Characteristics Incorporated Boundary Element for One-Dimensional Convective Diffusion Problem

1986 ◽  
pp. 793-801
Author(s):  
M. Sakakihara
Keyword(s):  
Boundary Element ◽  
Convective Diffusion ◽  
Diffusion Problem ◽  
One Dimensional

scholarly journals Increasing the Accuracy of the Difference Scheme Using the Richardson Extrapolation Based on the Movable Node Method

2020 ◽  
pp. 204-212
Author(s):  
Umurdin Dalabaev
Keyword(s):  
Difference Scheme ◽  
Analytical Solutions ◽  
Numerical Experiments ◽  
Convective Diffusion ◽  
Diffusion Problem ◽  
Richardson Extrapolation ◽  
One Dimensional ◽  
Approximate Analytical Solutions ◽  
The Difference

A one-dimensional convective-diffusion problem is considered. To improve the quality of difference schemes, the method of moving nodes is used in combination with Richardson interpolation. Approximate analytical solutions and improved schemes are obtained. Numerical experiments carried out.

Transient convective diffusion to a uniformly accessible surface under aparent slip conditions

1991 ◽  
Vol 56 (2) ◽  
pp. 334-343
Author(s):  
Ondřej Wein
Keyword(s):  
Power Law ◽  
Analytical Solutions ◽  
Convective Diffusion ◽  
Active Surface ◽  
Velocity Profiles ◽  
One Dimensional ◽  
Slip Conditions ◽  
Accessible Surface ◽  
Diffusion Problems

Analytical solutions are given to a class of unsteady one-dimensional convective-diffusion problems assuming power-law velocity profiles close to the transport-active surface.

Stress and Strain Definition of an Open Profile Thin-Walled Beam at Constrained Torsion by Boundary Element Method

2012 ◽  
Vol 42 (2) ◽  
pp. 43-54
Author(s):  
Zlatko Zlatanov
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Stress And Strain ◽  
One Dimensional ◽  
Open Profile ◽  
Linear Algebraic Equations ◽  
Thin Walled ◽  
Definition Of ◽  
Constrained Torsion ◽  
Element Method

Stress and Strain Definition of an Open Profile Thin-Walled Beam at Constrained Torsion by Boundary Element Method Thin-walled beams with open profile at constrained torsion are investigated in this paper. A thin-walled beam loaded by an external bi-moment at constrained torsion is investigated in this paper. An analytical variant of the boundary element method (BEM) is presented, which is based on a new scheme of the integral ratios transformation of the initial parameters method in a system of linear algebraic equations. Only one dimensional integrals are used defining the one dimensional continuum.

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