ON THE COMPUTATIONAL STABILITY OF NUMERICAL SOLUTIONS OF TIME-DEPENDENT NON-LINEAR GEOPHYSICAL FLUID DYNAMICS PROBLEMS

1965 ◽  
Vol 93 (1) ◽  
pp. 11-25 ◽  
Author(s):  
DOUGLAS K. LILLY
Keyword(s):  
Fluid Dynamics ◽  
Numerical Solutions ◽  
Time Dependent ◽  
Geophysical Fluid Dynamics ◽  
Computational Stability ◽  
Non Linear ◽  
Dynamics Problems

Multi-Mode Study of Time-Dependent Thermal Convection With Hexagonal Planforms

1984 ◽  
Vol 5 (4) ◽  
pp. 483-487 ◽  
Author(s):  
J. M. Lopez ◽  
J. O. Murphy
Keyword(s):  
Magnetic Fields ◽  
Time Dependence ◽  
Thermal Convection ◽  
Numerical Solutions ◽  
Three Dimensional ◽  
Time Dependent ◽  
Flexible Approach ◽  
Large Density ◽  
Non Linear ◽  
Multi Mode

Truncated modal expansions have provided a powerful, reasonably accurate and flexible approach to the problem of non-linear thermal convection. They permit tractable numerical solutions of three-dimensional cellular motions, as well as readily accommodating large density variations, time dependence, rotation and magnetic fields.

scholarly journals GeophysicalFlows.jl: Solvers for geophysical fluid dynamics problems in periodic domains on CPUs GPUs

2021 ◽  
Vol 6 (60) ◽  
pp. 3053
Author(s):  
Navid Constantinou ◽  
Gregory Wagner ◽  
Lia Siegelman ◽  
Brodie Pearson ◽  
André Palóczy
Keyword(s):  
Fluid Dynamics ◽  
Geophysical Fluid Dynamics ◽  
Periodic Domains ◽  
Dynamics Problems

Interdisciplinary Research Programs in Geophysical Fluid Dynamics

2006 ◽  
Author(s):  
John A. Whitehead ◽  
Neil J. Balmforth ◽  
Philip J. Morrison
Keyword(s):  
Fluid Dynamics ◽  
Interdisciplinary Research ◽  
Geophysical Fluid Dynamics ◽  
Research Programs

Interdisciplinary Research Programs in Geophysical Fluid Dynamics

2008 ◽  
Author(s):  
John A. Whitehead ◽  
Neil J. Balmforth ◽  
Philip J. Morrison
Keyword(s):  
Fluid Dynamics ◽  
Interdisciplinary Research ◽  
Geophysical Fluid Dynamics ◽  
Research Programs

scholarly journals Non-Linear Langevin and Fractional Fokker–Planck Equations for Anomalous Diffusion by Lévy Stable Processes

Entropy ◽  
2018 ◽  
Vol 20 (10) ◽  
pp. 760 ◽  
Author(s):  
Johan Anderson ◽  
Sara Moradi ◽  
Tariq Rafiq
Keyword(s):  
Anomalous Diffusion ◽  
Transport Coefficient ◽  
Numerical Solutions ◽  
Distribution Functions ◽  
Space Distribution ◽  
Non Linear ◽  
Non Local ◽  
Local Transport ◽  
Fokker Planck Equations ◽  
Fokker Planck

The numerical solutions to a non-linear Fractional Fokker–Planck (FFP) equation are studied estimating the generalized diffusion coefficients. The aim is to model anomalous diffusion using an FFP description with fractional velocity derivatives and Langevin dynamics where Lévy fluctuations are introduced to model the effect of non-local transport due to fractional diffusion in velocity space. Distribution functions are found using numerical means for varying degrees of fractionality of the stable Lévy distribution as solutions to the FFP equation. The statistical properties of the distribution functions are assessed by a generalized normalized expectation measure and entropy and modified transport coefficient. The transport coefficient significantly increases with decreasing fractality which is corroborated by analysis of experimental data.

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