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Simulations of the flow past an arra...

Lai, Ming-Chih.

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Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method./
作者:	Lai, Ming-Chih.
面頁冊數:	80 p.
附註:	Source: Dissertation Abstracts International, Volume: 59-09, Section: B, page: 4855.
Contained By:	Dissertation Abstracts International59-09B.
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9907167
ISBN:	9780599049703

Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method.
Lai, Ming-Chih.

Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method. - 80 p.

Source: Dissertation Abstracts International, Volume: 59-09, Section: B, page: 4855.

Thesis (Ph.D.)--New York University, 1998.

This item must not be sold to any third party vendors.

Problems of biological fluid mechanics often involve the interaction of a viscous incompressible fluid with an elastic membrane. One can consider this membrane as a boundary immersed in the fluid. The Immersed Boundary Method was designed to solve this kind of problem. The main idea of this method is to use a regular Eulerian computational grid for the fluid mechanics together with a Lagrangian representation of the immersed boundary. The boundary applies a singular force to the fluid and at the same time it moves at the local fluid velocity. One common question about this method is how the numerical scheme performs at different Reynolds numbers. We address this question by simulating the flow past an array of cylinders, a classical fluid dynamics problem. The Immersed Boundary Method calls a Navier-Stokes solver as a subroutine, and we study the effect of this fluid solver on the accuracy of the computation. We find that there is considerable benefit to the use of a second order accurate fluid solver despite the fact that the Immersed Boundary Method, as presently formulated, is only first order accurate. The benefit comes from a reduction in numerical viscosity, as revealed in the calculation of drag.

ISBN: 9780599049703Subjects--Topical Terms:

515831
Mathematics.

Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method.
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500 $a Source: Dissertation Abstracts International, Volume: 59-09, Section: B, page: 4855.
500 $a Adviser: Charles S. Peskin.
502 $a Thesis (Ph.D.)--New York University, 1998.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a Problems of biological fluid mechanics often involve the interaction of a viscous incompressible fluid with an elastic membrane. One can consider this membrane as a boundary immersed in the fluid. The Immersed Boundary Method was designed to solve this kind of problem. The main idea of this method is to use a regular Eulerian computational grid for the fluid mechanics together with a Lagrangian representation of the immersed boundary. The boundary applies a singular force to the fluid and at the same time it moves at the local fluid velocity. One common question about this method is how the numerical scheme performs at different Reynolds numbers. We address this question by simulating the flow past an array of cylinders, a classical fluid dynamics problem. The Immersed Boundary Method calls a Navier-Stokes solver as a subroutine, and we study the effect of this fluid solver on the accuracy of the computation. We find that there is considerable benefit to the use of a second order accurate fluid solver despite the fact that the Immersed Boundary Method, as presently formulated, is only first order accurate. The benefit comes from a reduction in numerical viscosity, as revealed in the calculation of drag.
590 $a School code: 0146.
650 4 $a Mathematics. $3 515831
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Applied Mechanics. $3 1018410
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710 2 $a New York University. $3 515735
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