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By Kang M., Fedkiw R. P., Liu X.

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4. , and Fadda, D. (1997). The surface marker and micro cell method. Int. J. Num. Methods in Fluids 25, 749 778. 5. Chorin, A. J. (1968). Numerical solution of the Navier Stokes equations. Math. Comp. 22, 745 762. 360 Kang, Fedkiw, and Liu 6. , and Osher, S. (1999). A non-oscillatory Eulerian approach to interfaces in multimaterial flows (The Ghost Fluid Method). J. Comput. Phys. 152, 457 492. 7. -D. (1998). The Ghost Fluid Method for viscous flows. In Hafez, M. ), Progress in Numerical Solutions of Partial Differential Equations, Arachon, France.

Time:12:58 LOP8M. B. Page 01:01 Codes: 437 Signs: 70 . 3. Example 3 Figures 3, 4, 7 and 8 might require some further explanation for the novice reader unfamiliar with the behavior of numerical methods on unstable problems. Note that Fig. 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.

Length: 44 pic 2 pts, 186 mm 354 Kang, Fedkiw, and Liu We emphasize that the higher degree of instability demonstrated by the GFM is due to the more accurate interface representation and not due to nonphysical parasitic flows. 01 m centered in the middle of the domain. Here we set gravity to zero in order to demonstrate the ability of our scheme to accurately compute sharp pressure jumps across the interface using the numerical algorithm in [11]. 05 seconds on a 40_40 mesh. These two solutions lie directly on top of each other.

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A Boundary Condition Capturing Method for Multiphase Incompressible Flow by Kang M., Fedkiw R. P., Liu X.


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