An Efficient Finite-Difference Method for Simulating Phase Segregation in the Matrix Blocks in Double-Porosity Reservoirs

1986 ◽  
Vol 1 (04) ◽  
pp. 403-413 ◽  
Author(s):  
J.R. Gilman
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Phase Segregation ◽  
Double Porosity ◽  
Matrix Blocks ◽  
The Matrix

An exponential expanding meshes sequence and finite difference method adopted for two-dimensional elliptic equations

2016 ◽  
Vol 07 (02) ◽  
pp. 1650006 ◽  
Author(s):  
Navnit Jha ◽  
Neelesh Kumar
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Ocean Model ◽  
Two Dimensions ◽  
Matrix Analysis ◽  
Geometric Mesh ◽  
Compact Formulation ◽  
The Matrix ◽  
The Difference

We demonstrate a new nonuniform mesh finite difference method to obtain accurate solutions for the elliptic partial differential equations in two dimensions with nonlinear first-order partial derivative terms. The method will be based on a geometric grid network area and included among the most stable differencing scheme in which the nine-point spatial finite differences are implemented, thus arriving at a compact formulation. In general, a third order of accuracy has been achieved and a fourth-order truncation error in the solution values will follow as a particular case. The efficiency of using geometric mesh ratio parameter has been shown with the help of illustrations. The convergence of the scheme has been established using the matrix analysis, and irreducibility is proved with the help of strongly connected characteristics of the iteration matrix. The difference scheme has been applied to test convection diffusion equation, steady state Burger’s equation, ocean model and a semi-linear elliptic equation. The computational results confirm the theoretical order and accuracy of the method.

Application of Finite Difference Method in Modeling Quantum Dot Superlattice Silicon Tandem Solar Cell

2014 ◽  
Vol 898 ◽  
pp. 249-252 ◽  
Author(s):  
Jie Huang ◽  
Jian Liang Jiang ◽  
Abdelkader Sabeur
Keyword(s):  
Quantum Dots ◽  
Solar Cell ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Quantum Dot ◽  
Difference Method ◽  
Matrix Material ◽  
Three Dimensional ◽  
Tandem Solar Cell ◽  
The Matrix

In this paper we propose an effective method to model quantum dot superlattice silicon tandem solar cell. The Schrödinger equation is solved through finite difference method (FDM) to calculate energy band of three-dimensional silicon quantum dots embedded in the matrix of SiO2 and Si3N4.We simulate the quantum dot superlattice as regularly spaced array of equally sized cubic dots in respective matrix. For simplicity, we consider only one period of the structure in calculation. From the result, the effects of matrix material, dot size and inter-dot distance on the bandgap are obtained.

HEAT TRANSFER IN LARGE RUBBER ELEMENTS THROUGH OF MODELING BY FINITE DIFFERENCE METHOD

2019 ◽  
Author(s):  
Lucas Peixoto ◽  
Ane Lis Marocki ◽  
Celso Vieira Junior ◽  
Viviana Mariani
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method

Weighted Finite Difference and Boundary Element Methods Applied to Groundwater Pollution Problems

1991 ◽  
Vol 23 (1-3) ◽  
pp. 517-524
Author(s):  
M. Kanoh ◽  
T. Kuroki ◽  
K. Fujino ◽  
T. Ueda
Keyword(s):  
Boundary Element Method ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Element ◽  
Difference Method ◽  
Groundwater Pollution ◽  
Small Region ◽  
Boundary Element Methods ◽  
Computational Time ◽  
Element Method

The purpose of the paper is to apply two methods to groundwater pollution in porous media. The methods are the weighted finite difference method and the boundary element method, which were proposed or developed by Kanoh et al. (1986,1988) for advective diffusion problems. Numerical modeling of groundwater pollution is also investigated in this paper. By subdividing the domain into subdomains, the nonlinearity is localized to a small region. Computational time for groundwater pollution problems can be saved by the boundary element method; accurate numerical results can be obtained by the weighted finite difference method. The computational solutions to the problem of seawater intrusion into coastal aquifers are compared with experimental results.

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