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A numerical study on level set based multiphase flow simulation

이병준 2015년
논문상세정보
' A numerical study on level set based multiphase flow simulation' 의 주제별 논문영향력
논문영향력 선정 방법
논문영향력 요약
주제
  • incompressible navier-stokes equations
  • level set method
  • multiphase flow
동일주제 총논문수 논문피인용 총횟수 주제별 논문영향력의 평균
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' A numerical study on level set based multiphase flow simulation' 의 참고문헌

  • S.O. Unverdi, G. Tryggvason, A front-tracking method for viscous, in- compressible, multi- uid ows J. Comput. Phys. 100, 25 (1992).
  • S. Osher, and Shu, C.W. High-order essentially non-oscillatory schemes for Hamilton-Jacobi equation, SINUM. 28, 907 922 (1991).
  • S. Osher, Ronald Fedikew Level Set Methods and Dynamic Implicit Sur- faces, Springers, 2003
  • S. Osher, J. A. Setian, Fronts Propagating with Curvature Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations, J. Comput. Phys. 79, 12 49 (1988).
  • Russo, G., Semereka, P. A Remark on Computing Distance Functions J. Comput. Phys. 163, 51-67 (2000).
  • Roger Peyret, Thomas D. Taylor, Computational Methods for Fluid Flow, Springer-Verlag, 1982
  • Randall J. LeVeque, Zhilin Li. The Immersed Interface Method for El- liptic Equations with Discontinuous Coecients and Singular Sources, SIAM J. Num. Anal. 31(4), 1019 1044(1994)
  • Randall J. LeVeque, Numerical Methods for Conservation Laws, vol2, Birkhauser Verlag, 1992
  • Randall J. LeVeque, Finite Diernce Methods for Ordinary and Partial Dierential Equations, Siam, 2007
  • Ooms, G., Pourquie, M.J.B.M., Beerens, J.C. On the levitation force in horizontal core-annular ow with a large viscosity ratio and small density ratio Phys. Fluids 25, 032102 (2013).
  • Mark Sussman, Peter Smereka, S. Osher, A Level Set Approach for Com- puting Solutions to Incompressible Two-Phase Flow, J. Comput. Phys. 114), 146 159 (1994).
  • Lluyd N. Trefethen, David Bau, Numerical Linear Algebra,Siam, 1992
  • Liu, X.D., Fedkiw, R.P., Kang, M. A boundary condition capturing method for Poisson's equation on irregular domains, J. Comput. Phys. 160, 151 178 (2000).
  • Li, J., Renardy, Y.Y., Renardy, M. Direct simulation of unsteady ax- isymmetric core-annular ow with high viscosity ratio, J. Fluid. Mech. 391, 123-149 (1998).
  • Li, J., Renardy, Y.Y., Renardy, M. A numerical study of periodic dis- turbances on two-layer Couette ow, Phys. Fluids. 10(12), 3056 3071 (1998).
  • Lawrence C. Evans, Partial Dierential Equations, American Mathemat- ical Society, 1997
  • L.D.Landau, E.M.Lifshitz, Fluid Mechanics, second edition, Pergamon Press, 1987
  • Kang, M., Shim, H., Osher, S. Level set based simulations of two-phase oil-water ows in pipes, J. Sci. Comput. 31, 153 (2006).
  • Kang, M., Fedkiw, R.P., Liu, X.D. A boundary condition capturing method for multiphase incompressible ow, J. Sci. Comput. 15, 323 360 (2000).
  • Joseph, D.D., Renardy, Y.Y. Fundamentals of Two-Fluid Dynamics, Part II, Lubricated Transport, Drops and Miscible Liquids, Springer- Verlag, New York (1993).
  • Jiang, G.S., Peng, D. Weighted ENO schemes for Hamilton-Jacobi equa- tions, SIAM J. Sci. Comput. 21, 2126 2143 (2000).
  • JR Shewchuk, An introduction to the conjugate gradient method without the agonizing pain, unucauca.edu.co. (1994)
  • J.W. Purvis, J.E. Burkhalter. Prediction of critical mach number for store congurations AIAA J. 17, 1170-1177 (1979).
  • G.R. Baker, D.W. Moore, The rise and distortion of a two-dimensional gas bubble in an inviscid liquid, Phys. Fluid A 1, (1989).
  • G. Sotgia, P. Tartarini, and E. Stalio. Experimental analysis of ow regimes and pressure drop reduction in oil-water mixtures Int. J. Multi- phase Flow 34, 1161 (2008).
  • Eleuterio F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamiacs, third edition, Springer, 2009
  • D.Xiu., G.E.Karniadakis. A semi-Lagrangian high-order method for Navier-Stokes equations, J. Comput. Phys. 172(2), 658 684(2001).
  • Chorin, A.J. Numerical solution of the Navier-Stokes equations, Math. Comp. 22, 745 (1968).
  • C.W. Shu, S. Osher, Ecient Implementation of essentially non- oscillatory shock capturing schemes J. Comput. Phys. 83,32 ,(1988).
  • C.W. Hirt, B.D. Nichols, Volume of uid method for the dynamics of free boundaries, J. Comput. Phys. 39,201, (1981).
  • C.R Anderson, A vortex method for ows with slight density variations, J. Comput. Phys. 61, 3 (1985).
  • Brackbill, J.U., Kothe, D.B., Zemach, C. A continuum method for mod- eling surface tension, J. Comput. Phys. 100, 335-354 (1992).