FINITE ELEMENT GALERKIN APPROACH FOR A COMPUTATIONAL STUDY OF ARTERIAL FLOW

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (9): 1012-1018.

FINITE ELEMENT GALERKIN APPROACH FOR A COMPUTATIONAL STUDY OF ARTERIAL FLOW

G.C.夏玛, 马德胡·珍, 阿尼尔·克乌玛

School of Mathematical Sciences, Institute of Basic Science, Khandari, Agra-282002, India

收稿日期:2000-03-03 修回日期:2001-07-08 出版日期:2001-09-18 发布日期:2001-09-18
基金资助:
CSIR,New Delhi(25/98/97-EMR-Ⅱ)

FINITE ELEMENT GALERKIN APPROACH FOR A COMPUTATIONAL STUDY OF ARTERIAL FLOW

G.C.Sharma, Madhu Jain, Anil Kumar

School of Mathematical Sciences, Institute of Basic Science, Khandari, Agra-282002, India

Received:2000-03-03 Revised:2001-07-08 Online:2001-09-18 Published:2001-09-18
Supported by:
CSIR,New Delhi(25/98/97-EMR-Ⅱ)

摘要/Abstract

摘要： A finite element solution for the Navier-Stokes equations for steady flow through a double branched two dimensional section of three dimensional model of canine aorta is obtained. The numerical technique involves transformation of the physical coordinates to a curvilinear boundary fitted coordinate system. The shear stress at the wall is calculated for Reynolds number of 1000 with branch to main aortic flow rate ratio as a parameter. The results are compared with earlier works involving experimental data and it is observed that the results are very close to their solutions. This work in fact is an improvement of the work of Sharma and Kapoor (1995) in the sense that computations scheme is economic and Reynolds number is large.

Abstract: A finite element solution for the Navier-Stokes equations for steady flow through a double branched two dimensional section of three dimensional model of canine aorta is obtained. The numerical technique involves transformation of the physical coordinates to a curvilinear boundary fitted coordinate system. The shear stress at the wall is calculated for Reynolds number of 1000 with branch to main aortic flow rate ratio as a parameter. The results are compared with earlier works involving experimental data and it is observed that the results are very close to their solutions. This work in fact is an improvement of the work of Sharma and Kapoor (1995) in the sense that computations scheme is economic and Reynolds number is large.

中图分类号:

G.C.夏玛;马德胡·珍;阿尼尔·克乌玛. FINITE ELEMENT GALERKIN APPROACH FOR A COMPUTATIONAL STUDY OF ARTERIAL FLOW[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(9): 1012-1018.

G.C.Sharma;Madhu Jain;Anil Kumar. FINITE ELEMENT GALERKIN APPROACH FOR A COMPUTATIONAL STUDY OF ARTERIAL FLOW[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(9): 1012-1018.

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FINITE ELEMENT GALERKIN APPROACH FOR A COMPUTATIONAL STUDY OF ARTERIAL FLOW

FINITE ELEMENT GALERKIN APPROACH FOR A COMPUTATIONAL STUDY OF ARTERIAL FLOW

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