Streamline Upwind Finite Element Method Using 6-Node Triangular Element With Adaptive Remeshing Technique for Convective-Diffusion Problems

Niphon Wansophark; Pramote Dechaumphai

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(11): 1303-1313

Niphon Wansophark, Pramote Dechaumphai. Streamline Upwind Finite Element Method Using 6-Node Triangular Element With Adaptive Remeshing Technique for Convective-Diffusion Problems[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1303-1313.

Citation:

PDF( 1312 KB)

Streamline Upwind Finite Element Method Using 6-Node Triangular Element With Adaptive Remeshing Technique for Convective-Diffusion Problems

Mechanical Engineering Department, Chulalongkorn University, Patumwan, Bangkok 10330, Thailand

Received Date: 2008-05-14
Rev Recd Date: 2008-07-15
Publish Date: 2008-11-15

Abstract

Abstract

A streamline upwind finite element method using the 6-node triangular element is presented. The method was applied to the convection term of the governing transport equation directly along local streamlines. Several convective-diffusion examples were used to evaluate the efficiency of the method. Results show that the method is monotonic and does not produce any oscillation. In addition, an adaptive meshing technique is combined with the method to further increase the solution accuracy, and at the same time, to minimize the computational time and computer memory requirement.
- streamline upwind,
- finite element method,
- convective-diffusion problem

FullText(HTML)

References(12)

References

[1]	Patankar S V.Numerical Heat Transfer and Fluid Flow[M].Washington D C:Hemisphere,1890.
[2]	Brooks A N, Hughes T J R. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations[J].Comput Methods Appl Mech Eng,1982,32(1/3):199-259. doi: 10.1016/0045-7825(82)90071-8
[3]	Rice J G, Schnipke R J.A monotone streamline upwind finite element method for convection-dominated flows[J].Comput Methods Appl Mech Eng,1985,48(3):313-327. doi: 10.1016/S0045-7825(85)80005-0
[4]	Hill D L, Baskharone E A.A monotone streamline upwind method for quadratic finite elements[J].International Journal for Numerical Methods in Fluid,1993,17(6):463-475. doi: 10.1002/fld.1650170603
[5]	Wansophark N, Dechaumphai P. Combined adaptive meshing technique and segregated finite element algorithm for analysis of free and forced convection heat transfer[J].Finite Elements in Analysis and Design，2004，40(5/6): 645-663. doi: 10.1016/S0168-874X(03)00101-X
[6]	Zienkiewicz O C, Liu Y C, Huang G C.Error estimates and convergence rates for various incompressible elements[J].International Journal for Numerical Methods in Engineering，1989，28:2191-2202. doi: 10.1002/nme.1620280914
[7]	Dechaumphai P. Evaluation of an adaptive unstructured remeshing technique for integrated fluid-thermal-structural analysis[J].Journal of Thermophysics and Heat Transfer，1991，5(4):599-606. doi: 10.2514/3.305
[8]	Huebner H K, Thornton E A,Byrom T G.The Finite Element Method for Engineers[M].3rd Ed. New York：John Wiley & Sons, Inc,1995.
[9]	Limtrakarn W, Dechaumphai P. Adaptive finite element method for high-speed flow-structure interaction[J].Acta Mechanica Sinica,2004,20(6):597-606. doi: 10.1007/BF02485863
[10]	Fletcher C A J.Computational Techniques for Fluid Dynamics[M]. Berlin: Springer-Verlag,1988.
[11]	Brown G M. Heat or mass transfer in a fluid in laminar flow in a circular or flat conduit[J].AIChE Journal,1960,6:179-183. doi: 10.1002/aic.690060204
[12]	Smith R M, Hutton A G.The numerical treatment of advection: a performance comparison of current methods[J].Numerical Heat Transfer Part B,1982,5(4):439-461.