NUMERICAL-SOLUTION OF A NAVIER-STOKES PROBLEM IN A STENOSED TUBE - DANGER IN BOUNDARY APPROXIMATIONS OF IMPLICIT MARCHING SCHEMES

被引：7

作者：

EHRLICH, LW

机构：

[1] The Johns Hopkins University, Applied Physics Laboratory, Laurel, MD 20810, John Hopkins Road

来源：

COMPUTERS & FLUIDS | 1979年 / 7卷 / 04期

关键词：

D O I：

10.1016/0045-7930(79)90009-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The numerical solution of a Navier-Stokes problem in a stenosed tube is determined by three approaches: (1) a conformal mapping followed by an explicit march; (2) a numerical mapping followed by a time independent approach; (3) a numerical mapping followed by an implicit march. It is seen that the third approach converges to an incorrect solution, unless care is exercised at the boundary. © 1979.

引用

页码：247 / 256

页数：10

共 15 条

[1]

Ehrlich, Friedman, Particle paths and stasis in unsteady flow through a bifurcation, J. Biomech., 10, pp. 561-568, (1977)

[2]

Friedman, O'Brien, Ehrlich, Calculations of pulsatile flow through a branch: implications for the hemodynamics of atherogenesis, Cir. Res., 36, pp. 227-285, (1975)

[3]

O'Brien, Ehrlich, Simulation of unsteady flow at renal branches, J. Biomech., 10, pp. 623-631, (1977)

[4]

O'Brien, Ehrlich, Pulsatile flow through stenosed arteries, ASME Biomechanical Symp. (ASME AMD.), 23, pp. 113-116, (1977)

[5]

Israeli, A fast implicit numerical method for time dependent viscous flows, Studies in Applied Mathematics, 49, pp. 327-349, (1970)

[6]

Thames, Numerical Solution of the Incompressible Navier-Stokes Equations about Arbitrary Two-dimensional Bodies, Ph.D. Thesis, (1975)

[7]

Thames, Thompson, Mastin, Walker, Numerical solutions for visions and potential flow about arbitrary two-dimensional bodies using body-fitted coordinate systems, J. of Comp. Phys., 24, pp. 245-273, (1977)

[8]

Thompson, Thames, Mastin, Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies, J. of Comp. Phys., 15, pp. 299-319, (1974)

[9]

Ehrlich, Digital simulation of periodic fluid flow in a bifurcation, Computers and Fluids, 2, pp. 237-247, (1974)

[10]

Ehrlich, Solving a time-independent Navier-Stokes difference equation by relaxation, APL/JHU TG 1169, (1971)

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