2018
DOI: 10.2516/ogst/2018013
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Adaptive implicit finite difference method for natural gas pipeline transient flow

Abstract: The implicit finite difference method is one of the most widely applied methods for transient natural gas simulation. However, this implicit method is associated with high computational cost. To improve the simulation efficiency of implicit finite difference method, an adaptive strategy is introduced into the simulation process. The proposed adaptive strategy consists of the adaptive time step strategy and the adaptive spatial grid strategy. And these two parts are implemented based on the local error techniqu… Show more

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Cited by 14 publications
(14 citation statements)
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References 34 publications
(55 reference statements)
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“…Dataset analysis indicates that the algorithms would have generated the rate of change alarm for the attacking event. This dataset does exercise the full capabilities of the application, as the simultaneous pressure drop off all inputs would be obvious to the gas controller using standard rate of change for attacking situation generation [8]; however, the application does ensure it will not be missed, and provides additional confirmation of the intrusion event. A first stage previous to the analysis, covers the data collection of the gas pipeline variation consumption of demand of gas and also the pipeline PSI and delta pipeline PSI characteristics, understanding how the data is presented and reshape it at convenience for the study.…”
Section: Methodsmentioning
confidence: 99%
“…Dataset analysis indicates that the algorithms would have generated the rate of change alarm for the attacking event. This dataset does exercise the full capabilities of the application, as the simultaneous pressure drop off all inputs would be obvious to the gas controller using standard rate of change for attacking situation generation [8]; however, the application does ensure it will not be missed, and provides additional confirmation of the intrusion event. A first stage previous to the analysis, covers the data collection of the gas pipeline variation consumption of demand of gas and also the pipeline PSI and delta pipeline PSI characteristics, understanding how the data is presented and reshape it at convenience for the study.…”
Section: Methodsmentioning
confidence: 99%
“…The continuity and momentum equations are so-called flow equations, and the energy equation is a so-called thermodynamic equation. These equations can be written in a general form [24][25][26]31], as shown in Equation 1, and 50the parameters of the general form are given in Table 1. The detailed process of transformations and the parameter expressions of Equation (1) can be found in Appendix A:…”
Section: Pipeline Modelmentioning
confidence: 99%
“…In each multi-component interconnection node, the laws of mass conservation, the equality of pressure, and the equality of gas temperature must be observed [12,20,26,28,31]. The corresponding mathematical models are represented by Equations (9) to (10).…”
Section: Multi-component Interconnection Node Modelmentioning
confidence: 99%
“…La principal ventaja del MDF explícito es que para alcanzar la solución no requiere formar y solucionar sistemas de ecuaciones. Los MDFs implícitos (como el método de Preissmann MDFI y otros) son incondicionalmente estables, permitiendo, al menos en teoría, el uso de incrementos temporales mayores que los exigidos en los métodos explícitos, pudiendo trabajar con mallas espacio-tiempo relativamente gruesas, es decir, con ∆t y ∆x de mayor tamaño (Wang et al, 2018). Sin embargo, en el MDFI la necesidad de aproximar los diferenciales por diferencias finitas limita el tamaño de los incrementos de tiempo a valores comparables con los requeridos en los métodos explícitos (Chaudhry, 1979).…”
Section: Métodos De Diferencias Finitas (Mdf)unclassified