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Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization

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Abstract This paper presents the rotational form of the pressure-correction method with the modular grad-div stabilization for the non-stationary Stokes/Darcy model. The presented methods can improve not only the efficiency… Click to show full abstract

Abstract This paper presents the rotational form of the pressure-correction method with the modular grad-div stabilization for the non-stationary Stokes/Darcy model. The presented methods can improve not only the efficiency of calculation but also the conservation of mass in finite element methods. Moreover, the stability of the presented methods is shown. Finally, some numerical results are given to show that the presented methods are reliable.

Keywords: modular grad; div stabilization; pressure correction; correction method; stokes darcy; grad div

Journal Title: Applied Numerical Mathematics
Year Published: 2021

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