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Simulating the blood-muscle-valve me...

Griffith, Boyce Eugene.

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Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method./
作者:	Griffith, Boyce Eugene.
面頁冊數:	258 p.
附註:	Source: Dissertation Abstracts International, Volume: 66-11, Section: B, page: 6011.
Contained By:	Dissertation Abstracts International66-11B.
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3195449
ISBN:	9780542402937

Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method.
Griffith, Boyce Eugene.

Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method. - 258 p.

Source: Dissertation Abstracts International, Volume: 66-11, Section: B, page: 6011.

Thesis (Ph.D.)--New York University, 2005.

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

Like many problems in biofluid mechanics, cardiac mechanics can be modeled as the dynamic interaction of a viscous incompressible fluid (the blood) and a (visco-)elastic structure (the muscular walls and the valves of the heart). The immersed boundary method is a mathematical formulation and numerical approach to such problems that was originally introduced by Peskin to study blood flow through heart valves, and extensions of this work have yielded a three-dimensional model of the heart and great vessels. Although the computational framework used for these simulations was carefully optimized for shared-memory parallel computers comprised of tens of vector processors, recent supercomputers typically consist of thousands of processors and do not provide a global address space. Making effective use of such machines requires a new implementation of the immersed boundary method. Moreover, for problems that possess localized fine-scale features, computational resources are more efficiently utilized by employing adaptive techniques, whereby high spatial resolution is deployed locally where it is most needed (e.g., in the vicinity of the heart valves) and comparatively coarse resolution is employed where it suffices.

ISBN: 9780542402937Subjects--Topical Terms:

515831
Mathematics.

Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method.
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245 1 0 $a Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method.
300 $a 258 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-11, Section: B, page: 6011.
500 $a Adviser: Charles S. Peskin.
502 $a Thesis (Ph.D.)--New York University, 2005.
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 Like many problems in biofluid mechanics, cardiac mechanics can be modeled as the dynamic interaction of a viscous incompressible fluid (the blood) and a (visco-)elastic structure (the muscular walls and the valves of the heart). The immersed boundary method is a mathematical formulation and numerical approach to such problems that was originally introduced by Peskin to study blood flow through heart valves, and extensions of this work have yielded a three-dimensional model of the heart and great vessels. Although the computational framework used for these simulations was carefully optimized for shared-memory parallel computers comprised of tens of vector processors, recent supercomputers typically consist of thousands of processors and do not provide a global address space. Making effective use of such machines requires a new implementation of the immersed boundary method. Moreover, for problems that possess localized fine-scale features, computational resources are more efficiently utilized by employing adaptive techniques, whereby high spatial resolution is deployed locally where it is most needed (e.g., in the vicinity of the heart valves) and comparatively coarse resolution is employed where it suffices.
520 $a In the present work, we introduce a new adaptive and parallel version of the immersed boundary method and apply this methodology to Peskin and McQueen's three-dimensional model of the heart and great vessels. The adaptive scheme employs the same hierarchical structured grid approach (but a different numerical scheme) as the two-dimensional adaptive immersed boundary method introduced by Roma, Peskin, and Berger, and is based on a formally second order accurate (i.e., second order accurate for problems with sufficiently smooth solutions) version of the immersed boundary method that we have recently described. Actual second order convergence rates are obtained for both the uniform and adaptive methods by considering the interaction of a viscous incompressible fluid and a viscoelastic shell. We additionally describe a distributed-memory parallel implementation of this adaptive methodology, work that was made more manageable by employing modern software design principles and by using readily available mathematical software libraries. Finally, we present initial results from the application of this software to the simulation of cardiac mechanics.
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