Using Python to Solve the Navier-Stokes Equations - Applications in the Preconditioned Iterative Methods

Authors

Jia Liu, University of West Florida
Lina Wu, CUNY Borough of Manhattan Community CollegeFollow
Xingang Fang, University of West Florida

Document Type

Article

Publication Date

5-5-2015

Abstract

This article describes a new numerical solver for the Navier-Stokes equations. The proposed solver is written in Python which is a newly developed language. The Python packages are built to solve the Navier-Stokes equations with existing libraries. We have created discretized coefficient matrices from systems of the Navier-Stokes equations by the finite difference method. In addition we focus on the preconditioned Krylov subspace iterative methods in the linearized systems. Numerical results of performances for the Preconditioned iterative methods are demonstrated. The comparison between Python and Matlab is discussed at the end of the paper.

Comments

This article was originally published in the Journal of Scientific Research and Reports, available at DOI: 10.9734/JSRR/2015/17346.

This is an Open Access article distributed under the terms of the Creative Commons Attribution (CC BY 4.0).