차분격자볼츠만법의 압축성 유체모델을 도입한 중력류의 흐름현상에 관한 연구

Study on Analysis of Gravity Currents by the Finite Difference Boltzmann Method using Two-dimensional Compressible fluid Model

  • 손유식 (경상대학교 수송기계공학부, 해양산업연구소) ;
  • 김원철 (경상대학교 수송기계공학부, 해양산업연구소) ;
  • 강호근 (경상대학교 수송기계공학부, 해양산업연구소)
  • 발행 : 2002.10.01

초록

In this research, the finite difference lattice Boltzmann method(FDLBM) is used to analyze gravity currents in the lock exchange configuration that occur in many natural and man-made situations. At a lock those are seen when a gate is suddenly opened, and, in the atmosphere, when the thunderstorm outflows make a cold front. At estuaries in the ocean, the phenomenon is found between fresh water from a river and salt water in the sea. Since such interesting phenomena were recognized, pioneers have challenged to make them clear by conducing both experiments and analysis. Most of them were about the currents of liquid or Boussinesq fluids, which are assumed as incompressible. Otherwise, the difference in density of two fluids is small. The finite difference lattice Boltzmann method has been a powerful tool to simulate the flow of compressible fluids. Also, numerical predictions using FDLBM to clarify the gravity currents of compressible fluids exhibit all features, but typically observed in experimental flows near the gravity current head, including the lobe-and-cleft structure at the leading edge.

키워드

참고문헌

  1. Phys. Rev. E v.47 Lattice Boltzmann Thermo-hydrodynamic Alexander, F.J.;Chen, S.;Sterling, J.D. https://doi.org/10.1103/PhysRevE.47.R2249
  2. J. Fluid Mech. v.31 Gravity Currents and Related Phenomena Benjamin, T.B. https://doi.org/10.1017/S0022112068000133
  3. J. Fluid Mech v.88 Experiments on the Dynamics of a Gravity Currents Head Britter, R.E.;Simpson, J.E. https://doi.org/10.1017/S0022112078002074
  4. Phys. Rev. E v.55 Physical Symmetry and Lattice Symmetry in the Lattice Boltzmann Method Cap, N.;Chen, S.;Jin, S.;Martinez, D. https://doi.org/10.1103/PhysRevE.55.R21
  5. Phys. Rev. E v.50 Thermal Lattice Bhatnagar-Gross-Krook Model without Nonlinear Deviations in Macrodynamic Equation Chen, Y.;Ohashi, H.;Akiyama, M. https://doi.org/10.1103/PhysRevB.50.2775
  6. J. Fluid Mech v.250 The Propagation of Intrusion Fronts of High Density Ratios Grobelbauer, H.P.;Fannelop, T.K.;Britter, R.E. https://doi.org/10.1017/S0022112093001612
  7. J. Fluid Mech. v.418 Analysis and Direct Numerical Simulation of the Flow at a Gravity Current Head. Part 1. Flow Topology and Front Speed for Slip and No-slip Boundaries Hartel, C.;Meiburg, E.;Necker, F. https://doi.org/10.1017/S0022112000001221
  8. Int. J. Mod. Phys. C v.8 no.4 A Thermal LBGK a Model for Large Density and Temperature Differences Huang, J,;Xu, F.;Vallieres, M.;Feng, D.H.;Qian, Y.H.;Fryxell, B.;Strayer, M.R. https://doi.org/10.1142/S0129183197000710
  9. J. Fluid Mech. v.99 The Slumping of Gravity Currents Huppert, H.E.;Simpson, J.E. https://doi.org/10.1017/S0022112080000894
  10. U.S. Natl. Bur. Stand. Rep. 5168 An Experimental Study of Saline Water from Locks into Fresh Water Channels Keulegan, G.H.
  11. Phys. Rev. :Lett v.61 Use of the Boltzmann Equation to Simulate Lattice Gas Automata McNamara, G.;Zanetti, G. https://doi.org/10.1103/PhysRevLett.61.2332
  12. JSME, B v.65 no.634 Lattice Boltzmann Scheme for Simulating Two-Phase Flows Seta, T.;Kono, K.;Martinez, D.;Chen, S. https://doi.org/10.1299/kikaib.65.1955
  13. Gravity Currents: in the Environment and the Laboratory Simpson, J.E.
  14. J. Fluid Mech. v.94 The Dynamics of Head of a Gravity Current Advancing over a Horizontal Surface Simpson, J.E.;Britter, R.E. https://doi.org/10.1017/S0022112079001142
  15. J. Sta. Phys v.107 no.112 A Discrete Effect of the Thermal Lattice BGK Model Tsutahara, M.;Kang, H.K. https://doi.org/10.1023/A:1014591527900
  16. Lecture Notes in Mathematics Lattice-Gas Cellular Automata and Lattice Boltzmann Models Wolf-Gladrow, D.A.