scholarly journals An iterative three-dimensional parabolic equation solver for propagation above irregular boundaries

2020 ◽  
Vol 148 (2) ◽  
pp. 1089-1100
Author(s):  
Codor Khodr ◽  
Mahdi Azarpeyvand ◽  
David N. Green
Keyword(s):  
Parabolic Equation ◽  
Three Dimensional ◽  
Irregular Boundaries

Underwater acoustic energy fluctuations during strong internal wave activity using a three-dimensional parabolic equation model

2019 ◽  
Vol 146 (3) ◽  
pp. 1875-1887 ◽  
Author(s):  
Georges A. Dossot ◽  
Kevin B. Smith ◽  
Mohsen Badiey ◽  
James H. Miller ◽  
Gopu R. Potty
Keyword(s):  
Parabolic Equation ◽  
Internal Wave ◽  
Three Dimensional ◽  
Equation Model ◽  
Wave Activity ◽  
Acoustic Energy ◽  
Underwater Acoustic

scholarly journals Combination of the Improved Diffraction Nonlocal Boundary Condition and Three-Dimensional Wide-Angle Parabolic Equation Decomposition Model for Predicting Radio Wave Propagation

2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Ruidong Wang ◽  
Guizhen Lu ◽  
Rongshu Zhang ◽  
Weizhang Xu
Keyword(s):  
Boundary Condition ◽  
Wave Propagation ◽  
Parabolic Equation ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Three Dimensional ◽  
Wide Angle ◽  
Computational Accuracy ◽  
Decomposition Model ◽  
Convolution Integrals

Diffraction nonlocal boundary condition (BC) is one kind of the transparent boundary condition which is used in the finite-difference (FD) parabolic equation (PE). The greatest advantage of the diffraction nonlocal boundary condition is that it can absorb the wave completely by using one layer of grid. However, the speed of computation is low because of the time-consuming spatial convolution integrals. To solve this problem, we introduce the recursive convolution (RC) with vector fitting (VF) method to accelerate the computational speed. Through combining the diffraction nonlocal boundary with RC, we achieve the improved diffraction nonlocal BC. Then we propose a wide-angle three-dimensional parabolic equation (WA-3DPE) decomposition algorithm in which the improved diffraction nonlocal BC is applied and we utilize it to predict the wave propagation problems in the complex environment. Numeric computation and measurement results demonstrate the computational accuracy and speed of the WA-3DPE decomposition model with the improved diffraction nonlocal BC.

Three-dimensional parabolic equation model for low frequency sound propagation in irregular urban canyons

2015 ◽  
Vol 137 (1) ◽  
pp. 310-320 ◽  
Author(s):  
Jean-Baptiste Doc ◽  
Bertrand Lihoreau ◽  
Simon Félix ◽  
Cédric Faure ◽  
Guillaume Dubois
Keyword(s):  
Parabolic Equation ◽  
Sound Propagation ◽  
Three Dimensional ◽  
Low Frequency ◽  
Equation Model ◽  
Frequency Sound

scholarly journals Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Xiaomei Hu
Keyword(s):  
Parabolic Equation ◽  
Initial Data ◽  
Error Estimates ◽  
Three Dimensional ◽  
Semilinear Parabolic Equation ◽  
Energy Methods ◽  
Analysis Technique ◽  
Whole Space ◽  
Fourier Analysis Technique ◽  
Semilinear Parabolic

This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial datau0∈L2(ℝ3). Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution of the semilinear parabolic equation and that of linear heat equation has the behavior asO((1+t)−3/8).

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