본문 바로가기
KERD
논문

이상 유동에서의 유체-구조 연성해석을 위한 Direct Forcing/Ficititious Domain-Level Set Method

Direct forcing/fictitious domain-Level set method for two-phase flow-structure interaction

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류해양공학

초록

In the present paper, a direct forcing/fictitious domain (DF/FD) level set method is proposed to simulate the FSI (fluid-solid interaction) in two-phase flow. The main idea is to combine the direct-forcing/fictitious domain (DF/FD) method with the level set method in the Cartesian coordinates. The DF/FD method is a non-Lagrange-multiplier version of a distributed Lagrange multiplier/fictitious domain (DLM/FD)method. This method does not sacrifice the accuracy and robustness by employing a discrete δ (Dirac delta) function to transfer quantities between the Eulerian nodes and Lagrangian points explicitly as the immersed boundary method. The advantages of this approach are the simple concept,easy implementation, and utilization of the original governing equation without modification. Simulations of various water-entry problems have been conducted to validate the capability and accuracy of the present method in solving the FSI in two-phase flow. Consequently, the present results are found to be in good agreement with those of previous studies.

Abstract

In the present paper, a direct forcing/fictitious domain (DF/FD) level set method is proposed to simulate the FSI (fluid-solid interaction) in two-phase flow. The main idea is to combine the direct-forcing/fictitious domain (DF/FD) method with the level set method in the Cartesian coordinates. The DF/FD method is a non-Lagrange-multiplier version of a distributed Lagrange multiplier/fictitious domain (DLM/FD)method. This method does not sacrifice the accuracy and robustness by employing a discrete δ (Dirac delta) function to transfer quantities between the Eulerian nodes and Lagrangian points explicitly as the immersed boundary method. The advantages of this approach are the simple concept,easy implementation, and utilization of the original governing equation without modification. Simulations of various water-entry problems have been conducted to validate the capability and accuracy of the present method in solving the FSI in two-phase flow. Consequently, the present results are found to be in good agreement with those of previous studies.

참고문헌 (24)

  1. Azcueta, R, "Computation of Turbulent Free-surface Flows around Ships and Floating bodies", Ph D, pp.2001
  2. Chuang, S.L, "Experiments on Slamming of Wedgeshaped Bodies", Journal of Ship Research, 11(3) (1967)
  3. Chung, J.Y, "A Novel Experimental Technique in Slamming", pp.41~44 (2007), Proceedings of the 22nd International Workshop on Water Waves and Floating Bodies
  4. Glowinski, R, "A Fictitious Domain approach to the Direct Numerical Simulation of Incompressible Viscous Flow past Moving Rigid Bodies: Application to Particulate Flow", J. Comp. Phys, 169, pp.363~426 (2001)
  5. Hirt, C.W, "Volume of Fluid (VOF) Methods for the Dynamics of Free Boundaries", Journal of Computational Physics, 39, pp.201~225 (1981)
  6. Höfler, K, "Navier–Stokes Simulation with Constraint Forces: Finite-Difference Method for Particleladen Flows and Complex Geometries", Phys. Rev, 61(6), pp.7146~7160 (2001)
  7. Kim, J, "Application of a Fractional Step Method to Incompressible Navier-Stokes Equations", J. Comp. Physics, 59, pp.308~323 (1985)
  8. Kang, M, "A Boundary Condition Capturing Method for Multiphase Uncompressible Flow", Journal of Scientic Computing, 15, pp.323~360 (2000)
  9. Lee, B.H, "Numerical Simulation of Impact Loads using a Particle Method", Ocean Engineering, 37, pp.164~173 (2010)
  10. Liu, X.D, "A Boundary Condition Capturing Method for Poisson’s Equation on Irregular Domains", J. Comp. Phys, 160, pp.151~178 (2000)
  11. Noh, W.F, "SLIC(Simple Line Interface Calculation), In Lecture Notes in Physics, Vol 59", pp.330~340 (1976), Springer-Verlag
  12. Osher, S, "Fronts Propagating with Curvature-Dependent Speed : Algorithms based on Hamilton- Jacobi Formulations", J. Comp. Phys, 79, pp.12~49 (1988)
  13. Osher, S, "Level Set Method and Dynamic Implicit Surfaces" (2002), Springer
  14. Peskin,C.S, "Flow Patterns around Heart Valves: a Numerical Method", J. Comput. Phys, 10, pp.252~271 (1972)
  15. Drop Tests to Support Water-Impact and Planing Boat Dynamics Theory, "Peterson, R", Coastal Systems Station, Panama City, USA, ~, pp.TR-9 (1997)
  16. Roma, A, "An Adaptive Version of the immersed Boundary Method", J. Comput. Phys, 153, pp.509~534 (1999)
  17. Shu, C, "Efficient Implementation of essentially Non Oscillatory Shock Capturing Schemes II", J. Comput. Phys, 83, pp.32~78 (1989)
  18. Sussman, M, "A Level Set Approach for Computing Solutions to Incompressible Two-phase Flow", J. Comp. Phys, 114, pp.146~159 (1994)
  19. Sussman, M, "An Improved Level Set Method for Incompressible Two- Phase Flows", Computers and Fluids, 27, pp.663~680 (1997)
  20. Uhlmann, M, "An immersed Boundary Method with Direct Forcing for the Simulation of Particulate Flows", J. Comp. Phys, 209, pp.448~476 (2005)
  21. Youngs, D.L, "Time-dependent Multi-material ow with Large uid Distortion, In Numerical Methods for Fluid Dynamics", pp.273~285 (1982), Academic: New York
  22. Yu, Z, "A Direct-forcing Fictitious Domain Method for Particulate Flows", J. Comput. Phys, 227, pp.292~314 (2007)
  23. Yue, W, "Numerical Simulation of Unsteady Multidimensional Free Surface Motions by Level Set Method", Int. J. Numer. Meth. Fluids, 42, pp.853~884 (2003)
  24. Xu, L, "Asymmetric Hydrodynamic Impact and Dynamic Response of Vessels", J. Offshore Mechanics and Arctic Engineering, 121, pp.83~89 (1999)

관련 논문AI추천

이 간행물의 다른 논문 (11건)