By Kang M., Fedkiw R. P., Liu X.
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Additional info for A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Comput. Phys. 115, 147 152. 19. Unverdi, S. , and Tryggvason, G. (1992). A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100, 25 37.
And Osher, S. (1994). A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114, 146 154. 18. Tau, E. Y. (1994). A second order projection method for the incompressible Navier Stokes equations in arbitrary domains. J. Comput. Phys. 115, 147 152. 19. Unverdi, S. , and Tryggvason, G. (1992). A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100, 25 37.
4 contains a higher degree of instability than Fig. 3 and that Fig. 8 contains a higher degree of instability than Fig. 7 indicating that the GFM contains a higher degree of instability than the delta function method. The standard explanation of this behavior can be traced to the artificial numerical dissipation inherent in the numerical method. Since the delta function smears out the interface, it incorrectly damps out physical flow features producing a more stable result on the unstable problems.