The role of diagonal dominance and cell reynolds number in implicit difference methods for fluid mechanics problems

1974 ◽  
Vol 16 (3) ◽  
pp. 304-310 ◽  
Author(s):  
Richard S Hirsh ◽  
David H Rudy
Keyword(s):  
Reynolds Number ◽  
Fluid Mechanics ◽  
Diagonal Dominance ◽  
Implicit Difference Methods ◽  
Difference Methods ◽  
Cell Reynolds Number

Stability of Implicit Difference Equations Generated by Parabolic Functional Differential Problems

2007 ◽  
Vol 7 (1) ◽  
pp. 68-82
Author(s):  
K. Kropielnicka
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Initial Boundary ◽  
Numerical Examples ◽  
Convergence Results ◽  
Nonlinear Parabolic ◽  
Implicit Difference Methods ◽  
Neumann Type ◽  
Difference Methods ◽  
Functional Differential

AbstractA general class of implicit difference methods for nonlinear parabolic functional differential equations with initial boundary conditions of the Neumann type is constructed. Convergence results are proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of Perron type with respect to functional variables. Differential equations with deviated variables and differential integral problems can be obtained from a general model by specializing given operators. The results are illustrated by numerical examples.

Effect of Position and Flow Waveform on the Fluid Mechanics of a Stenosed Human Right Coronary Artery

2001 ◽  
Author(s):  
K. B. Chandran ◽  
S. D. Ramaswamy ◽  
Y.-G. Lai ◽  
A. Wahle ◽  
M. Sonka
Keyword(s):  
Fluid Mechanics ◽  
Three Dimensional ◽  
Coronary Vessels ◽  
Mechanical Forces ◽  
Flow Waveform ◽  
Human Right ◽  
Plaque Growth ◽  
Oscillatory Shear Stress ◽  
The Relationship

Abstract Complete occlusion in any of the coronary vessels leads to a myocardial infarction. The role of fluid mechanical forces in atheroma development has been widely accepted because of preferential plaque growth at certain locations of the vessel geometry, such as a bifurcation or regions of high degrees of curvature. Areas of low and/or oscillatory shear stress have been correlated with atheroma development [1]. In order to determine the relationship between fluid mechanical stresses and development of lesions in the coronary vessels, it is important to analyze the fluid mechanics in actual three-dimensional geometries, incorporating the time-dependent translation and geometric alterations of these vessels [2,3].

Numerical shape optimization in Fluid Mechanics at low Reynolds number

2019 ◽  
Author(s):  
Alexis Courtais ◽  
Francois Lesage ◽  
Yannick Privat ◽  
Pascal Frey ◽  
Abderrazak M. Latifi
Keyword(s):  
Reynolds Number ◽  
Fluid Mechanics ◽  
Shape Optimization ◽  
Low Reynolds Number ◽  
Low Reynolds
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