Some considerations on numerical experiments of thermal convection in the northern part of lake Biwa by means of stochastic model

2009 ◽  
Author(s):  
F. P. Malembeka ◽  
T. Isono ◽  
T. Hosoda
Keyword(s):  
Stochastic Model ◽  
Thermal Convection ◽  
Numerical Experiments ◽  
Lake Biwa

scholarly journals A Spectral Solenoidal-Galerkin Method for Rotating Thermal Convection between Rigid Plates

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Cihan Yıldırım ◽  
Durmuş Yarımpabuç ◽  
Hakan I. Tarman
Keyword(s):  
Differential Equations ◽  
Thermal Convection ◽  
Parametric Study ◽  
Numerical Experiments ◽  
Spectral Representation ◽  
Basis Functions ◽  
Galerkin Procedure ◽  
Governing System ◽  
Dependent Variables ◽  
Nonlinear Simulations

The problem of thermal convection between rotating rigid plates under the influence of gravity is treated numerically. The approach uses solenoidal basis functions and their duals which are divergence free. The representation in terms of the solenoidal bases provides ease in the implementation by a reduction in the number of dependent variables and equations. A Galerkin procedure onto the dual solenoidal bases is utilized in order to reduce the governing system of partial differential equations to a system of ordinary differential equations for subsequent parametric study. The Galerkin procedure results in the elimination of the pressure and is facilitated by the use of Fourier-Legendre spectral representation. Numerical experiments on the linear stability of rotating thermal convection and nonlinear simulations are performed and satisfactorily compared with the literature.

A STOCHASTIC MODEL FOR HYBRID MAINTENANCE POLICIES EVALUATION AND OPTIMIZATION

2001 ◽  
Vol 08 (03) ◽  
pp. 233-248 ◽  
Author(s):  
BRUNO CASTANIER ◽  
ANTOINE GRALL ◽  
CHRISTOPHE BÉRENGUER
Keyword(s):  
Stochastic Process ◽  
Stochastic Model ◽  
Average Cost ◽  
Numerical Experiments ◽  
System State ◽  
Maintenance Policy ◽  
Long Run ◽  
Running Cost ◽  
Maintenance Policies ◽  
The Cost

We propose a hybrid maintenance policy which combines periodic (age-based or time-based) regulation-based inspections with aperiodic condition-based inspection/replacements for a stochastically and gradually deteriorating system. The stationary laws of the deterioration state of the maintained system are derived in order to evaluate the long-run average running cost on an infinite span generated by the proposed combined policy. A computable expression of the average cost is established using the regenerative or semi-regenerative properties of the stochastic process describing the maintained system state. The behavior of the proposed maintenance is illustrated through numerical experiments and it is shown that the cost incurred by the optimized combined policy is lower than the cost generated by the regulation-based maintenance alone.

Sign in / Sign up

Export Citation Format

Share Document