Application of an HP-Adaptive Finite Element Method for Thermal Flow Problems

Authors

Xiuling Wang, Nevada Center for Advanced Computational MethodsFollow
Darrell Pepper, University of Nevada, Las VegasFollow

Document Type

Conference Proceeding

Publication Date

1-9-2006

Publication Title

44th AIAA Aerospace Sciences Meeting 2006, American Institute of Aeronautics and Astronautics

Publisher

AIAA

Volume

10

First page number:

7064

Last page number:

7075

Abstract

Numerical results are presented for a set of convective thermal flow problems using an hp-adaptive finite element technique. The hp-adaptive model is based on mesh refinement and spectral order incensement to produce enhanced accuracy while attempting to minimize computational requirements. An a-posteriori error estimator based on the L₂ norm is employed to guide the adaptation procedure. Example test cases consisting of natural convection in a differentially heated enclosure, flow with forced convection heat transfer over a backward facing step and natural convection within an enclosed partition are presented. Numerical results are compared with published data in the literature.

Keywords

Heat – Convection; Mathematical models

Disciplines

Heat Transfer, Combustion | Mechanical Engineering

Language

English

Permissions

Copyright American Institute of Aeronautics and Astronautics. Used with permission.

Repository Citation

Wang, X., Pepper, D. (2006). Application of an HP-Adaptive Finite Element Method for Thermal Flow Problems. 44th AIAA Aerospace Sciences Meeting 2006, American Institute of Aeronautics and Astronautics, 10 7064-7075. AIAA.
https://digitalscholarship.unlv.edu/me_fac_articles/514