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비정렬 격자계에서 S.I.P. 최적화 방법을 이용한 점성유동 수치해석

Numerical Analysis of Viscous Flows on Unstructured Grids Using the Optimal Method of Strongly Implicit Procedure

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참고문헌

키워드

주제분류조선공학

초록

In this study, numerical analysis of viscous flows is carried out based on the unstructured grid. There exist some difficulties in expressing and computing numerical derivatives on the unstructured grid due to lack of the structured characteristics. The general computer algorithms are developed to perform numerical derivatives easily and extended to be applicable to various geometries composed of hybrid meshes. And the optimal method of strongly implicit procedure is newly contrived to accelerate the rate of convergence in solving the pressure Poisson equation. To verify numerical schemes, the driven cavity problems of 2 and 3 dimension are simulated. The numerical results are compared with others and our numerical schemes are shown to be valid.

Abstract

In this study, numerical analysis of viscous flows is carried out based on the unstructured grid. There exist some difficulties in expressing and computing numerical derivatives on the unstructured grid due to lack of the structured characteristics. The general computer algorithms are developed to perform numerical derivatives easily and extended to be applicable to various geometries composed of hybrid meshes. And the optimal method of strongly implicit procedure is newly contrived to accelerate the rate of convergence in solving the pressure Poisson equation. To verify numerical schemes, the driven cavity problems of 2 and 3 dimension are simulated. The numerical results are compared with others and our numerical schemes are shown to be valid.

참고문헌 (11)

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  2. Chan, W. M., "Overset Grid Technology Development at NASA Ames Research Center", Journal of Computers & Fluids, 38(3), pp.496~503 (2009)
  3. Darbandi, M., "Multiblock Hybrid Grid Finite Volume Method to Solve Flow in Irregular Geometries", Journal of Comput. Methods Appl. Mech. Engrg, 196(1), pp.321~336 (2006)
  4. Fletcher, C. A. J., "Computational Techniques for Fluid Dynamics", 198~ (1991)
  5. Jawahar, P., "A High-Resolution Procedure for Euler and Navier-Stokes Computations on Unstructured Grids", Journal of Computational Physics, 164(1), pp.165~203 (2000)
  6. Kim, M.C., "Simulation for the Propulsion of Micro-Hydro-Machine with Unstructured Grid", Journal of the Society of Naval Architects of Korea, 39(3), pp.1~7 (2002)
  7. Li, M. Tang, T., "A Compact Fourth-Order Finite Difference Scheme for the Steady Incompressible Navier-Stokes Equations", International Journal for Numerical Methods in Fluids, 20(10), pp.1137~1151 (1995)
  8. 박종천, "중첩 격자계를 이용한 물체운동의 수치 시뮬레이션", 대한조선학회 논문집, 40(5), pp.5~42 (2003), 대한조선학회
  9. 신상묵, "동압 계수의 불연속성을 이용한 내면파의 수치해석", 대한조선학회 논문집, 41(4), pp.17~29 (2004), 대한조선학회
  10. Stone, H. L., "Iterative Solution of Implicit Approximations of Multidimensional Partial Equations", SIAM J. Numer. Anal, 5, pp.530~558 (1968)
  11. Wu, J., "An improved immersed boundarylattice Boltzmann method for simulating three-dimensional incompressible flows", Journal of Computational Phys, 229(13), pp.5022~5042 (2010)

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