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Simulating Three-Dimensional Free Surface Viscoelastic Flows using Moving Finite Difference Schemes

Published online by Cambridge University Press:  28 May 2015

Yubo Zhang  and
Tao Tang
Yubo Zhang
Affiliation:
Department of Computer Science, 2063 Kemper Hall, University of California at Davis, One Shields Avenue, Davis, CA 95616-8562, USA
Tao Tang
Affiliation:
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Kowloon, Hong Kong
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Abstract

An efficient finite difference framework based on moving meshes methods is developed for the three-dimensional free surface viscoelastic flows. The basic model equations are based on the incompressible Navier-Stokes equations and the Oldroyd-B constitutive model for viscoelastic flows is adopted. A logical domain semi-Lagrangian scheme is designed for moving-mesh solution interpolation and convection. Numerical results show that harmonic map based moving mesh methods can achieve better accuracy for viscoelastic flows with free boundaries while using much less memory and computational time compared to the uniform mesh simulations.

Keywords

65M2065N22Moving meshfree surfaceviscoelastic flowsolution interpolation
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 1 , February 2011 , pp. 92 - 112
Copyright
Copyright © Global Science Press Limited 2011

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