Virtual boundary element method for multistage depressed collector of traveling-wave tubes

2011 ◽  
Vol 18 (4) ◽  
pp. 043106
Author(s):  
Jianqiang Lai ◽  
Yubin Gong ◽  
Hairong Yin ◽  
Zhaoyun Duan ◽  
Yanyu Wei
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Traveling Wave ◽  
Virtual Boundary ◽  
Depressed Collector ◽  
Traveling Wave Tubes ◽  
Virtual Boundary Element ◽  
Element Method

Theory of Fast Multipole Virtual Boundary Element Method and Discussion on Key Issues

2012 ◽  
Vol 152-154 ◽  
pp. 1828-1833
Author(s):  
Yan Tao Jiang ◽  
Hong Yuan Bai
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Computing Time ◽  
Engineering Application ◽  
Reference Value ◽  
Fast Multipole ◽  
Key Issues ◽  
Virtual Boundary ◽  
Virtual Boundary Element ◽  
Element Method

The basic theory of fast multipole virtual boundary element method (VBEM) is discussed through expanding the fundamental solution, and the algorithm can make the complexities of operation and memory about solution of the equations to be of linear proportion to the freedoms of the problem. Numerical examples are presented to demonstrate the feasibility, accuracy and efficiency of the method. At the same time, the relationships between the order for expansion and the storage capacity, computing time, precision are analyzed, and the influence of boundary points in the leaf to the calculation efficiency is discussed. The corresponding reference value is put forward for the convenience of engineering application.

A BOUNDARY-ELEMENT METHOD FOR ATOMIZATION OF A FINITE LIQUID JET

1995 ◽  
Vol 5 (6) ◽  
pp. 621-638 ◽  
Author(s):  
J. H. Hilbing ◽  
Stephen D. Heister ◽  
C. A. Spangler
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Liquid Jet ◽  
Element Method

Application of the Boundary Element Method and Modal Analysis to Tire Acoustics Problems

1993 ◽  
Vol 21 (2) ◽  
pp. 66-90 ◽  
Author(s):  
Y. Nakajima ◽  
Y. Inoue ◽  
H. Ogawa
Keyword(s):  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Acoustic Radiation ◽  
Traffic Noise ◽  
Noise Prediction ◽  
Prediction System ◽  
Tire Noise ◽  
Acoustic Contribution ◽  
Element Method

Abstract Road traffic noise needs to be reduced, because traffic volume is increasing every year. The noise generated from a tire is becoming one of the dominant sources in the total traffic noise because the engine noise is constantly being reduced by the vehicle manufacturers. Although the acoustic intensity measurement technology has been enhanced by the recent developments in digital measurement techniques, repetitive measurements are necessary to find effective ways for noise control. Hence, a simulation method to predict generated noise is required to replace the time-consuming experiments. The boundary element method (BEM) is applied to predict the acoustic radiation caused by the vibration of a tire sidewall and a tire noise prediction system is developed. The BEM requires the geometry and the modal characteristics of a tire which are provided by an experiment or the finite element method (FEM). Since the finite element procedure is applied to the prediction of modal characteristics in a tire noise prediction system, the acoustic pressure can be predicted without any measurements. Furthermore, the acoustic contribution analysis obtained from the post-processing of the predicted results is very helpful to know where and how the design change affects the acoustic radiation. The predictability of this system is verified by measurements and the acoustic contribution analysis is applied to tire noise control.

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