@Article{AAMM-5-194,
author = {Gonçalves Noleto , LucianoN. D. Barcelos Jr. , Manuel and C. P. Brasil Jr. , Antonio},
title = {A Pseudo-Stokes Mesh Motion Algorithm},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {2},
pages = {194--211},
abstract = {<p style="text-align: justify;">This work presents a moving mesh methodology based on the solution
of a pseudo flow problem. The mesh motion is modeled as a pseudo Stokes
problem solved by an explicit finite element projection method. The mesh
quality requirements are satisfied by employing a null divergent velocity
condition. This methodology is applied to triangular unstructured meshes
and compared to well known approaches such as the ones based on diffusion
and pseudo structural problems. One of the test cases is an airfoil with
a fully meshed domain. A specific rotation velocity is imposed as the
airfoil boundary condition. The other test is a set of two cylinders
that move toward each other. A mesh quality criterion is employed to
identify critically distorted elements and to evaluate the performance
of each mesh motion approach. The results obtained for each test case
show that the pseudo-flow methodology produces satisfactory meshes
during the moving process.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.11-m1186},
url = {http://global-sci.org/intro/article_detail/aamm/65.html}
}