Operator splitting method for simulation of dynamic flows in natural gas pipeline networks
Abstract
Here, we develop an operator splitting method to simulate flows of isothermal compressible natural gas over transmission pipelines. The method solves a system of nonlinear hyperbolic partial differential equations (PDEs) of hydrodynamic type for mass flow and pressure on a metric graph, where turbulent losses of momentum are modeled by phenomenological DarcyWeisbach friction. Mass flow balance is maintained through the boundary conditions at the network nodes, where natural gas is injected or withdrawn from the system. Gas flow through the network is controlled by compressors boosting pressure at the inlet of the adjoint pipe. Our operator splitting numerical scheme is unconditionally stable and it is second order accurate in space and time. The scheme is explicit, and it is formulated to work with general networks with loops. We test the scheme over range of regimes and network configurations, also comparing its performance with performance of two other state of the art implicit schemes.
 Authors:

 Univ. of Illinois, UrbanaChampaign, IL (United States). Dept. of Mathematics
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Univ. of New Mexico, Albuquerque, NM (United States). Dept. of Mathematics & Statistics; L. D. Landau Inst. for Theoretical Physics, Moscow (Russia)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Energy System Center, Skoltech, Moscow (Russia)
 Publication Date:
 Research Org.:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE Office of Electricity (OE); USDOE Advanced Research Projects Agency  Energy (ARPAE)
 OSTI Identifier:
 1394973
 Report Number(s):
 LAUR1629073
Journal ID: ISSN 01672789
 Grant/Contract Number:
 AC5206NA25396; AR0000673
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physica. D, Nonlinear Phenomena
 Additional Journal Information:
 Journal Volume: 361; Journal ID: ISSN 01672789
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Computer Science; Energy Sciences; Mathematics; Natural Gas; Computational Methods
Citation Formats
Dyachenko, Sergey A., Zlotnik, Anatoly, Korotkevich, Alexander O., and Chertkov, Michael. Operator splitting method for simulation of dynamic flows in natural gas pipeline networks. United States: N. p., 2017.
Web. https://doi.org/10.1016/j.physd.2017.09.002.
Dyachenko, Sergey A., Zlotnik, Anatoly, Korotkevich, Alexander O., & Chertkov, Michael. Operator splitting method for simulation of dynamic flows in natural gas pipeline networks. United States. https://doi.org/10.1016/j.physd.2017.09.002
Dyachenko, Sergey A., Zlotnik, Anatoly, Korotkevich, Alexander O., and Chertkov, Michael. Tue .
"Operator splitting method for simulation of dynamic flows in natural gas pipeline networks". United States. https://doi.org/10.1016/j.physd.2017.09.002. https://www.osti.gov/servlets/purl/1394973.
@article{osti_1394973,
title = {Operator splitting method for simulation of dynamic flows in natural gas pipeline networks},
author = {Dyachenko, Sergey A. and Zlotnik, Anatoly and Korotkevich, Alexander O. and Chertkov, Michael},
abstractNote = {Here, we develop an operator splitting method to simulate flows of isothermal compressible natural gas over transmission pipelines. The method solves a system of nonlinear hyperbolic partial differential equations (PDEs) of hydrodynamic type for mass flow and pressure on a metric graph, where turbulent losses of momentum are modeled by phenomenological DarcyWeisbach friction. Mass flow balance is maintained through the boundary conditions at the network nodes, where natural gas is injected or withdrawn from the system. Gas flow through the network is controlled by compressors boosting pressure at the inlet of the adjoint pipe. Our operator splitting numerical scheme is unconditionally stable and it is second order accurate in space and time. The scheme is explicit, and it is formulated to work with general networks with loops. We test the scheme over range of regimes and network configurations, also comparing its performance with performance of two other state of the art implicit schemes.},
doi = {10.1016/j.physd.2017.09.002},
journal = {Physica. D, Nonlinear Phenomena},
number = ,
volume = 361,
place = {United States},
year = {2017},
month = {9}
}
Web of Science