Validation of a finite-difference acoustic propagation model of transcranial ultrasound

2012 ◽  
Vol 132 (3) ◽  
pp. 1927-1927
Author(s):  
Guillaume Bouchoux ◽  
Kenneth B. Bader ◽  
Joseph J. Korfhagen ◽  
Jason L. Raymond ◽  
Shivashankar Ravishankar ◽  
...  
Keyword(s):  
Finite Difference ◽  
Acoustic Propagation ◽  
Propagation Model ◽  
Transcranial Ultrasound

Flow-dependent modeling of acoustic propagation based on DG-FEM method

2021 ◽  
Author(s):  
Zichen Wang ◽  
Jian Xu ◽  
Xuefeng Zhang ◽  
Can Lu ◽  
Kangkang Jin ◽  
...  
Keyword(s):  
Sound Propagation ◽  
Transmission Loss ◽  
Acoustic Propagation ◽  
Water Area ◽  
Current Speed ◽  
Propagation Model ◽  
Propagation Loss ◽  
Two Dimensional ◽  
Underwater Sound ◽  
Ocean Environment

AbstractThis paper proposes a two-dimensional underwater sound propagation model using the Discontinuous Galerkin Finite Element Method (DG-FEM) to investigate the influence of current on sound propagation. The acoustic field is calculated by the convected wave equation with the current speed parameter. Based on the current speed data from an assimilation model, a two-dimensional coupled acoustic propagation model in the Fram Strait water area is established to observe the variability in propagation loss under different seasonal velocities in the real ocean environment. The transmission loss and signal time structure are examined. The results obtained in different source frequencies are also compared. It appears that the current velocity, time and range variation all have an effect on underwater sound propagation.

Horizontal multipath in transoceanic acoustic propagation: Model results and data.

1991 ◽  
Vol 90 (4) ◽  
pp. 2347-2347
Author(s):  
B. E. McDonald ◽  
W. A. Kuperman ◽  
K. Heaney
Keyword(s):  
Acoustic Propagation ◽  
Propagation Model

Finite difference beam propagation model for tapered waveguide with intracavity lens

2001 ◽  
Author(s):  
Atef M. Rashed ◽  
Kevin A. Williams ◽  
Richard V. Penty ◽  
Ian H. White
Keyword(s):  
Finite Difference ◽  
Beam Propagation ◽  
Propagation Model ◽  
Tapered Waveguide

scholarly journals NONSTANDARD FINITE DIFFERENCE SCHEMES FOR SOLVING A MODIFIED EPIDEMIOLOGICAL MODEL FOR COMPUTER VIRUSES

2018 ◽  
Vol 34 (2) ◽  
pp. 171-185 ◽  
Author(s):  
Tuan Manh Hoang ◽  
A Quang Dang ◽  
Long Quang Dang
Keyword(s):  
Finite Difference ◽  
Numerical Simulations ◽  
Fourth Order ◽  
Continuous Model ◽  
Propagation Model ◽  
Finite Difference Schemes ◽  
Virus Propagation ◽  
Order Of Accuracy ◽  
Essential Properties ◽  
Nonstandard Finite Difference

In this paper we construct two families of nonstandard finite difference (NSFD) schemes preserving the essential properties of a computer virus propagation model, such as positivity, boundedness and stability. The first family of NSFD schemes is constructed based on the nonlocal discretization and has first order of accuracy, while the second one is based on the combination of a classical Runge-Kutta method and selection of a nonstandard denominator function and it is of fourth order of accuracy. The theoretical study of these families of NSFD schemes is performed with support of numerical simulations. The numerical simulations confirm the accuracy and the efficiency of the fourth order NSFD schemes. They hint that the disease-free equilibrium point is not only locally stable but also globally stable, and then this fact is proved theoretically. The experimental results also show that the global stability of the continuous model is preserved.

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