Steady-State Tissue Oxygen Distributions Calculated by a Green’s Function Method and a Finite Difference Method: A Comparison*

2020 ◽  
Author(s):  
B. Serajelahi ◽  
S. Kharche ◽  
D. Goldman
Keyword(s):  
Steady State ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Green’S Function ◽  
Green's Function ◽  
Difference Method ◽  
Function Method ◽  
Tissue Oxygen ◽  
Green’S Function Method

Simulation of Rapid Heating in Fusion Reactor First Walls Using the Green’s Function Approach

1984 ◽  
Vol 106 (3) ◽  
pp. 486-490 ◽  
Author(s):  
A. M. Hassanein ◽  
G. L. Kulcinski
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Green’S Function ◽  
Green's Function ◽  
Difference Method ◽  
Moving Boundary ◽  
Rapid Heating ◽  
High Energy ◽  
Advantages And Disadvantages ◽  
The Finite Difference Method

The solution of the heat conduction probem in moving boundary conditions is very important in predicting accurate thermal behavior of materials when very high energy deposition is expected. Such high fluxes are encountered on first wall materials and other components in fusion reactors. A numerical method has been developed to solve this problem by the use of the Green’s function. A comparison is made between this method and a finite difference one. The comparison in the finite difference method is made with and without the variation of the thermophysical properties with temperature. The agreement between Green’s function and the finite difference method is found to be very good. The advantages and disadvantages of using the Green’s function method and the importance of the variation of material thermal properties with temperature are discussed.

Dynamic Green’s Function of Finite Media by Finite Difference Method

1990 ◽  
Vol 112 (1) ◽  
pp. 45-52 ◽  
Author(s):  
Y. Fukunaga ◽  
M. Enoki ◽  
T. Kishi ◽  
J. Kihara
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Green’S Function ◽  
Green's Function ◽  
Difference Method ◽  
Green's Functions ◽  
Green’S Functions ◽  
Three Dimensional ◽  
Compact Tension ◽  
Source Characterization

A three-dimensional finite difference method (FDM) has been developed for the computation of elastic wave propagation in finite media containing a macrocrack, with a new treatment of boundary conditions of surfaces. The method can be used for the simulation of dynamic Green’s functions of an arbitrary rectangular parallelepiped medium with a macrocrack such as a compact tension (CT) specimen. The validity of the method has been confirmed by comparison with theoretical solutions of the plate problem for a monopole source and a double source. The method was then applied to the computation of Green’s functions for a seismic moment in CT specimen. Evaluation of Green’s function by this three-dimensional FDM leads to more accurate acoustic emission (AE) source characterization.

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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