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

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Extra resources for A Boundary Condition Capturing Method for Multiphase Incompressible Flow

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File: 854J 706030 . By:XX . Date:18:01:01 . 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. Since the delta function smears out the interface, it incorrectly damps out physical flow features producing a more stable result on the unstable problems. Fig. 9. Steady state air bubble Ghost Fluid Method. File: 854J 706031 . By:XX . Date:18:01:01 . Time:12:59 LOP8M. B. Page 01:01 Codes: 1224 Signs: 780 . 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.

Page 01:01 Codes: 1180 Signs: 694 . Length: 44 pic 2 pts, 186 mm Boundary Condition Capturing Method Fig. 13. Fig. 14. Large air bubble Ghost Fluid Method. Large water droplet Ghost Fluid Method. File: 854J 706035 . By:XX . Date:28:03:01 . Time:12:21 LOP8M. B. Page 01:01 Codes: 603 Signs: 129 . Length: 44 pic 2 pts, 186 mm 357 358 Fig. 15. Kang, Fedkiw, and Liu Water waves generated by the impact of an (invisible) solid object Method. Fig. 16. Filling a box with water Ghost Fluid Method. File: 854J 706036 .

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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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