MQHSS-Uzawa Iterative Method for Solving Navier- Stokes Equations

This article proposes the MQHSS-Uzawa iterative method to solve the Navier-Stokes equation based on the MQHSS method and the Uzawa algorithm, and obtains and proves the convergence theorem of the MQHSS-Uzawa iterative method. By selecting two different parameter matrices, the eigenvalues distribution of the MQHS-Uzawa preconditioned matrix and the original coefficient matrix were compared. By numerical example show that the proposed new method has good robustness and convergence performance.