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Weak Form & LiveLink™ for MATLAB® Based Modified Uzawa Method For Solving Steady Navier-Stokes Equation

H. Sheng[1], S. Zhu[1]
[1]Shanghai Jiaotong University, Minhang, Shanghai, China

Published in 2014

We demonstrate a simple example about how to design my own algorithm for Navier-Stokes equation by weak form PDE and LiveLink™ for MATLAB®. After the computation, we get the same solution as other FEM packages (FreeFEM++ & FeniCs) at each iterative step, and we can see the Navier-Stokes equation’s solution at error between each step.

This attempt gives algorithm researchers a hint or a method to test their algorithm, and gives engineers another way to compute their models especially those cannot find appropriate built-in interface in COMSOL Multiphysics® software.

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sheng_poster.pdf - 0.9MB
sheng_paper.pdf - 1.08MB
sheng_abstract.pdf - 0.53MB