Capabilities and features of the “HIFU beam” nonlinear modeling tool for axially symmetric acoustic fields generated by focused therapeutic transducers in layered media

2021 ◽  
Vol 150 (4) ◽  
pp. A165-A165
Author(s):  
Petr V. Yuldashev ◽  
Maria M. Karzova ◽  
Wayne Kreider ◽  
Pavel Rosnitskiy ◽  
Oleg A. Sapozhnikov ◽  
...  
Keyword(s):  
Nonlinear Modeling ◽  
Layered Media ◽  
Acoustic Fields ◽  
Axially Symmetric ◽  
Modeling Tool

Nonlinear modeling of focused acoustic fields

1999 ◽  
Vol 106 (4) ◽  
pp. 2173-2173
Author(s):  
B. Edward McDonald ◽  
William A. Kuperman
Keyword(s):  
Nonlinear Modeling ◽  
Acoustic Fields

Solar Internal Rotation and Dynamo Waves: A Two-Dimensional Asymptotic Solution in the Convection Zone

2000 ◽  
Vol 179 ◽  
pp. 379-380
Author(s):  
Gaetano Belvedere ◽  
Kirill Kuzanyan ◽  
Dmitry Sokoloff
Keyword(s):  
Magnetic Field ◽  
Asymptotic Solution ◽  
Internal Rotation ◽  
Convection Zone ◽  
General Idea ◽  
Dynamo Model ◽  
Axially Symmetric ◽  
Dynamo Action ◽  
Regeneration Rate ◽  
Dynamo Waves

Extended abstractHere we outline how asymptotic models may contribute to the investigation of mean field dynamos applied to the solar convective zone. We calculate here a spatial 2-D structure of the mean magnetic field, adopting real profiles of the solar internal rotation (the Ω-effect) and an extended prescription of the turbulent α-effect. In our model assumptions we do not prescribe any meridional flow that might seriously affect the resulting generated magnetic fields. We do not assume apriori any region or layer as a preferred site for the dynamo action (such as the overshoot zone), but the location of the α- and Ω-effects results in the propagation of dynamo waves deep in the convection zone. We consider an axially symmetric magnetic field dynamo model in a differentially rotating spherical shell. The main assumption, when using asymptotic WKB methods, is that the absolute value of the dynamo number (regeneration rate) |D| is large, i.e., the spatial scale of the solution is small. Following the general idea of an asymptotic solution for dynamo waves (e.g., Kuzanyan & Sokoloff 1995), we search for a solution in the form of a power series with respect to the small parameter |D|–1/3(short wavelength scale). This solution is of the order of magnitude of exp(i|D|1/3S), where S is a scalar function of position.

Unstable axially symmetric mhd flow between rotating boundaries

2001 ◽  
Vol 7 (2s) ◽  
pp. 19-25
Author(s):  
A.A. Loginov ◽  
◽  
Yu.I. Samoilenko ◽  
V.A. Tkachenko ◽  
◽  
...  
Keyword(s):  
Mhd Flow ◽  
Axially Symmetric
Sign in / Sign up

Export Citation Format

Share Document