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A numerical approach for the interfa...

Wang, Jin.

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A numerical approach for the interfacial motion between two immiscible incompressible fluids.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A numerical approach for the interfacial motion between two immiscible incompressible fluids./
Author:	Wang, Jin.
Description:	166 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-07, Section: B, page: 3493.
Contained By:	Dissertation Abstracts International65-07B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3141715
ISBN:	0496887959

A numerical approach for the interfacial motion between two immiscible incompressible fluids.
Wang, Jin.

A numerical approach for the interfacial motion between two immiscible incompressible fluids. - 166 p.

Source: Dissertation Abstracts International, Volume: 65-07, Section: B, page: 3493.

Thesis (Ph.D.)--The Ohio State University, 2004.

Incompressible flows with interfaces occur in a wide variety of physical phenomena as well as technological processes. Mathematically, the motion is governed by the incompressible Navier-Stokes equations together with interfacial conditions.

ISBN: 0496887959Subjects--Topical Terms:

515831
Mathematics.

A numerical approach for the interfacial motion between two immiscible incompressible fluids.
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100 1 $a Wang, Jin. $3 1029969
245 1 2 $a A numerical approach for the interfacial motion between two immiscible incompressible fluids.
300 $a 166 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-07, Section: B, page: 3493.
500 $a Adviser: Greg Baker.
502 $a Thesis (Ph.D.)--The Ohio State University, 2004.
520 $a Incompressible flows with interfaces occur in a wide variety of physical phenomena as well as technological processes. Mathematically, the motion is governed by the incompressible Navier-Stokes equations together with interfacial conditions.
520 $a In this thesis, we present a numerical approach to simulate the two-dimensional viscous, incompressible flows with interfaces. First we introduce some new coordinates so that the interface is mapped into a coordinate line which enables us to work on a rectangular domain instead of a deformed geometry. Then an iterative approach combined with an implicit time marching method is applied to update the motion in time. At each iterate, the Fourier transform and the pseudo-spectral technique are applied in the horizontal direction, X, under the assumption that the solutions are periodic in X. Then we write the semi-discretized equations as a 1st-order ODE system with respect to the vertical coordinate, Z, and an efficient ODE solver is developed to construct the solutions.
520 $a As an application of our numerical approach, we study the problem of steady progressive interfacial waves (Stokes waves). In contrast to all the previous work which was concerned with inviscid fluids, we study Stokes waves in the presence of viscosity. Our numerical results show that the effect of viscosity is somehow equivalent to the decay of the expansion parameter in the series expansion of the inviscid Stokes waves. Our work suggests a new expansion form for Stokes waves in viscous fluids. In addition, we perform a similar study for the viscous effects on standing waves.
520 $a Finally, some analysis is applied for the linearized motion. In particular, the asymptotic solution to the linearized interfacial flow is derived.
590 $a School code: 0168.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 0 $a The Ohio State University. $3 718944
773 0 $t Dissertation Abstracts International $g 65-07B.
790 1 0 $a Baker, Greg, $e advisor
790 $a 0168
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3141715