scholarly journals Direct numerical simulation for non-equilibrium transport phenomena in superconducting detectors

2012 ◽  
Vol 27 ◽  
pp. 352-355 ◽  
Author(s):  
Y. Ota ◽  
K. Kobayashi ◽  
M. Machida ◽  
T. Koyama ◽  
F. Nori
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Transport Phenomena ◽  
Superconducting Detectors ◽  
Non Equilibrium

scholarly journals Existence of the solitary wave solutions supported by the modified FitzHugh–Nagumo system

2020 ◽  
Vol 25 (3) ◽  
Author(s):  
Aleksandra Gawlik ◽  
Vsevolod Vladimirov ◽  
Sergii Skurativskyi
Keyword(s):  
Numerical Simulation ◽  
Solitary Wave ◽  
Differential Equations ◽  
Direct Numerical Simulation ◽  
Nonlinear Differential Equations ◽  
Transport Phenomena ◽  
Nerve Impulse ◽  
Theoretical Studies ◽  
Solitary Wave Solutions ◽  
Wave Solutions

We study a system of nonlinear differential equations simulating transport phenomena in active media. The model we are interested in is a generalization of the celebrated FitzHugh–Nagumo system describing the nerve impulse propagation in axon. The modeling system is shown to possesses soliton-like solutions under certain restrictions on the parameters. The results of theoretical studies are backed by the direct numerical simulation.

Related self-similar statistics of the turbulent/non-turbulent interface and the turbulence dissipation

2017 ◽  
Vol 821 ◽  
pp. 440-457 ◽  
Author(s):  
Y. Zhou ◽  
J. C. Vassilicos
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Turbulent Flows ◽  
Dissipation Rate ◽  
Turbulent Wake ◽  
Entrainment Velocity ◽  
Self Similar ◽  
Non Equilibrium

The scalings of the local entrainment velocity$v_{n}$of the turbulent/non-turbulent interface and of the turbulence dissipation rate are closely related to each other in an axisymmetric and self-similar turbulent wake. The turbulence dissipation scaling implied by the Kolmogorov equilibrium cascade phenomenology is consistent with a Kolmogorov scaling of$v_{n}$whereas the non-equilibrium dissipation scaling reported for various turbulent flows in Vassilicos (Annu. Rev. Fluid Mech., vol. 47, 2015, pp. 95–114), Dairayet al.(J. Fluid Mech., vol. 781, 2015, pp. 166–195), Goto & Vassilicos (Phys. Lett. A, vol. 379 (16), 2015, pp. 1144–1148) and Obligadoet al.(Phys. Rev. Fluids, vol. 1 (4), 2016, 044409) is consistent with a different scaling of $v_{n}$. We present results from a direct numerical simulation of a spatially developing axisymmetric and self-similar turbulent wake which supports this conclusion and the assumptions that it is based on.

scholarly journals Nonlinear evolution of singular disturbances to a tanh3y mixing layer

2002 ◽  
Vol 43 (3) ◽  
pp. 409-427
Author(s):  
S. Saujani ◽  
J. Drozd ◽  
R. Mallier
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Nonlinear Evolution ◽  
Mixing Layer ◽  
Nonlinear Effects ◽  
Critical Layer ◽  
Linear Basis ◽  
Layer Analysis ◽  
Derivatives Of ◽  
Non Equilibrium

AbstractWe consider the nonlinear evolution of a disturbance to a mixing layer, with the base profile given by u0(y) = tanh3y rather than the more usual tanh y, so that the first two derivatives of u0 vanish at y = 0. This flow admits three neutral modes, each of which is singular at the critical layer. Using a non-equilibrium nonlinear critical layer analysis, equations governing the evolution of the disturbance are derived and discussed. We find that the disturbance cannot exist on a linear basis, but that nonlinear effects inside the critical layer do permit the disturbance to exist. We also present results of a direct numerical simulation of this flow and briefly discuss the connection between the theory and the simulation.

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