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유동방향 국소격자를 이용한 비격자법의 대류항에 관한 수치도식

Meshless Advection using Flow Directional Local Grid

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주제분류조선공학

초록

In this paper an accurate and stable gridless method that can be applied to multi-dimensional convection problems is developed on a flow directional local grid. A two dimensional pure convection problem is calculated and more accurate and stable solution is obtained compared with other schemes in grid method. The tested numerical schemes include 1st-order upwind scheme, 2nd-order Leith scheme, 3rd-order MUSCL, and QUICK scheme. It is seen that more accurate results are expected when the schemes combined with a MMT control limiter.

Abstract

In this paper an accurate and stable gridless method that can be applied to multi-dimensional convection problems is developed on a flow directional local grid. A two dimensional pure convection problem is calculated and more accurate and stable solution is obtained compared with other schemes in grid method. The tested numerical schemes include 1st-order upwind scheme, 2nd-order Leith scheme, 3rd-order MUSCL, and QUICK scheme. It is seen that more accurate results are expected when the schemes combined with a MMT control limiter.

참고문헌 (9)

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  4. Lax, P.D., "Systems of Conservation laws", Comm. Pure Appl. Math, 13, pp.217~237 (1960)
  5. Leonard, B.P., "A stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation", Comput. Meths. Appl. Mech. Eng, 19, pp.59~89 (1979)
  6. Monaghan, J.J., "An Introduction to SPH", Comput. Phys. Commun, 48, pp.89~ (1983)
  7. 박종천, "자유표면 유동 시뮬레이션을 위한 고정확도 수치도식의 검토", 한국해양공학회지, 20(4), pp.31~36 (2006), 한국해양공학회
  8. Yoon, H.Y., "A particle-gridless hybrid method for incompressible flows", Int. J. Numer. Meth. Fluids, 30, pp.24~35 (1999)
  9. Van Leer, B., "Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method", J. Comp. Pys, 32, pp.101~136 (1979)

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