Linear and non-linear stability analysis for finite difference discretizations of high-order Boussinesq equations

2004 ◽  
Vol 45 (7) ◽  
pp. 751-773 ◽  
Author(s):  
David R. Fuhrman ◽  
Harry B. Bingham ◽  
Per A. Madsen ◽  
Per G. Thomsen
Keyword(s):  
Stability Analysis ◽  
Finite Difference ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Boussinesq Equations ◽  
High Order ◽  
Non Linear

scholarly journals Effect of Variable Viscosity and Gravity Modulation on Linear and Non-Linear Rayleigh-Benard Convection in Viscoelastic Ferromagnetic Liquids

2020 ◽  
Vol 9 (3) ◽  
pp. 3482-3488
Keyword(s):  
Stability Analysis ◽  
Heat Transport ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Variable Viscosity ◽  
Low Frequency ◽  
Physical Parameters ◽  
Gravity Modulation ◽  
Non Linear ◽  
The Individual

The combined effect of various parameters of gravity modulation on the onset of ferroconvection is studied for both linear and non-linear stability. The effect of various parameters of ferroconvection is studied for linear stability analysis. The resulting seven-mode generalized Lorenz model obtained in non-linear stability analysis is solved using Runge -Kutta-Felberg 45 method to analyze the heat transfer. Consequently the individual effect of gravity modulation on heat transport has been investigated. Further, the effect of physical parameters on heat transport has been analyzed and depicted graphically. The low-frequency gravity modulation is observed to get an effective influence on the stability of the system. Therefore ferro convection can be advanced or delayed by controlling different governing parameters. It shows that the influence of gravity modulation stabilizes system.

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