An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks
Abstract
Here, we present an explicit second order staggered finite difference (FD) discretization scheme for forward simulation of natural gas transport in pipeline networks. By construction, this discretization approach guarantees that the conservation of mass condition is satisfied exactly. The mathematical model is formulated in terms of density, pressure, and mass flux variables, and as a result permits the use of a general equation of state to define the relation between the gas density and pressure for a given temperature. In a single pipe, the model represents the dynamics of the density by propagation of a non-linear wave according to a variable wave speed. We derive compatibility conditions for linking domain boundary values to enable efficient, explicit simulation of gas flows propagating through a network with pressure changes created by gas compressors. We compare our staggered grid method with an explicit operator splitting method and a lumped element scheme, and perform numerical experiments to validate the convergence order of the new discretization approach. In addition, we perform several computations to investigate the influence of non-ideal equation of state models and temperature effects on pipeline simulations with boundary conditions on various time and space scales.
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Advanced Research Projects Agency - Energy (ARPA-E)
- OSTI Identifier:
- 1907302
- Alternate Identifier(s):
- OSTI ID: 1467271; OSTI ID: 1701964
- Report Number(s):
- LA-UR-17-29345
Journal ID: ISSN 0307-904X; S0307904X1830369X; PII: S0307904X1830369X
- Grant/Contract Number:
- AC52-06NA25396; AR0000673; DEAC52-06NA25396
- Resource Type:
- Published Article
- Journal Name:
- Applied Mathematical Modelling
- Additional Journal Information:
- Journal Name: Applied Mathematical Modelling Journal Volume: 65 Journal Issue: C; Journal ID: ISSN 0307-904X
- Publisher:
- Elsevier
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; Mathematics; explicit, staggered grid, gas pipeline network
Citation Formats
Gyrya, Vitaliy, and Zlotnik, Anatoly. An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks. United Kingdom: N. p., 2019.
Web. doi:10.1016/j.apm.2018.07.051.
Gyrya, Vitaliy, & Zlotnik, Anatoly. An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks. United Kingdom. https://doi.org/10.1016/j.apm.2018.07.051
Gyrya, Vitaliy, and Zlotnik, Anatoly. Tue .
"An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks". United Kingdom. https://doi.org/10.1016/j.apm.2018.07.051.
@article{osti_1907302,
title = {An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks},
author = {Gyrya, Vitaliy and Zlotnik, Anatoly},
abstractNote = {Here, we present an explicit second order staggered finite difference (FD) discretization scheme for forward simulation of natural gas transport in pipeline networks. By construction, this discretization approach guarantees that the conservation of mass condition is satisfied exactly. The mathematical model is formulated in terms of density, pressure, and mass flux variables, and as a result permits the use of a general equation of state to define the relation between the gas density and pressure for a given temperature. In a single pipe, the model represents the dynamics of the density by propagation of a non-linear wave according to a variable wave speed. We derive compatibility conditions for linking domain boundary values to enable efficient, explicit simulation of gas flows propagating through a network with pressure changes created by gas compressors. We compare our staggered grid method with an explicit operator splitting method and a lumped element scheme, and perform numerical experiments to validate the convergence order of the new discretization approach. In addition, we perform several computations to investigate the influence of non-ideal equation of state models and temperature effects on pipeline simulations with boundary conditions on various time and space scales.},
doi = {10.1016/j.apm.2018.07.051},
journal = {Applied Mathematical Modelling},
number = C,
volume = 65,
place = {United Kingdom},
year = {Tue Jan 01 00:00:00 EST 2019},
month = {Tue Jan 01 00:00:00 EST 2019}
}
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https://doi.org/10.1016/j.apm.2018.07.051
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Cited by: 14 works
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