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

Authors

Xiuling Wang, Nevada Center for Advanced Computational Methods
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

File Format

pdf

File Size

408 kb

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://oasis.library.unlv.edu/me_fac_articles/514