Numerical simulation of focused nonlinear acoustic beams: A Fourier continuation direct solver and comparisons to a paraxial approximation.

2011 ◽  
Vol 129 (4) ◽  
pp. 2611-2611
Author(s):  
Robin O. Cleveland ◽  
Theresa Y. Cheung ◽  
Nathan Albin ◽  
Oscar P. Bruno
Keyword(s):  
Numerical Simulation ◽  
Paraxial Approximation ◽  
Direct Solver ◽  
Fourier Continuation ◽  
Acoustic Beams ◽  
Nonlinear Acoustic

scholarly journals Fourier continuation methods for high-fidelity simulation of nonlinear acoustic beams

2012 ◽  
Vol 132 (4) ◽  
pp. 2371-2387 ◽  
Author(s):  
Nathan Albin ◽  
Oscar P. Bruno ◽  
Theresa Y. Cheung ◽  
Robin O. Cleveland
Keyword(s):  
Continuation Methods ◽  
High Fidelity ◽  
High Fidelity Simulation ◽  
Fourier Continuation ◽  
Acoustic Beams ◽  
Nonlinear Acoustic

scholarly journals Numerical treatment of the spatio-temporal electromagnetic beam-wave packet

2017 ◽  
Vol 68 (2) ◽  
pp. 109-116
Author(s):  
L’ubomír Šumichrast ◽  
Jaroslav Franek
Keyword(s):  
Numerical Simulation ◽  
Wave Equation ◽  
Wave Packet ◽  
Paraxial Approximation ◽  
Two Dimensional ◽  
Numerical Treatment ◽  
Beam Wave ◽  
Electromagnetic Beam ◽  
Full Wave ◽  
Spatio Temporal

Abstract Propagation of a two-dimensional spatio-temporal electromagnetic beam wave is analysed. In parabolic (paraxial) approximation the exact analytical results for a spatio-temporal Gaussian impulse can be obtained. For solution of the full wave equation the numerical simulation has to be used. The various facets of this simulation are discussed here.

Source parameters for the numerical simulation of lightning as a nonlinear acoustic source

2014 ◽  
Vol 136 (4) ◽  
pp. 2223-2223
Author(s):  
Andrew Marshall ◽  
Neal Evans ◽  
Chris Hackert ◽  
Karl Oelschlaeger
Keyword(s):  
Numerical Simulation ◽  
Source Parameters ◽  
Acoustic Source ◽  
Nonlinear Acoustic

scholarly journals MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION

2006 ◽  
Vol 16 (05) ◽  
pp. 763-791 ◽  
Author(s):  
FRANCIS FILBET ◽  
ERIC SONNENDRÜCKER
Keyword(s):  
Numerical Simulation ◽  
Analytical Solution ◽  
Space Charge ◽  
Numerical Simulations ◽  
Paraxial Approximation ◽  
Particle Beams ◽  
Mathematical Background ◽  
Code Validation

This work is devoted to the modeling of space charge dominated particle beams in the paraxial approximation with several types of external focusing fields (uniform, periodic and alternating gradient). A solid mathematical background for numerical beam simulation is established. The Kapchinsky–Vladimirsky (KV) distribution which can be matched exactly or numerically to the focusing channel is first studied. Then the matched KV beam is used to approximately match arbitrary beams. Moreover, Waterbag and Maxwell–Boltzmann beams are studied to give analytical solution for code validation. Finally, numerical simulations are presented in different configurations.

Numerical simulation of nonlinear acoustic streaming in a resonator using gas-kinetic scheme

2012 ◽  
Vol 112 (8) ◽  
pp. 083501 ◽  
Author(s):  
Heying Feng ◽  
Xiaoqing Zhang ◽  
Yehui Peng ◽  
Huanxin Chen
Keyword(s):  
Numerical Simulation ◽  
Acoustic Streaming ◽  
Kinetic Scheme ◽  
Nonlinear Acoustic
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