Operator splitting method for simulation of dynamic flows in natural gas pipeline networks

Dyachenko, Sergey A.; Zlotnik, Anatoly; Korotkevich, Alexander O.; Chertkov, Michael

doi:10.1016/j.physd.2017.09.002

Title: Operator splitting method for simulation of dynamic flows in natural gas pipeline networks

Journal Article · Tue Sep 19 00:00:00 EDT 2017 · Physica. D, Nonlinear Phenomena

DOI: https://doi.org/10.1016/j.physd.2017.09.002 · OSTI ID:1394973

Dyachenko, Sergey A. ^[1];

^[2]; Korotkevich, Alexander O. ^[3];

^[4]

Univ. of Illinois, Urbana-Champaign, 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)

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 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Mass flow balance is maintained through the boundary conditions at the network nodes, where natural gas is injected or withdrawn from the system.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.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Electricity Delivery and Energy Reliability (OE); USDOE Advanced Research Projects Agency - Energy (ARPA-E)

Grant/Contract Number:: AC52-06NA25396; AR0000673

OSTI ID:: 1394973

Report Number(s):: LA-UR--16-29073

Journal Information:: Physica. D, Nonlinear Phenomena, Journal Name: Physica. D, Nonlinear Phenomena Vol. 361; ISSN 0167-2789

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Operator splitting method for simulation of dynamic flows in natural gas pipeline networks

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