Comparison of finite-volume method and method of characteristics for simulating transient flow in natural-gas pipeline

Koo, Bonchan

doi:10.1016/j.jngse.2021.104374

Cited by 21 publications

(7 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The transient models are composed of hyperbolic partial differential equations, which increases the complexity of the model development problem. The hyperbolic partial differential equations can be solved for the network pressure and flow transients by making use of finite difference methods, − finite volume methods (FVM), finite element methods (FEM), , the method of characteristics (MOC), , and spectral element methods (SEM). − …”

Section: Introductionmentioning

confidence: 99%

“…Chaczykowski and Zarodkiewicz developed a pipe network model by making use of an implicit finite difference method in both time and space. Koo made use of an implicit finite volume method and an implicit MOC approach to solve the hyperbolic differential equations. However, implicit methods are not ideal for model based control applications due to the time required to recursively solve the resulting difference equations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Natural Gas Well Production Network State-Space Model Development and Validation for Process Control

Dzedzemane,

Wiid,

le Roux

et al. 2024

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

A transient state-space nonlinear model is developed for a natural gas system fed from multiple gas wellheads. The dynamic models are developed by making use of the spectral element method for pipeline spatial discretization. Wellhead models are integrated into the pipeline models by making use of suitable boundary conditions based on the characteristic compatibility method. The models are validated against a large scale natural gas well production network. The validation shows that the model has a good prediction performance based on a low normalized root-mean-square error of at most 5.08% and a high Pearson correlation coefficient with measured plant data of at least 0.94. The good prediction response of the developed transient models makes them suitable for use in model-based optimal control of natural gas well production networks. The resulting dynamic model can be easily adapted to a gas network of any configuration due to its modular form.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Natural Gas Well Production Network State-Space Model Development and Validation for Process Control

Dzedzemane,

Wiid,

le Roux

et al. 2024

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

show abstract

“…Second, for suddenly applied force the solution has an abrupt propagation velocity front, which is hard to obtain in numerical approach, so the quality of numeric calculation can be evidently demonstrated. Third, this type of equation and solution is very important for practical water hammer analysis and 1-D gas dynamic of multibranched piping systems [16,17].…”

Section: Introductionmentioning

confidence: 99%

Semi-analytical implicit direct time integration scheme on example of 1-D wave propagation problem

Оrynyak

Mazuryk

Tsybulskyi³

2022

Mech. Adv. Technol.

View full text Add to dashboard Cite

The most common approach in dynamic analysis of engineering structures and physical phenomenas consists in finite element discretization and mathematical formulation with subsequent application of direct time integration schemes. The space interpolation functions are usually the same as in static analysis. Here on example of 1-D wave propagation problem the original implicit scheme is proposed, which contains the time interval value explicitly in space interpolation function as results of analytical solution of differential equation for considered moment of time. The displacements (solution) at two previous moments of time are approximated as polynomial functions of position and accounted for as particular solutions of the differential equation. The scheme demonstrates the perfect predictable properties as to dispersion and dissipation. The crucial scheme parameter is the time interval – the lesser the interval the more correct results are obtained. Two other parameters of the scheme – space interval and the degree of polynomial approximation have minimal impact on the general behavior of solution and have influence on small zone near the front of the wave.

show abstract

“…The proposed method enables energy flow to be efficiently solved with low computational requirements. It was concluded that the reduction in the pressure and temperature of natural gas will increase with increasing lengths of gas pipelines in a natural gas system, and effects of temperature variations on a nodal pressure will increase with an increase in length of the gas pipeline between the node and gas source.The natural gas transient simulations were performed and compared by Koo [17] with the standard method of characteristics that uses an inertia multiplier and with the pressure-based finite volume method that uses a collocated mesh with the total variation diminishing scheme. It was found that the pressure-based finite volume method outperforms the method of characteristics for both slowand fast transient problems.…”

Section: Introductionmentioning

confidence: 99%

Influence of wall friction on flow parameters in natural gas transmission pipeline

Alghlam¹,

Alghlam²,

Stevanović

2022

Therm sci

View full text Add to dashboard Cite

A mathematical model and computational algorithm are derived for the prediction of natural gas pipeline flow. Non-isothermal and compressible steady state flow is considered. Heat transfer between gas flow and surroundings is taken into account together with the heat generation due to the gas friction on the inner pipeline wall. The computational algorithm is based on the marching procedure with defined initial conditions. The predicted thermal effect of the wall friction is validated by the simulation of a case that is available in the open literature. The influence of heat generation by gas wall friction in the long transmission pipeline on gas pressure and temperature is evaluated. Differences between results obtained with and without the heat generation due to gas wall friction are analysed. The heat generation due to gas friction on the pipeline inner wall has an influence on the gas temperature change along the pipeline, while its influence on the pressure drop is negligible. These detailed results are novel since most of the previously published results on non-isothermal gas flow did not take into account the thermal effect of the gas wall friction or the influence of this effect was not evaluated. The presented results are a support to the gas pipeline design methods and operational analyses.

show abstract

Comparison of finite-volume method and method of characteristics for simulating transient flow in natural-gas pipeline

Cited by 21 publications

References 33 publications

Natural Gas Well Production Network State-Space Model Development and Validation for Process Control

Natural Gas Well Production Network State-Space Model Development and Validation for Process Control

Semi-analytical implicit direct time integration scheme on example of 1-D wave propagation problem

Influence of wall friction on flow parameters in natural gas transmission pipeline

Contact Info

Product

Resources

About