A Second-Order Adaptive Sharp-Interface Method for Incompressible Multiphase Flow

The present method combines the advantages of the Cartesian-grid approach, second-order coupled level set and volume-of-fluid approach, and the dynamic adaptive mesh refinement(AMR) procedure to treat complex three-dimensional problems with sharp interfaces. Its accuracy and robustness are demonstrated by its application to bubble dynamics, ship hydrodynamics, and “water crown” computation. It is shown to capture or preserve sharp slip-lines, phase boundaries remarkably well.

[1]  R. Fedkiw,et al.  A boundary condition capturing method for incompressible flame discontinuities , 2001 .

[2]  Phillip Colella,et al.  A second-order projection method for viscous, incompressible flow , 1987 .

[3]  Mark Sussman,et al.  A parallelized, adaptive algorithm for multiphase flows in general geometries , 2005 .

[4]  M. Sussman,et al.  A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows , 2000 .

[5]  M. Sussman.  A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles , 2003 .

[6]  Wei Shyy,et al.  A fixed-grid, sharp-interface method for bubble dynamics and phase change , 2001 .

[7]  S. Osher,et al.  A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows , 1996 .

[8]  Martin E. Weber,et al.  Bubbles in viscous liquids: shapes, wakes and velocities , 1981, Journal of Fluid Mechanics.

[9]  Peter Smereka,et al.  Axisymmetric free boundary problems , 1997, Journal of Fluid Mechanics.

[10]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[11]  G. Tryggvason,et al.  A front-tracking method for viscous, incompressible, multi-fluid flows , 1992 .

[12]  Brian T. Helenbrook,et al.  A Numerical Method for Solving Incompressible Flow Problems with a Surface of Discontinuity , 1999 .

[13]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .