Decoupled schemes for free flow and porous medium systems

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Abstract

A comparison study of different decoupled schemes for the evolutionary Stokes/Darcy problem is carried out. Stability and error estimates of a mass conservative multiple-time-step algorithm are provided under a time step restriction which depends on the physical parameters of the flow system and the ratio between the time steps applied in the free flow and porous medium domains. Numerical results are presented and the advantage of multirate time integration is demonstrated.

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Rybak, I., & Magiera, J. (2016). Decoupled schemes for free flow and porous medium systems. In Lecture Notes in Computational Science and Engineering (Vol. 104, pp. 613–621). Springer Verlag. https://doi.org/10.1007/978-3-319-18827-0_63

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