Title

Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations

Document Type

Article

Publication Date

1-1-2015

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

The local RBFs based collocation methods (LRBFCM) is presented to solve two-dimensional incompressible Navier-Stokes equations. In avoiding the illconditioned problem, the weight coefficients of linear combination with respect to the function values and its derivatives can be obtained by solving low-order linear systems within local supporting domain. Then, we reformulate local matrix in the global and sparse matrix. The obtained large sparse linear systems can be directly solved instead of using more complicated iterative method. The numerical experiments have shown that the developed LRBFCM is suitable for solving the incompressible Navier-Stokes equations with high accuracy and efficiency.

Publication Title

Advances in Applied Mathematics and Mechanics

Volume

7

Issue

4

First Page

430

Last Page

440

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