Preconditioned Modified Explicit Decoupled Group for the Solution of Steady State Navier-Stokes Equation

Authors

Norhashidah Hj. Mohd Ali, School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Pulau Pinang, MalaysiaFollow
Abdulkafi Mohammed Saeed

Author Country (or Countries)

Malaysia

Abstract

Combining iterative schemes with suitable preconditioners may improve the rate of the convergence of the methods. However, the real difficulty lies in the construction of the correct preconditioners applied to the formulated schemes. In this paper, the Modified Explicit Decoupled Group Successive Over-Relaxation method is formulated to solve the two dimensional steady-state Navier-Stokes equations. A new block splitting preconditioned matrix is applied to the formulated scheme as an effort to accelerate the convergence rate. Numerical experiments are carried out to confirm the effectiveness of the preconditioner in terms of accuracy and execution timings. Comparison with its unpreconditioned counterpart will also be reported.

Suggested Reviewers

N/A

Recommended Citation

Hj. Mohd Ali, Norhashidah and Mohammed Saeed, Abdulkafi (2013) "Preconditioned Modified Explicit Decoupled Group for the Solution of Steady State Navier-Stokes Equation," Applied Mathematics & Information Sciences: Vol. 07: Iss. 5, Article 22.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss5/22