Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Development of 3-D Flow Analysis Code Using Unstructured Grid System (I) - Numerical Method -

비정렬격자계를 사용하는 3차원 유동해석코드 개발 (I) - 수치해석방법 -

  • 김종태 (한국원자력연구소) ;
  • 명현국 (국민대학교 기계자동차공학부)
  • Published : 2005.09.01
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Abstract

A conservative pressure-based finite-volume numerical method has been developed for computing flow and heat transfer by using an unstructured grid system. The method admits arbitrary convex polyhedra. Care is taken in the discretization and solution procedures to avoid formulations that are cell-shape-specific. A collocated variable arrangement formulation is developed, i.e. all dependent variables such as pressure and velocity are stored at cell centers. Gradients required for the evaluation of diffusion fluxes and for second-order-accurate convective operators are found by a novel second-order accurate spatial discretization. Momentum interpolation is used to prevent pressure checkerboarding and the SIMPLE algorithm is used for pressure-velocity coupling. The resulting set of coupled nonlinear algebraic equations is solved by employing a segregated approach, leading to a decoupled set of linear algebraic equations fer each dependent variable, with a sparse diagonally dominant coefficient matrix. These equations are solved by an iterative preconditioned conjugate gradient solver which retains the sparsity of the coefficient matrix, thus achieving a very efficient use of computer resources.

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References

  1. Demirdzic, I. and Muzaferija, S., 1995, 'Numerical Method for Coupled Fluid Flow, Heat Transfer and Stress Analysis Using Unstructured Moving Meshes with Cells of Arbitrary Topology,' Comput. Methods Appl. Mech. Engrg., Vol. 125, pp. 235-255 https://doi.org/10.1016/0045-7825(95)00800-G
  2. Jiang, Y. and Przekwas, A.J., 1994, 'Implicit, Pressure-Based Incompressible Navier-Stokes Equations Solver for Unstructured Meshes,' AIAA-94-0305
  3. Davison, L., 1996, 'A Pressure Correction Method for Unstructured Meshes with Arbitrary Control Volumes,' Int. J. Numer. Methods Fluids, Vol. 22, pp. 265-281 https://doi.org/10.1002/(SICI)1097-0363(19960229)22:4<265::AID-FLD359>3.0.CO;2-J
  4. Mathur, S.R. and Murthy, J.Y., 1997, 'A Pressure-Based Method for Unstructured Meshes,' Numerical Heat Transfer, Part. B, Vol. 31, pp. 195-215 https://doi.org/10.1080/10407799708915105
  5. Ferziger, J. H. and Peric, M., 1996, Computational Methods for Fluid Dynamics, Springer
  6. Muzaferija, S., 1994, 'Adaptive Finite Volume Method for Flow Predictions Using Unstructured Meshes and Multigrid Approach,' PhD Thesis, University of London
  7. Zwart, P.J., Raithby, G.D. and Raw, M.J., 1999, 'The Integrated Space-Time Finite Volume Method and its Application to Moving Boundary Problems,' J. Comp. Physics, Vol. 154, pp. 497-519 https://doi.org/10.1006/jcph.1999.6324
  8. Lien, F.S., 2000, 'A Pressure-Based Unstructured Grid Method for All-speed Flows,' Int. J. Numer. Meth. Fluids, Vol. 33, pp. 355-374 https://doi.org/10.1002/1097-0363(20000615)33:3<355::AID-FLD12>3.0.CO;2-X
  9. Myong, H. K., 2005, 'A New Numerical Approximation of Diffusion Flux in Unstructured Cell-Centered Methods,' Trans. of the KSME(B), submitted
  10. Rhie, C.M. and Chow, W.L., 1983, 'Numerical Study of the Turbulent Flow past an Airfoil with Trailing Edge Separation,' AIAA J., Vol. 21, pp. 1523-1532
  11. Miettien, A., 1997, 'A Study of the Pressure Correction Approach in the Collocated Grid Arrangement,' Ph.D. thesis, Helsinki Univ.of Technology
  12. Patankar, S.V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York
  13. Myong, H.K. and Kim, J.E., 2005, 'Numerical Simulation of 2-D Lid-Driven Cavity Flow at High Reynolds Numbers,' (in Korean) Proc. of KSCFE Spring Annual Conf., pp. 153-158

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