A Petrov–Galerkin spectral method for the numerical simulation and analysis of fractional anomalous diffusion

2020 ◽  
Vol 44 (2) ◽  
pp. 2021-2032
Author(s):  
Mostafa Jani ◽  
Esmail Babolian ◽  
Dambaru Bhatta
Keyword(s):  
Numerical Simulation ◽  
Spectral Method ◽  
Anomalous Diffusion ◽  
Galerkin Spectral Method

scholarly journals Direct Numerical Simulation in Two Dimensional Homogeneous Isotropic Turbulence Using Spectral Method

2013 ◽  
Vol 5 (3) ◽  
pp. 435-445
Author(s):  
M. S. I. Mallik ◽  
M. A. Uddin ◽  
M. A. Rahman
Keyword(s):  
Numerical Simulation ◽  
Reynolds Number ◽  
Flow Field ◽  
Direct Numerical Simulation ◽  
Spectral Method ◽  
Isotropic Turbulence ◽  
Qualitative Behavior ◽  
Two Dimensional ◽  
Homogeneous Isotropic Turbulence ◽  
Decaying Turbulence

Direct numerical simulation (DNS) in two-dimensional homogeneous isotropic turbulence is performed by using the Spectral method at a Reynolds number Re = 1000 on a uniformly distributed grid points. The Reynolds number is low enough that the computational grid is capable of resolving all the possible turbulent scales. The statistical properties in the computed flow field show a good agreement with the qualitative behavior of decaying turbulence. The behavior of the flow structures in the computed flow field also follow the classical idea of the fluid flow in turbulence. Keywords: Direct numerical simulation, Isotropic turbulence, Spectral method. © 2013 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. doi:http://dx.doi.org/10.3329/jsr.v5i3.12665 J. Sci. Res. 5 (3), 435-445 (2013)  

A Legendre-Galerkin spectral method for constructing atmospheric acoustic normal modes

2018 ◽  
Vol 143 (6) ◽  
pp. 3595-3601 ◽  
Author(s):  
Richard B. Evans ◽  
Xiao Di ◽  
Kenneth E. Gilbert
Keyword(s):  
Spectral Method ◽  
Normal Modes ◽  
Galerkin Spectral Method
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