In this paper, we propose and analyze the parallel Robin-Robin domain decomposition method based on the modifiedcharacteristicfiniteelement method for the time-dependent dual-porosity-Navier-Stokes model with the B...
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In this paper, we propose and analyze the parallel Robin-Robin domain decomposition method based on the modifiedcharacteristicfiniteelement method for the time-dependent dual-porosity-Navier-Stokes model with the Beavers-Joseph interface condition. For the coupling terms, we treat them in an explicit manner which takes advantage of information obtained in previous time steps to construct a non-iteration domain decomposition method. By this means, two single dual-porosity equations and a single Navier-Stokes equation are needed to solve at each time. In particular, we solve the Navier-Stokes equation by the modifiedcharacteristicfiniteelement method, which avoids the computational inefficiency caused by the nonlinear convection term. Furthermore, we prove the error convergence of solutions by mathematical induction, whose proof implies the uniform L-infinity-boundedness of the fully discrete velocity solution in conduit flow. Finally, some numerical examples are presented to show the effectiveness and efficiency of the proposed method.
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