Volume 4, Issue 1
Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes

Yubo Zhang & Tao Tang

Numer. Math. Theor. Meth. Appl., 4 (2011), pp. 92-112.

Published online: 2011-04

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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

Moving mesh, free surface, viscoelastic flow, solution interpolation.

  • AMS Subject Headings

65M20, 65N22

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-4-92, author = {}, title = {Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {1}, pages = {92--112}, 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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.m9017}, url = {http://global-sci.org/intro/article_detail/nmtma/5960.html} }
TY - JOUR T1 - Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 92 EP - 112 PY - 2011 DA - 2011/04 SN - 4 DO - http://doi.org/10.4208/nmtma.2011.m9017 UR - https://global-sci.org/intro/article_detail/nmtma/5960.html KW - Moving mesh, free surface, viscoelastic flow, solution interpolation. AB -

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.

Yubo Zhang & Tao Tang. (2020). Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes. Numerical Mathematics: Theory, Methods and Applications. 4 (1). 92-112. doi:10.4208/nmtma.2011.m9017
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