263 Stability Analysis for Shear Flow by Domain Decomposition type Boundary Element Method

2001 ◽  
Vol 2001.14 (0) ◽  
pp. 249-250
Author(s):  
Takashi MANABE ◽  
Nobuyoshi TOSAKA
Keyword(s):  
Stability Analysis ◽  
Boundary Element Method ◽  
Shear Flow ◽  
Domain Decomposition ◽  
Boundary Element ◽  
Type Boundary ◽  
Element Method

The analysis of self-diffusion and migration of rough spheres in nonlinear shear flow using a traction-corrected boundary element method

2008 ◽  
Vol 598 ◽  
pp. 267-292 ◽  
Author(s):  
MARC S. INGBER ◽  
SHIHAI FENG ◽  
ALAN L. GRAHAM ◽  
HOWARD BRENNER
Keyword(s):  
Boundary Element Method ◽  
Shear Flow ◽  
Boundary Element ◽  
Particle Migration ◽  
Self Diffusion ◽  
Centre Of Gravity ◽  
Particle Pairs ◽  
And Migration ◽  
Nonlinear Shear ◽  
Element Method

The phenomena of self-diffusion and migration of rough spheres in nonlinear shear flows are investigated using a new traction-corrected boundary element method (TC-BEM) in which the near-field asymptotics for the traction solution in the interstitial region between two nearly touching spheres is seamlessly coupled with a traditional direct boundary element method. The TC-BEM is extremely accurate in predicting particle trajectories, and hence can be used to calculate both the particle self-diffusivity and a newly defined migration diffusivity for dilute suspensions. The migration diffusivity is a function of a nonlinearity parameter characterizing the shear flow and arises from the net displacement of the centre of gravity of particle pairs. This net displacement of the centre of gravity of particle pairs does not occur for smooth particles, nor for rough particles in a linear shear flow. An explanation is provided for why two-particle interactions of rough spheres in a nonlinear shear flow result in particle migration.

scholarly journals Stability analysis of the marching-on-in-time boundary element method for electromagnetics

2016 ◽  
Vol 294 ◽  
pp. 358-371 ◽  
Author(s):  
Elwin van ’t Wout ◽  
Duncan R. van der Heul ◽  
Harmen van der Ven ◽  
Cornelis Vuik
Keyword(s):  
Stability Analysis ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Time Boundary ◽  
Element Method

STABILITY ANALYSIS OF A COLLOCATION METHOD FOR SOLVING THE RETARDED POTENTIAL INTEGRAL EQUATION

2005 ◽  
Vol 13 (02) ◽  
pp. 287-299 ◽  
Author(s):  
P. J. HARRIS ◽  
H. WANG ◽  
R. CHAKRABARTI ◽  
D. HENWOOD
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Stability Analysis ◽  
Boundary Element Method ◽  
Numerical Solution ◽  
Boundary Element ◽  
Collocation Method ◽  
Stability Problem ◽  
Numerical Scheme ◽  
Type Boundary

This paper deals with the numerical solution of the retarded potential integral equation using a collocation type boundary element method. This method is widely used in practice but often suffers from stability problems. The purpose of the paper is to carry out a stability analysis of the numerical scheme and examine how any instability arises. This paper will then propose a method for overcoming this stability problem. A comparison with an exact solution demonstrates that the approach proposed here is effective for the case of a sphere.

214 Behavior of a Red Blood Cell in a Simple Shear Flow Simulated by a Boundary Element Method

2009 ◽  
Vol 2008.21 (0) ◽  
pp. 85-86
Author(s):  
Toshihiro OMORI ◽  
Takuji ISHIKAWA ◽  
Dominique BARTHES-BIESEL ◽  
Yohsuke IMAI ◽  
Takami YAMAGUCHI
Keyword(s):  
Boundary Element Method ◽  
Shear Flow ◽  
Blood Cell ◽  
Boundary Element ◽  
Simple Shear ◽  
Red Blood Cell ◽  
Simple Shear Flow ◽  
Element Method

B203 Behavior of a Red Blood Cell in a Simple Shear Flow Simulated by a Boundary Element Method

2008 ◽  
Vol 2008.19 (0) ◽  
pp. 47-48
Author(s):  
Toshihiro OMORI ◽  
Takuji ISHIKAWA ◽  
Dominique BARTHES-BIESEL ◽  
Yohsuke IMAI ◽  
Takami YAMAGUCHI
Keyword(s):  
Boundary Element Method ◽  
Shear Flow ◽  
Blood Cell ◽  
Boundary Element ◽  
Simple Shear ◽  
Red Blood Cell ◽  
Simple Shear Flow ◽  
Element Method

Analysis of Sloshing Phenomenon by Trefftz-type Boundary Element Method

2000 ◽  
Vol 2000.13 (0) ◽  
pp. 95-96
Author(s):  
Y. IKEDA ◽  
Junichi KATSURAGAWA ◽  
Eisuke KITA ◽  
Norio KAMIYA
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Sloshing Phenomenon ◽  
Type Boundary ◽  
Element Method
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