TY - JOUR
T1 - Hybrid Surface Mesh Adaptation for Climate Modeling
AU - Ahmed Khamayseh, Valmor de Almeida & Glen Hansen
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 410
EP - 434
PY - 2008
DA - 2008/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nmtma/6057.html
KW - surface mesh generation, mesh adaptation, mesh optimization, climate modeling.
AB - <p style="text-align: justify;">Solution-driven mesh adaptation is becoming quite popular for spatial error
control in the numerical simulation of complex computational physics applications, such
as climate modeling. Typically, spatial adaptation is achieved by element subdivision ($h$ adaptation) with a primary goal of resolving the local length scales of interest. A second, less-popular method of spatial adaptivity is called &quot;mesh motion&quot; ($r$ adaptation);
the smooth repositioning of mesh node points aimed at resizing existing elements to
capture the local length scales. This paper proposes an adaptation method based on a
combination of both element subdivision and node point repositioning ($rh$ adaptation).
By combining these two methods using the notion of a mobility function, the proposed
approach seeks to increase the flexibility and extensibility of mesh motion algorithms
while providing a somewhat smoother transition between refined regions than is produced by element subdivision alone. Further, in an attempt to support the requirements
of a very general class of climate simulation applications, the proposed method is designed to accommodate unstructured, polygonal mesh topologies in addition to the most
popular mesh types.</p>