A Spectral
Element Method with hp Mesh Adaptation
Abstract:
The
high order Spectral Element Method (SEM) is used to solve the diffusion-convection
problems. Mesh adaptation allows SEM to accurately resolve the fine
scales while avoiding intensive computation wasted on overly refined areas. A
2-D anisotropic hp refinement and
coarsening scheme developed using a
posteriori error estimators, which provide the information used as criteria
for choosing h or p type refinement or coarsening. A
2-step approach is developed to extend the implementation of mortar element
methods to 3-D, and a 3-D h type
adaptation scheme is developed. The 2-D and 3-D adaptation schemes with nonconforming
SEM discretization are applied to premixed flame simulations
and heat transfer problems.