TY - JOUR
T1 - Operator splitting method for simulation of dynamic flows in natural gas pipeline networks
AU - Dyachenko, Sergey A.
AU - Zlotnik, Anatoly
AU - Korotkevich, Alexander O.
AU - Chertkov, Michael
N1 - Funding Information:
Authors would like to thank Daniel Appelö, Scott Backhaus, Michele Benzi, Michael Herty, Vladimir Lebedev, Sidhant Misra and Marc Vuffray for discussions and helpful suggestions. This work was carried out at Los Alamos National Laboratory under the auspices of the National Nuclear Security Administration of the U.S. Department of Energy under Contract No. DE-AC52-06NA25396, and was supported by the Advanced Grid Modeling Research Program in the U.S. Department of Energy Office of Electricity Delivery and Energy Reliability , DTRA office of basic research and by Project GECO for the Advanced Research Project Agency-Energy of the U.S. Department of Energy under Award No.DE-AR0000673. The work of KAO was partially supported by NSh-9697.2016.2 during his visit to Landau Institute and by UNM RAC grant “Simulation tool for realistic gas networks” during preparation of the article.
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2017/12/15
Y1 - 2017/12/15
N2 - 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 Darcy–Weisbach 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Mass flow balance is maintained through the boundary conditions at the network nodes, where natural gas is injected or withdrawn from the system.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.
AB - 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 Darcy–Weisbach 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.
KW - Gas dynamics
KW - Operator splitting
KW - Pipeline simulation
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U2 - 10.1016/j.physd.2017.09.002
DO - 10.1016/j.physd.2017.09.002
M3 - Article
AN - SCOPUS:85032869217
VL - 361
SP - 1
EP - 11
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
ER -