Some multilevel decoupled algorithms for a mixed Navier-Stokes/Darcy model
For computational fluid dynamics researchers, this work offers an incremental improvement in decoupling strategies for coupled flow problems.
The paper proposes multilevel decoupled algorithms for the mixed Navier-Stokes/Darcy model, achieving efficient decoupling through linear subdomain solves after a coarse nonlinear solve. Error estimates and numerical experiments demonstrate effectiveness.
In this work, several multilevel decoupled algorithms are proposed for a mixed Navier-Stokes/Darcy model. These algorithms are based on either successively or parallelly solving two linear subdomain problems after solving a coupled nonlinear coarse grid problem. Error estimates are given to demonstrate the approximation accuracy of the algorithms. Experiments based on both the first order and the second order discretizations are presented to show the effectiveness of the decoupled algorithms.