Journal
APPLIED MATHEMATICAL MODELLING
Volume 65, Issue -, Pages 34-51Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2018.07.051
Keywords
Explicit; Conservative; Finite difference; Natural Gas pipeline; network
Funding
- U.S. Department of Energy [DE-AR0000673]
- National Nuclear Security Administration of the U.S. Department of Energy [DEAC52-06NA25396]
Ask authors/readers for more resources
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. (C) 2018 Published by Elsevier Inc.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available