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|Title:||A newton-type method for fluid computation||Authors:||LI AIDAN||Keywords:||monotonical, multigrid, Newtonâ€™s method, Newton-type method, high order accuracy, incompressible flow||Issue Date:||14-Apr-2005||Citation:||LI AIDAN (2005-04-14). A newton-type method for fluid computation. ScholarBank@NUS Repository.||Abstract:||An algorithm is presented for the solution of steady incompressible Navier-Stokes equations (SINSE). Based on domain decomposition and operator decomposition, this method achieves monotonic decay of the residual errors, even in ill-posed conditions. The driven cavity flow at Re=1000, Re=5000 and Re=10000 is taken as the model problems. The classic Newtona??s method is also used to solve the equations as a reference. The multigrid method is employed in the system of the linear equations to observe its effectiveness on convergent performance and check its monotonic behavior. The numerical results exhibit that multigrid procedure is efficient in saving the computational cost if the appropriate operators and parameters are combined. The discretization accuracy of the equations and pressure boundary condition is refined from one-order to second-order and fourth-order respectively. It is demonstrated that fourth-order scheme has more advantage than the second-order scheme to save the computational cost.||URI:||http://scholarbank.nus.edu.sg/handle/10635/14591|
|Appears in Collections:||Master's Theses (Open)|
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