scholarly journals A Finite-Difference Numerical Method for Onsager's Pancake Approximation for Fluid Flow in a Gas Centrifuge

2007 ◽  
Author(s):  
M de Stadler ◽  
K Chand
Keyword(s):  
Fluid Flow ◽  
Finite Difference ◽  
Numerical Method ◽  
Gas Centrifuge ◽  
Finite Difference Numerical Method

Simulation by Finite Difference Numerical Method of ${\rm Nb}_{3}{\rm Sn}$ Strand Under Bending Strain

2009 ◽  
Vol 19 (3) ◽  
pp. 2641-2644 ◽  
Author(s):  
C. Fiamozzi Zignani ◽  
V. Corato ◽  
A. della Corte ◽  
A. Di Zenobio ◽  
G. Messina ◽  
...  
Keyword(s):  
Finite Difference ◽  
Numerical Method ◽  
Bending Strain ◽  
Finite Difference Numerical Method

scholarly journals Finite Difference Numerical Method: Applications in Lightning Electromagnetic Pulse and Heat Diffusion

2021 ◽  
Vol 6 (3) ◽  
Author(s):  
Olufunke G Darley ◽  
Adetokunbo A Adenowo ◽  
Abayomi I Yussuff
Keyword(s):  
Finite Difference ◽  
Transmission Line ◽  
Numerical Method ◽  
Time Domain ◽  
Heat Sink ◽  
Finite Difference Time Domain ◽  
Electromagnetic Pulse ◽  
Heat Diffusion ◽  
Finite Difference Numerical Method ◽  
Difference Time

The finite difference time domain (FDTD) is a technique of the finite difference numerical method and is a simple but powerful and versatile tool that has been widely applied in many scientific and engineering problems. A typical application of the technique is in dealing with electromagnetic (EM) wave interactions with physical structures. This technique has been used to solve governing equations of various systems through obtaining numerical approximations to the time-dependent differential equations for computer simulations. This paper demonstrates the accuracy and versatility of the application of FDTD method by applying it to examine the effect of lightning electromagnetic pulse (LEMP) on a transmission line using a cross-linked polyethylene (XLPE) insulated power cable, as well as to analyze heat diffusion in a microchip heat sink made from Aluminium Alloy 6061. The effect of LEMP on a transmission line showed that the higher the values of the line parameters, the larger the voltages that will be induced on the line and that bigger values of finite difference (FD) parameters give a more accurate model subject to a stability criterion. Accurate modelling of induced voltages ensures that appropriate mitigating techniques can be deployed to reduce or eliminate the damaging effect of these on electrical and/or electronic devices/systems. Similarly, proper modeling of a heat sink provides the ability to closely estimate heat diffusion at product design stage such that a design is confirmed as workable before manufacture; thereby saving cost. Keywords—Finite Difference Method, Finite Difference Time Domain, Engineering Applications, Lightning Electromagnetic Pulse, Heat Diffusion. 

Axisymmetric flow near the critical point on the moving boundary

2010 ◽  
Vol 7 ◽  
pp. 182-190
Author(s):  
I.Sh. Nasibullayev ◽  
E.Sh. Nasibullaeva
Keyword(s):  
Fluid Flow ◽  
Finite Difference ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Axial Velocity ◽  
Moving Boundary ◽  
Axisymmetric Flow ◽  
Boundary Motion ◽  
Newton Raphson ◽  
Raphson Method

In this paper the investigation of the axisymmetric flow of a liquid with a boundary perpendicular to the flow is considered. Analytical equations are derived for the radial and axial velocity and pressure components of fluid flow in a pipe of finite length with a movable right boundary, and boundary conditions on the moving boundary are also defined. A numerical solution of the problem on a finite-difference grid by the iterative Newton-Raphson method for various velocities of the boundary motion is obtained.

scholarly journals The convergence of a numerical method for total variation flow

2021 ◽  
Vol 15 ◽  
pp. 174830262110113
Author(s):  
Qianying Hong ◽  
Ming-jun Lai ◽  
Jingyue Wang
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Numerical Method ◽  
Convergence Analysis ◽  
Total Variation ◽  
Iterative Algorithm ◽  
Finite Difference Scheme ◽  
Gradient Flow ◽  
Time Dependent ◽  
Total Variation Flow

We present a convergence analysis for a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fetami model. We devise an iterative algorithm to compute the solution of the finite difference scheme and prove the convergence of the iterative algorithm. Finally computational experiments are shown to demonstrate the convergence of the finite difference scheme.

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