Decoupled schemes for a non-stationary mixed Stokes-Darcy model

Mu, Mo; Zhu, Xiaohong

doi:10.1090/S0025-5718-09-02302-3

Decoupled schemes for a non-stationary mixed Stokes-Darcy model
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by Mo Mu and Xiaohong Zhu PDF

Math. Comp. 79 (2010), 707-731 Request permission

Abstract:

We study numerical methods for solving a non-stationary mixed Stokes-Darcy problem that models coupled fluid flow and porous media flow. A decoupling approach based on interface approximation via temporal extrapolation is proposed for devising decoupled marching algorithms for the mixed model. Error estimates are derived and numerical experiments are conducted to demonstrate the computational effectiveness of the decoupling approach.

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