Numerical Simulation of Scanning Speed and Supercooling Effects During Zone-Melting-Recrystallization of Soi Wafers

1990 ◽  
Vol 205 ◽  
Author(s):  
Sharon M. Yoon ◽  
Loannis N. Miaoulis
Keyword(s):  
Numerical Simulation ◽  
Finite Difference Methods ◽  
Scanning Speed ◽  
Zone Melting ◽  
Silicon On Insulator ◽  
Total Width ◽  
Temperature Profiles ◽  
Zone Width ◽  
Difference Methods ◽  
Property Changes

AbstractThe effects of scanning speed and supercooling were studied during zone-meltingrecrystallization (ZMR) of silicon-on-insulator (SOI) wafers. Using finite difference methods, a numerical simulation of the ZMR process was developed which captures all of the optical and thermal property changes during phase transformation. The effects of supercooling and scanning speed on the temperature profiles, the total width of the melt-zone and the width of ‘slush’ region were investigated. The melt-zone width increases for increasiongf thdee gfrreeeezsi nogf supercooling and decreases for increasing strip heater velocities. The combined effects on the melt-zone width were shown for various scanning speeds and degrees of supercooling. Supercooling also had a significant effect on the size of the freezing ‘slush’ region which was shown to decrease for increasing degrees of supercooling.

scholarly journals Numerical Simulation of the Fractal-Fractional Ebola Virus

2020 ◽  
Vol 4 (4) ◽  
pp. 49 ◽  
Author(s):  
H. M. Srivastava ◽  
Khaled M. Saad
Keyword(s):  
Numerical Simulation ◽  
Ebola Virus ◽  
Numerical Solutions ◽  
Finite Difference Methods ◽  
Polynomial Functions ◽  
Fractional Differentiation ◽  
Lagrange Polynomial ◽  
New Models ◽  
Difference Methods ◽  
Two Parameters

In this work we present three new models of the fractal-fractional Ebola virus. We investigate the numerical solutions of the fractal-fractional Ebola virus in the sense of three different kernels based on the power law, the exponential decay and the generalized Mittag-Leffler function by using the concepts of the fractal differentiation and fractional differentiation. These operators have two parameters: The first parameter ρ is considered as the fractal dimension and the second parameter k is the fractional order. We evaluate the numerical solutions of the fractal-fractional Ebola virus for these operators with the theory of fractional calculus and the help of the Lagrange polynomial functions. In the case of ρ=k=1, all of the numerical solutions based on the power kernel, the exponential kernel and the generalized Mittag-Leffler kernel are found to be close to each other and, therefore, one of the kernels is compared with such numerical methods as the finite difference methods. This has led to an excellent agreement. For the effect of fractal-fractional on the behavior, we study the numerical solutions for different values of ρ and k. All calculations in this work are accomplished by using the Mathematica package.

Numerical simulation for solution of SEIR models by meshless and finite difference methods

2020 ◽  
Vol 141 ◽  
pp. 110340 ◽  
Author(s):  
Muhammad Asif ◽  
Zar Ali Khan ◽  
Nadeem Haider ◽  
Qasem Al-Mdallal
Keyword(s):  
Numerical Simulation ◽  
Finite Difference ◽  
Finite Difference Methods ◽  
Difference Methods

The Key Techniques for Thermal-Flow-Elastic Coupling Numerical Simulation Platform in Turbines

2008 ◽  
Author(s):  
Zhaoyuan Guo ◽  
Qiang Wang ◽  
Ping Dong ◽  
Chi Zhou ◽  
Guotai Feng
Keyword(s):  
Experimental Data ◽  
Numerical Simulation ◽  
Finite Difference ◽  
Finite Difference Methods ◽  
Analytic Solutions ◽  
Stress Fields ◽  
Simulation Platform ◽  
Elastic Coupling ◽  
Thermal Flow ◽  
Difference Methods

Thermal-flow-elastic coupling (TFEC) numerical simulation platform has been an essential platform for designing turbo engines with high performance and efficiency. Generally, TFEC numerical simulation was achieved by predicting thermal and stress fields with finite element methods, while flow fields with finite difference methods, but such calculation was not popular in engineering design, because of too much size of data exchange and lower computing efficiency. However these shortcomings will not exist by using finite difference methods for all of the fields. To establish a three dimensional multifunction numerical simulation platform for turbines for all of the fields, the key technique was studied firstly. The technique included analysis on physical models, establishing of mathematical model equation, usage of curvilinear coordinate platform, construction of high accuracy difference scheme and selection of boundary conditions for multi-field coupling simulation. Then the algorithm including domain decomposition one and parallel one were studied to accelerate the coupling simulation. The purpose was to develop a completed TFEC numerical simulation platform by using of finite difference method and to apply the platform for numerical simulation in turbines. Firstly codes for predicting flow field in passage, thermal and stress fields in solid body were developed. Then a simple TFEC numerical simulation platform for turbines was obtained. The single code for predicting flow field was verified with experimental data, and the other two codes were validated with thermal and elastic analytic solutions respectively. And satisfying results were obtained. Then the code for thermal-flow was validated with experimental data of Mark II blade, and the code for thermal-elastic coupling simulations was validated with a cylinder by an analytic solutions. All of these are good basics for completing TFEC numerical simulation platform using finite difference methods for all of the fields and computing TFEC numerical simulation in a turbo engine.

Sign in / Sign up

Export Citation Format

Share Document