A novel fully-implicit finite volume method applied to the lid-driven cavity problem?Part II: Linear stability analysis

2003 ◽  
Vol 42 (1) ◽  
pp. 79-88 ◽  
Author(s):  
Mehmet Sahin ◽  
Robert G. Owens
Keyword(s):  
Stability Analysis ◽  
Finite Volume Method ◽  
Linear Stability ◽  
Finite Volume ◽  
Linear Stability Analysis ◽  
Driven Cavity ◽  
Fully Implicit ◽  
Volume Method

LINEAR STABILITY ANALYSIS GENERALIZED TO A THERMALLY-DRIVEN FLOW

1999 ◽  
Vol 09 (02) ◽  
pp. 415-425
Author(s):  
JEAN-MICHEL CORNET ◽  
CLAUDE-HENRI LAMARQUE
Keyword(s):  
Stability Analysis ◽  
Numerical Methods ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
The Other ◽  
Basic Solution ◽  
Driven Cavity ◽  
Convective Flows ◽  
Other Hand ◽  
Thermally Driven

We intend to establish a methodology suited to the search of the first bifurcations of convective flows using a linear stability analysis so that it permits us to define a relationship between amplitude and frequency of the perturbation. We use a particular combination of various numerical methods to compute on one hand the basic solution. On the other hand the perturbation is applied to the search for the bifurcations in a thermally-driven cavity.

Fully-implicit finite volume method for the ideal two-fluid plasma model

2018 ◽  
Vol 231 ◽  
pp. 31-44 ◽  
Author(s):  
A. Alvarez Laguna ◽  
N. Ozak ◽  
A. Lani ◽  
H. Deconinck ◽  
S. Poedts
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Plasma Model ◽  
Fully Implicit ◽  
Volume Method ◽  
Two Fluid ◽  
Two Fluid Plasma ◽  
The Ideal

scholarly journals Simulation of Transient Flow in Gas Pipelines Using the Finite Volume Method

2020 ◽  
Vol 7 (2) ◽  
pp. 17-26
Author(s):  
Pedro Quintela ◽  
Jean Carlos Pérez Parra ◽  
Lelly Useche Castro ◽  
Miguel Lapo Palacios
Keyword(s):  
Natural Gas ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Transient Flow ◽  
Flow Analysis ◽  
Gas Pipeline ◽  
Gas Pipelines ◽  
Natural Gas Pipeline ◽  
Fully Implicit ◽  
Volume Method

The transient flow analysis is fundamental to the simulation of natural gas process, in order to adjust the system to real operative conditions and to obtain the highest level of efficiency, compliance and reliability. The simulation of natural gas pipelines and networks requires mathematical models that describe flow properties. Some models that have been developed year after year based on the laws of fluid mechanics that govern this process, interpreted as a system of equations difficult to solve. This investigation describes the fully implicit finite volume method for natural gas pipeline flow calculation under isothermal conditions and transient regime. The simplification, discretization scheme and implementation equations are approached throughout this paper. The model was subjected to two evaluations: sinusoidal variation of the mass flow and opening-closing valve at the outlet of the pipeline, it is compared with two models: fully implicit finite difference method and method of characteristics. This method proved to be efficient in the simulations of slow and fast transients, coinciding the flow oscillations with the natural frequency of natural gas pipeline.  

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