Combined adaptive meshing technique and segregated finite element algorithm for analysis of free and forced convection heat transfer

Wansophark, Niphon; Dechaumphai, Pramote

doi:10.1016/s0168-874x(03)00101-x

Cited by 13 publications

(7 citation statements)

References 13 publications

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“…However, a special treatment of the convection terms is incorporated. These terms are approximated by a monotone streamline upwind formulation for application with triangular elements [9]. In this approach, the convection terms of the form…”

Section: Discretization Of the Momentum Equationsmentioning

confidence: 99%

“…The method uses triangular elements with equal-order interpolation functions for the velocity components, the pressure and the temperature. A segregated solution algorithm [8][9][10] is also incorporated to solve the unknown variables separately for improving the computational efficiency. The main advantages of the proposed scheme can be illustrated and explained by Figs.1-2.…”

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confidence: 99%

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Streamline upwind finite element method for conjugate heat transfer problems

2005

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This paper presents a combined finite element method for solving conjugate heat transfer problems where heat conduction in a solid is coupled with heat convection in viscous fluid flow. The streamline upwind finite element method is used for the analysis of thermal viscous flow in the fluid region, whereas the analysis of heat conduction in solid region is performed by the Galerkin method. The method uses the three-node triangular element with equal-order interpolation functions for all the variables of the velocity components, the pressure and the temperature. The main advantage of the proposed method is to consistently couple heat transfer along the fluid-solid interface. Three test cases, i.e. conjugate Couette flow problem in parallel plate channel, counter-flow in heat exchanger, and conjugate natural convection in a square cavity with a conducting wall, are selected to evaluate the efficiency of the present method.

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Section: Discretization Of the Momentum Equationsmentioning

confidence: 99%

mentioning

confidence: 99%

Streamline upwind finite element method for conjugate heat transfer problems

2005

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“…Another main reason which increases the difficulty in solving the convection heat transfer problems is due to the nonlinear phenomenon of the convection terms presented in both the momentum equations and the energy equation. Some algorithms have been proposed and applied to analyze these problems, such as the velocitypressure segregated method [1][2][3] based on the SIMPLE algorithm and the unsteady algorithm based on the fractional step method [4][5][6][7]. These two algorithms are similar in that they correct the computed velocity components by using the pressure derived from the continuity equation.…”

Section: Introductionmentioning

confidence: 99%

A second-order time-accurate finite element method for analysis of conjugate heat transfer between solid and unsteady viscous flow

2009

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A fractional four-step finite element method for analyzing conjugate heat transfer between solid and unsteady viscous flow is presented. The second-order semi-implicit Crank-Nicolson scheme is used for time integration and the resulting nonlinear equations are linearized without losing the overall time accuracy. The streamline upwind PetrovGalerkin method (SUPG) is applied for the weighted formulation of the Navier-Stokes equations. The method uses a three-node triangular element with equal-order interpolation functions for all the variables of the velocity components, the pressure and the temperature. The main advantage of the method presented is to consistently couple heat transfer along the fluid-solid interface. Five test cases, which are the lid-driven cavity flow, natural convection in a square cavity, transient flow over a heated circular cylinder, forced convection cooling across rectangular blocks, and conjugate natural convection in a square cavity with a conducting wall, are selected to evaluate the efficiency of the method presented.

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“…The method was further developed for the 8-node quadratic element by Hill and Baskharone [4] . Wansophark and Dechaumphai [5] developed the streamline upwind finite element method using the 3-node triangular element for thermal viscous incompressible flow analysis. Calculations presented in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…Calculations presented in Refs. [3][4][5] have shown that the streamline upwind finite element method is monotonic and introduces artificial numerical diffusion. The effect of numerical diffusion is to smear the solution in areas of high flow field gradients, which hence decreases the solution accuracy.…”

Section: Introductionmentioning

confidence: 99%

Streamline upwind finite element method using 6-node triangular element with adaptive remeshing technique for convective-diffusion problems

Wansophark

Dechaumphai

2008

Appl. Math. Mech.-Engl. Ed.

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A streamline upwind finite element method using 6-node triangular element is presented. The method is applied to the convection term of the governing transport equation directly along local streamlines. Several convective-diffusion examples are used to evaluate 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 accuracy of the solution, and at the same time, to minimize computational time and computer memory requirement.

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Combined adaptive meshing technique and segregated finite element algorithm for analysis of free and forced convection heat transfer

Cited by 13 publications

References 13 publications

Streamline upwind finite element method for conjugate heat transfer problems

Streamline upwind finite element method for conjugate heat transfer problems

A second-order time-accurate finite element method for analysis of conjugate heat transfer between solid and unsteady viscous flow

Streamline upwind finite element method using 6-node triangular element with adaptive remeshing technique for convective-diffusion problems

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