A review on the applications of finite element method to heat transfer and fluid flow
Authors
Citation
International journal on architectural science, v.3, no.1, 2002, pp. 1-19
Abstract
Practical engineering problems in heat transfer and fluid flow involve one or more governing equations, together with some boundary conditions over a domain. The domain is often complex and non-uniform. The ability to use a mesh of finite elements to accurately discretise domain of any size and shape makes the finite element method a powerful tool to numerically analyse problems in these areas. This paper reviews the applications of finite element approaches in heat transfer and fluid flow, and highlights some recent advances in this method. These include improvements in methodology and mesh adaptivity, as well as techniques to improve the efficiency and estimate the error bounds. Some aspects closely related to the finite volume method have also been investigated.
(1) Introduction
(2) Historical background
(3) Finite element method
(4) Trends and problems in finite element methods
(5) Applications of finite element method in engineering
(6) Applications to heat transfer and fluid flow
(7) Research by Chung at the University of Alabama at Huntsville, USA
(8) Research by Feistauer at Charles University, Prague, The Czech Republic
(9) Research by Bettess at the University of Durham, UK
(a) Wave envelopes to model progressive short wave with time independent potential satisfying the Helmholtz equation
(b) Two-dimensional wave envelope infinite element
(10) Research by Minkowycz at the University of Illinois at Chicago, USA
(a) Spatially periodic flows in Irregular domains
(b) Sparrow-Galerkin approach to radiation exchange between surfaces
(11) Research by Vanka at the University of Illinois at Urbana-Champaign, USA
(a) CVFEM and Multigrid method for internal flows and heat transfer
(12) Research by Bathe at Massachusetts Institutes of Technology, USA
(a) Acoustic fluid-structure interaction problems
(b) Fluid flows coupled with structural interactions
(c) Finite element program package ADINA-F
(13) Research by Idelsohn at the Universtidad Nacional Del Litoral, Argentina
(a) Petrov-Galerkin formulation for advection-reaction-diffusion problems
(14) Research by Baines at the University of Reading, UK
(a) Adaptive grid method
(15) Research by Hughes at Stanford University, USA
(a) A priori and a posteriori error estimates for general linear elliptic operators
(b) Stabilised FEM
(16) Research by Baker at the University of Tennessee, Knoxville, USA
(a) CFD study of airflow in a mixing box
(b) Taylor weak statement CFD algorithms for Convection-dominated flows
(17) Research by Reddy at Texas A&M University, USA
(a) Multigrid methods for viscous incompressible flows
(18) Research by Babuska at the University of Texas at Austin, USA
(a) A Posteriori error estimators and adaptive procedures for the h-version
(b) Superconvergence
(c) p- and hp-versions FEM for elliptic equations (solids) and hyperbolic equations (fluids)
(19) Research by Zienkiewicz at the University of Wales, Swansea, UK
(a) Preconditioning and Galerkin Multigrid Method (GMG)
(b) Object-oriented source codes
(20) Conclusions
(21) Acknowledgement
(22) References
Description
Notes: Heating
Subject
Type
Article
Format
Date
2002
Language
en