12 Online:2007-02-25 Published:2007-02-25
Contact: Wang Huan

Abstract

Abstract: Consider an upwind-mixed finite element method for computing the
two-phase compressible miscible displacement with dispersion in porous media. Optimal-order error estimates for concentration approximation in L² and pressure approximation in H¹ are derived. Numerical experiment proves the method is effective for avoiding numerical diffusion and nonphysical oscillations.

Key words: Two-phase displacement, Upwind-mixed finite element method, Error estimates, Dispersion

CLC Number:

65M12

Wang Huan; Yuan Yirang. An Upwind-mixed Finite Element Method for Compressible Miscible Displacement[J].Acta mathematica scientia,Series A, 2007, 27(1): 45-056.

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An Upwind-mixed Finite Element Method for Compressible Miscible Displacement

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