Numerical simulation of a new set of fully nonlinear Boussinesq wave equations

2011 ◽  
Author(s):  
Jinpeng Hu ◽  
Yunqiu Zhang
Keyword(s):  
Numerical Simulation ◽  
Wave Equations ◽  
Fully Nonlinear

Meshless numerical simulation for fully nonlinear water waves

2005 ◽  
Vol 50 (2) ◽  
pp. 219-234 ◽  
Author(s):  
Nan-Jing Wu ◽  
Ting-Kuei Tsay ◽  
D. L. Young
Keyword(s):  
Numerical Simulation ◽  
Water Waves ◽  
Nonlinear Water Waves ◽  
Fully Nonlinear

scholarly journals Interaction of Solitons for Sine-Gordon-Type Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Georgii A. Omel’yanov ◽  
Israel Segundo-Caballero
Keyword(s):  
Numerical Simulation ◽  
Asymptotic Analysis ◽  
Small Parameter ◽  
Wave Equations ◽  
Gordon Equation ◽  
Sine Gordon Equation ◽  
Semilinear Wave Equations ◽  
The Subject ◽  
Interaction Of Solitons

The subject of our consideration is a family of semilinear wave equations with a small parameter and nonlinearities which provide the existence of kink-type solutions (solitons). Using asymptotic analysis and numerical simulation, we demonstrate that solitons of the same type (kinks or antikinks) interact in the same manner as for the sine-Gordon equation. However, solitons of the different type preserve the shape after the interaction only in the case of two or three waves, and, moreover, under some additional conditions.

Study on Stress-Velocity Elastic with 2.5D Numerical Simulation for Wavefields of Cross-Hole Seismic in Anisotropy Heterogeneous Medium

2013 ◽  
Vol 703 ◽  
pp. 190-194
Author(s):  
Bao Tong Liu
Keyword(s):  
Numerical Simulation ◽  
Field Data ◽  
Wave Equations ◽  
Heterogeneous Medium ◽  
Synthetic Data ◽  
Stagger Grid ◽  
First Order ◽  
Elastic Wave Equations ◽  
Order Stress ◽  
2D Space

Numerical simulation is an effective approach for identifying and analyzing elastic wavefields in subsurface. From the first-order stress-velocity elastic wave equations in VTI medium, this paper use high-order stagger-grid finite-difference scheme to compute 3C wavefields in 2D space, performing 2.5D simulation. A method of establishing geological model is presented. Boundary reflections are suppressed successfully by PML. Characteristics of synthetic data by this method are coincident with field data in both kinematics and dynamics

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