HP-Adaptive Finite Element Simulations of Viscous Flow Including Convective Heat Transfer

Authors

Xiuling Wang, University of Nevada, Las VegasFollow
Darrell Pepper, University of Nevada, Las VegasFollow

Document Type

Article

Publication Date

2007

Publication Title

Numerical Heat Transfer, Part B: Fundamentals

Volume

51

Issue

6

First page number:

491

Last page number:

513

Abstract

An hp-adaptive finite element model based on mesh refinement and increasing spectral order is used to solve for viscous flow problems including natural and forced convection. The adaptive FEM produces highly accurate numerical results. An a-posteriori error estimator based on the L-2 norm is employed to guide the adaptive procedure. Example problems include lid-driven cavity viscous flow, natural convection in a differentially heated square enclosure and forced convection over a backward facing step. Results compared with data reported in the literature show excellent agreement.

Keywords

Heat – Convection; Natural; Heat – Transmission; Mechanics; Thermodynamics; Viscous flow

Disciplines

Acoustics, Dynamics, and Controls | Applied Mechanics | Heat Transfer, Combustion | Mechanical Engineering | Thermodynamics

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Repository Citation

Wang, X., Pepper, D. (2007). HP-Adaptive Finite Element Simulations of Viscous Flow Including Convective Heat Transfer. Numerical Heat Transfer, Part B: Fundamentals, 51(6), 491-513.