A finite difference method for modeling the DC electrical potential field including surface topography

2009 ◽  
Author(s):  
Jianguo Sun ◽  
Dongliang Zhang ◽  
Zhangqing Sun
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Surface Topography ◽  
Difference Method ◽  
Potential Field ◽  
Electrical Potential ◽  
Electrical Potential Field

An improved immersed boundary finite-difference method for seismic wave propagation modeling with arbitrary surface topography

Geophysics ◽  
2016 ◽  
Vol 81 (6) ◽  
pp. T311-T322 ◽  
Author(s):  
Wenyi Hu
Keyword(s):  
Wave Propagation ◽  
Free Surface ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Surface Topography ◽  
Seismic Wave ◽  
Difference Method ◽  
Forward Modeling ◽  
Seismic Wave Propagation ◽  
Immersed Boundary

To accurately simulate seismic wave propagation for the purpose of developing modern land data processing tools, especially full-waveform inversion (FWI), we have developed an efficient high-order finite-difference forward-modeling algorithm with the capability of handling arbitrarily shaped free-surface topography. Unlike most existing forward-modeling algorithms using curvilinear grids to fit irregular surface topography, this finite-difference algorithm, based on an improved immersed boundary method, uses a regular Cartesian grid system without suffering from staircasing error, which is inevitable in a conventional finite-difference method. In this improved immersed boundary finite-difference (IBFD) algorithm, arbitrarily curved surface topography is accounted for by imposing the free-surface boundary conditions at exact boundary locations instead of using body-conforming grids or refined grids near the boundaries, thus greatly reducing the complexity of its preprocessing procedures and the computational cost. Furthermore, local continuity, large curvatures, and subgrid curvatures are represented precisely through the employment of the so-called dual-coordinate system — a local cylindrical and a global Cartesian coordinate. To properly describe the wave behaviors near complex free-surface boundaries (e.g., overhanging structures and thin plates, or other fine geometry features), the wavefields in a ghost zone required for the boundary condition enforcement are reconstructed accurately by introducing a special recursive interpolation technique into the algorithm, which substantially simplifies the boundary treatment procedures and further improves the numerical performance of the algorithm, as demonstrated by the numerical experiments. Numerical examples revealed the performance of the IBFD method in comparison with a conventional finite-difference method.

scholarly journals INVESTIGATION OF CALCULATION TECHNIQUES OF FINITE DIFFERENCE METHOD

2010 ◽  
Vol 2 (1) ◽  
pp. 103-107 ◽  
Author(s):  
Audrius Krukonis
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Transmission Line ◽  
Difference Method ◽  
Characteristic Impedance ◽  
Electrical Potential ◽  
Microstrip Transmission Line ◽  
Impedance Calculation ◽  
Line Analysis ◽  
Matrix Calculation

Finite difference method used for microstrip transmission line analysis is considered in this article. Paper mainly deals with iterative and bound matrix calculation techniques of finite difference method. Mathematical model for microstrip transmission line electrical potential calculations using both techniques is described. Results of characteristic impedance calculation using iterative and bound matrix techniques are presented and analyzed.

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
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