scholarly journals Transient gas pipeline flow: analytical examples, numerical simulation and a comparison to the quasi-static approach

2021 ◽  
Author(s):  
Martin Gugat ◽  
Richard Krug ◽  
Alexander Martin
Keyword(s):  
Numerical Simulation ◽  
High Pressure ◽  
Analytical Solutions ◽  
Transportation Networks ◽  
Dynamical Behavior ◽  
Gas Pipeline ◽  
Optimization Approach ◽  
Pde Model ◽  
Pipeline Flow ◽  
Static Approach

AbstractThe operation of gas pipeline flow with high pressure and small Mach numbers allows to model the flow by a semilinear hyperbolic system of partial differential equations. In this paper we present a number of transient and stationary analytical solutions of this model. They are used to discuss and clarify why a PDE model is necessary to handle certain dynamic situations in the operation of gas transportation networks. We show that adequate numerical discretizations can capture the dynamical behavior sufficiently accurate. We also present examples that show that in certain cases an optimization approach that is based on multi-period optimization of steady states does not lead to approximations that converge to the optimal state.

scholarly journals Numerical simulation on fracture mechanics behavior of high-pressure gas pipeline

2018 ◽  
Vol 21 ◽  
pp. 208-213
Author(s):  
Chong Ji ◽  
Fuyin Gao ◽  
Yang Yu ◽  
Liangyu Cheng ◽  
Ying Liu
Keyword(s):  
Numerical Simulation ◽  
High Pressure ◽  
Fracture Mechanics ◽  
Gas Pipeline

Numerical simulation of transmission of acoustic waves high-pressure system

2007 ◽  
Author(s):  
Josef Foldyna ◽  
Zdeněk Ríha ◽  
Libor Sitek ◽  
Branislav Svehla
Keyword(s):  
Numerical Simulation ◽  
High Pressure ◽  
Acoustic Waves ◽  
Pressure System ◽  
High Pressure System

Nonlinear Dynamics and Application of the Four Dimensional Autonomous Hyper-Chaotic System

2014 ◽  
Author(s):  
Ge Kai ◽  
Wei Zhang
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Simulation ◽  
Differential Equations ◽  
Chaotic System ◽  
Dynamical Behavior ◽  
Three Dimensional ◽  
Phase Portraits ◽  
State Variables ◽  
Chaotic Motions ◽  
Finance System

In this paper, we establish a dynamic model of the hyper-chaotic finance system which is composed of four sub-blocks: production, money, stock and labor force. We use four first-order differential equations to describe the time variations of four state variables which are the interest rate, the investment demand, the price exponent and the average profit margin. The hyper-chaotic finance system has simplified the system of four dimensional autonomous differential equations. According to four dimensional differential equations, numerical simulations are carried out to find the nonlinear dynamics characteristic of the system. From numerical simulation, we obtain the three dimensional phase portraits that show the nonlinear response of the hyper-chaotic finance system. From the results of numerical simulation, it is found that there exist periodic motions and chaotic motions under specific conditions. In addition, it is observed that the parameter of the saving has significant influence on the nonlinear dynamical behavior of the four dimensional autonomous hyper-chaotic system.

Stress Analysis and Strength Checking for High Pressure Gas Pipeline in the Earthquake Rupture Area

2013 ◽  
Vol 470 ◽  
pp. 866-870
Author(s):  
Wei He ◽  
Yan Dong Liu ◽  
Guo Xing Wang
Keyword(s):  
Finite Element ◽  
High Pressure ◽  
Stress Analysis ◽  
Gas Pipeline ◽  
Earthquake Rupture ◽  
Rupture Area ◽  
Pipeline Crossing ◽  
The Way

Based on the actual project example of high pressure gas pipeline crossing earthquake rupture area, the paper shows and explains the way to make stress analysis and strength checking calculation for the high pressure gas pipeline in the earthquake rupture area by the method of finite element.

scholarly journals Complex Dynamical Behavior of a Predator-Prey System with Group Defense

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Jianglin Zhao ◽  
Min Zhao ◽  
Hengguo Yu
Keyword(s):  
Numerical Simulation ◽  
Theoretical Basis ◽  
Dynamical Behavior ◽  
Turing Instability ◽  
Equilibrium Density ◽  
Prey Refuge ◽  
Predator Prey ◽  
Prey System ◽  
Group Defense ◽  
Complex Dynamical Behavior

A diffusive predator-prey system with prey refuge is studied analytically and numerically. The Turing bifurcation is analyzed in detail, which in turn provides a theoretical basis for the numerical simulation. The influence of prey refuge and group defense on the equilibrium density and patterns of species under the condition of Turing instability is explored by numerical simulations, and this shows that the prey refuge and group defense have an important effect on the equilibrium density and patterns of species. Moreover, it can be obtained that the distributions of species are more sensitive to group defense than prey refuge. These results are expected to be of significance in exploration for the spatiotemporal dynamics of ecosystems.

scholarly journals Evaluation of a distributed numerical simulation optimization approach applied to aquifer remediation

2010 ◽  
Vol 1 (1) ◽  
pp. 7-16 ◽  
Author(s):  
Patrícia A.P. Costa ◽  
Eduardo L.M. Garcia ◽  
Bruno Schulze ◽  
Helio J.C. Barbosa
Keyword(s):  
Numerical Simulation ◽  
Simulation Optimization ◽  
Optimization Approach ◽  
Aquifer Remediation
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