Numerical Simulation of Transient Flow in Products Pipeline

2013 ◽  
Vol 732-733 ◽  
pp. 487-490
Author(s):  
Zhen Ye Wang ◽  
Jiang Fei Li ◽  
Lian Yuan ◽  
Zhi Zhong Fu ◽  
Bo Li ◽  
...  

In this paper, explicit difference scheme, implicit difference scheme and characteristics method are separately used to simulate the transient flow in products pipeline. The simulation result can be used to prevent water hammer in the pipeline of unsteady situation and to improve the efficiency and safety in oil transmission systems. And then, the stability and accuracy of the three methods are compared by adopting different time steps. For explicit difference method, large fluctuation may occur in case of large time step. For implicit method, the result is weakly affected by time step, only if the relaxation factor selected is reasonable. For characteristics method, the results have a high convergence speed and precision. The results show that, in the situation of valve shut down in terminal, it takes about 1.1×104 seconds to return to a new steady state.

2016 ◽  
Vol 8 (6) ◽  
pp. 992-1003 ◽  
Author(s):  
Zhengru Zhang ◽  
Yuanzi Ma

AbstractThe main purpose of this work is to contrast and analyze a large time-stepping numerical method for the Swift-Hohenberg (SH) equation. This model requires very large time simulation to reach steady state, so developing a large time step algorithm becomes necessary to improve the computational efficiency. In this paper, a semi-implicit Euler schemes in time is adopted. An extra artificial term is added to the discretized system in order to preserve the energy stability unconditionally. The stability property is proved rigorously based on an energy approach. Numerical experiments are used to demonstrate the effectiveness of the large time-stepping approaches by comparing with the classical scheme.


2016 ◽  
Vol 54 (5) ◽  
pp. 2775-2798 ◽  
Author(s):  
Sofia Lindqvist ◽  
Peder Aursand ◽  
Tore Flåtten ◽  
Anders Aase Solberg

2016 ◽  
Vol 23 (3) ◽  
pp. 032501 ◽  
Author(s):  
R. Kleiber ◽  
R. Hatzky ◽  
A. Könies ◽  
A. Mishchenko ◽  
E. Sonnendrücker

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