A novel implementation for two-dimensional unconditionally stable FDTD method

2003 ◽  
Vol 38 (6) ◽  
pp. 457-462 ◽  
Author(s):  
An Ping Zhao
Keyword(s):  
Fdtd Method ◽  
Two Dimensional ◽  
Unconditionally Stable

An unconditionally stable FDTD method based on wave equation

2008 ◽  
Vol 51 (2) ◽  
pp. 529-532 ◽  
Author(s):  
Hai Lin ◽  
Gaofeng Wang ◽  
Feng Liang
Keyword(s):  
Wave Equation ◽  
Fdtd Method ◽  
Unconditionally Stable

The Unconditionally Stable Associated Hermite FDTD Method With Thin Wire Modeling

2021 ◽  
pp. 1-4
Author(s):  
Zi-An Chen ◽  
Shao-Bin Liu ◽  
Zheng-Yu Huang ◽  
Li-Hua Shi ◽  
Ya-Tong Hou
Keyword(s):  
Fdtd Method ◽  
Thin Wire ◽  
Unconditionally Stable

Investigation of Contact Conditions During Stamping of a Thin Plate

2020 ◽  
Author(s):  
Harshal Y. Shahare ◽  
Rohan Rajput ◽  
Puneet Tandon
Keyword(s):  
Wave Propagation ◽  
Material Properties ◽  
High Speed ◽  
Fdtd Method ◽  
Propagation Model ◽  
Transmitted Wave ◽  
Two Dimensional ◽  
Contact Conditions ◽  
Simulation Based ◽  
Difference Time

Abstract Stamping is one of the most used manufacturing processes, where real-time monitoring is quite difficult due to high speed of the mechanical press, which leads to deterioration of the accuracy of the products In the present work, a method is developed to model elastic waves propagation in solids to measure contact conditions between die and workpiece during stamping. A two-dimensional model is developed that reduces the wave propagation equations to two-dimensional equations. To simulate the wave propagation inside the die-workpiece model, the finite difference time domain (FDTD) method and modified Yee algorithm has been employed. The numerical stability of the wave propagation model is achieved through courant stability condition, i.e., Courant-Friedrichs-Lewy (CFL) number. Two cases, i.e., flat die-workpiece interface and inclined die-workpiece interface, are investigated in the present work. The elastic wave propagation is simulated with a two-dimension (2D) model of the die and workpiece using reflecting boundary conditions for different material properties. The experimental and simulation-based results of reflected and transmitted wave characteristics are compared for different materials in terms of reflected and transmitted wave height ratio and material properties such as acoustic impedance. It is found that the numerical simulation results are in good agreement with the experimental results.

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