@Article{NMTMA-4-1,
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 = {<p style="text-align: justify;">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.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2011.m9017},
url = {https://global-sci.com/article/90688/simulating-three-dimensional-free-surface-viscoelastic-flows-using-moving-finite-difference-schemes}
}