• Title/Summary/Keyword: segregated finite element method

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Combined Streamline Upwind Petrov Galerkin Method and Segregated Finite Element Algorithm for Conjugate Heat Transfer Problems

  • Malatip Atipong;Wansophark Niphon;Dechaumphai Pramote
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1741-1752
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    • 2006
  • A combined Streamline Upwind Petrov-Galerkin method (SUPG) and segregated finite element algorithm for solving conjugate heat transfer problems where heat conduction in a solid is coupled with heat convection in viscous fluid flow is presented. The Streamline Upwind Petrov-Galerkin method is used for the analysis of viscous thermal flow in the fluid region, while 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 presented method is to consistently couple heat transfer along the fluid-solid interface. Four test cases, which are the conjugate Couette flow problem in parallel plate channel, the counter-flow in heat exchanger, the conjugate natural convection in a square cavity with a conducting wall, and the conjugate natural convection and conduction from heated cylinder in square cavity, are selected to evaluate efficiency of the presented method.

Analysis of Three Dimensional Mold-Filling Process in Injection Molding (사출성형의 3차원 충전공정 해석)

  • Choi K. I.;Koo B. H.;Cha B. S.;Park H. P.;Rhee B. O.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.10a
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    • pp.269-272
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    • 2005
  • For the three decades, the mold-filling of injection molding process was modeled as Hele-Shaw model. However, this model can not consider the 3D effect. In this paper, numerical simulations of three dimensional mold-filling during the filling phase were performed. The governing equations were discretized by segregated finite element method, which used equal order interpolation for pressure and velocity fields. The iterative linear equation solver (JCG, SOR) was employed for the solution of the momentum and pressure equations. Volume of Fluid (VOF) was employed for the melt front advancement. To check the validity of the numerical results, the results were compared with the experimental ones. The agreements between the experiment and the numerical results were found to be satisfactory.

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Kinetic energy conservative algorithm in moving grid system using segregated finite element formulation (이동격자계에서 분리유한요소법에 의한 운동에너지 보존 알고리듬)

  • Seong, Jae-Yong;Choe, Hyeong-Gwon;Yoo, Jung-Yul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.11
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    • pp.1538-1551
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    • 1997
  • Kinetic energy conservation for fixed and moving grids is examined in time-accurate finite element computation of fully unsteady inviscid flows. As numerical algorithms, fractional step method (FSM) and modified SIMPLE are used. To simulate the flow in moving grid system, arbitrary Lagrangian-Eulerian (ALE) method is adopted. In the present study, the energy conserving time integration rule for finite element algorithm is proposed and discussed schematically. It is shown that the discretization by Crank-Nicolson in time and Galerkin (central difference) in space must be used to ensure energy conservation. The developed code has been tested for a standing vortex in fixed or moving grid system, sloshing in a tank and propagation of a solitary wave, and has been shown to be a completely energy conserving algorithm.

The application of BEM in the Membrane structures interaction with simplified wind

  • Xu, Wen;Ye, Jihong;Shan, Jian
    • Structural Engineering and Mechanics
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    • v.31 no.3
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    • pp.349-365
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    • 2009
  • Membrane structures are quite sensitive to wind and therefore the fluid-solid interaction can not be neglected in dynamic analysis. A boundary element method (BEM) for 3D simulation of wind-structure interaction in tensile membrane structures is presented in this paper. The flow is treated as incompressible and potential. The flow field is solved with boundary element method codes and structural simulation is performed by finite element method software ANSYS. The nonlinear equations system is solved iteratively, with segregated treatment of the fluid and structure equations. Furthermore this method has been demonstrated to be effective by typical examples. Besides, the influence of several parameters on the wind-structure interaction, such as rise-span ratio, prestress and the wind velocity are investigated according to this method. The results provide experience in wind resistant researches and engineering.

Streamline-Upwind Numerical Simulation of Two-Dimensional Confined Impinging Slot Jets (2차원 Confined 충돌 슬롯제트의 유선상류도식을 이용한 수치 해석)

  • Park, Tae-Hyun;Choi, Hyoung-Gwon;Yoo, Jung-Yul;Kim, Sang-Joon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.12
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    • pp.1663-1673
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    • 2002
  • In the present paper, flow and heat transfer characteristics of confined impinging slot jets have been numerically investigated using a SIMPLE-based segregated SUPG finite element method. For laminar jets, it is shown that the skin friction coefficient obtained from the present SUPG formulation approaches the grid-independent Galerkin solution inducing negligible false diffusion in the flow field when a moderate number of grid points are used. For turbulent jets, the k-$\omega$turbulence model is adopted. The streamwise mean velocity and the heat transfer coefficient respectively agree very well with existing experimental data within limited ranges of parameters.

Segregated finite element method by introducing a improved open boundary condition (개선된 개방경계조건을 도입한 분리유한요소법)

  • Oh, Seung-Hun;Min, Tae-Gee;Yoo, Jung-Yul
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.698-703
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    • 2000
  • In a computational fluid dynamics, the imposition of open boundary condition has an important part of the accuracy but it is not easy to find the optimal boundary rendition. This difficult is introduced by making artificial boundary in unbounded domairs. Such open boundary requires us to ensure the continuity of all primitive variables because the nature is in continuum. Here we introduce a revised well-conditioned open boundary condition particularly in FEM and apply it to various problems-entrainment, body force, short domains.

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