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A level set approach for computing s...

Sussman, Mark.

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A level set approach for computing solutions to incompressible two-phase flow.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A level set approach for computing solutions to incompressible two-phase flow./
Author:	Sussman, Mark.
Description:	115 p.
Notes:	Source: Dissertation Abstracts International, Volume: 55-05, Section: B, page: 1875.
Contained By:	Dissertation Abstracts International55-05B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9427355

A level set approach for computing solutions to incompressible two-phase flow.
Sussman, Mark.

A level set approach for computing solutions to incompressible two-phase flow. - 115 p.

Source: Dissertation Abstracts International, Volume: 55-05, Section: B, page: 1875.

Thesis (Ph.D.)--University of California, Los Angeles, 1994.

A level set approach for computing solutions to incompressible two-phase flow is presented. The interface between the two fluids is considered to be sharp and is described as the zero level set of a smooth function. A new treatment of the level set method allows us to efficiently maintain the level set function as the signed distance from the interface. We never have to explicitly reconstruct or find the zero level set. Consequently, we are able to handle arbitrarily complex topologies, large density and viscosity ratios, and surface tension, on relatively coarse grids. We use a second order projection method along with a second order upwinded procedure for advecting the momentum and level set equations. We consider the motion of air bubbles and water drops. We also compute flows with multiple fluids such as air, oil, and water.Subjects--Topical Terms:

515831
Mathematics.

A level set approach for computing solutions to incompressible two-phase flow.
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008 130614s1994 eng d
035 $a (UnM)AAI9427355
035 $a AAI9427355
040 $a UnM $c UnM
100 1 $a Sussman, Mark. $3 1943486
245 1 0 $a A level set approach for computing solutions to incompressible two-phase flow.
300 $a 115 p.
500 $a Source: Dissertation Abstracts International, Volume: 55-05, Section: B, page: 1875.
500 $a Chair: Stanley Osher.
502 $a Thesis (Ph.D.)--University of California, Los Angeles, 1994.
520 $a A level set approach for computing solutions to incompressible two-phase flow is presented. The interface between the two fluids is considered to be sharp and is described as the zero level set of a smooth function. A new treatment of the level set method allows us to efficiently maintain the level set function as the signed distance from the interface. We never have to explicitly reconstruct or find the zero level set. Consequently, we are able to handle arbitrarily complex topologies, large density and viscosity ratios, and surface tension, on relatively coarse grids. We use a second order projection method along with a second order upwinded procedure for advecting the momentum and level set equations. We consider the motion of air bubbles and water drops. We also compute flows with multiple fluids such as air, oil, and water.
590 $a School code: 0031.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Fluid and Plasma. $3 1018402
690 $a 0405
690 $a 0759
710 2 0 $a University of California, Los Angeles. $3 626622
773 0 $t Dissertation Abstracts International $g 55-05B.
790 1 0 $a Osher, Stanley, $e advisor
790 $a 0031
791 $a Ph.D.
792 $a 1994
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9427355