Parallel Computation of a Fully Implicit Finite Volume Method using Different Ordering Strategies

2004 ◽  
Author(s):  
Masoud Darbandi ◽  
Gerry Schneider ◽  
Seyed Mehdi Bostandoost
Keyword(s):  
Finite Volume Method ◽  
Parallel Computation ◽  
Finite Volume ◽  
Fully Implicit ◽  
Volume Method ◽  
Ordering Strategies

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.  

scholarly journals Numerical modeling of groundwater flow based on explicit and fully implicit schemes of finite volume method

2021 ◽  
Vol 9 (4B) ◽  
Author(s):  
Hüseyin Y. DALKILIÇ ◽  
◽  
Amin GHAREHBAGHI ◽  
Keyword(s):  
Groundwater Flow ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Water Table ◽  
Governing Equation ◽  
Unconfined Aquifer ◽  
Simulation Process ◽  
Water Table Fluctuations ◽  
Fully Implicit ◽  
Volume Method

This paper documents a novel numerical model for calculating the behavior of unsteady, one-dimensional groundwater flow by using the finite volume method. The developed model determined water table fluctuations for different scenarios as follows: Drainage and recession from an unconfined aquifer, and water table fluctuations above an inclined leaky layer due to ditch recharge with a constant and variable upper boundary condition. The Boussinesq equation, which is the governing equation in this domain, is linearized and solved numerically in both of the explicit and fully implicit conditions. Meanwhile, the upwind scheme is employed to discretize the governing equation. The computed outcomes of both the explicit and implicit approaches agreed well with the results of analytical solution and laboratory experiments. The main reason is that in the first half of simulation process explicit scheme obtains slightly better results and in the second half of the simulation process fully implicit scheme predicts more reliable outcomes that are hidden in the neighbor node points. As a final point, the numerical outcomes confirm that the developed model is capable of calculating satisfactory outcomes in engineering and science applications.

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