Seleznev, Vadim E. Numerical monitoring of natural gas distribution discrepancy using CFD simulator. (English) Zbl 1417.76037 J. Appl. Math. 2010, Article ID 407648, 23 p. (2010). Summary: The paper describes a new method for numerical monitoring of discrepancies in natural gas supply to consumers, who receive gas from gas distribution loops. This method serves to resolve the vital problem of commercial natural gas accounting under the conditions of deficient field measurements of gas supply volumes. Numerical monitoring makes it possible to obtain computational estimates of actual gas deliveries over given time spans and to estimate their difference from corresponding values reported by gas consumers. Such estimation is performed using a computational fluid dynamics simulator of gas flows in the gas distribution system of interest. Numerical monitoring of the discrepancy is based on a statement and numerical solution of identification problem of a physically proved gas dynamics mode of natural gas transmission through specified gas distribution networks. The identified mode parameters should have a minimum discrepancy with field measurements of gas transport at specified reference points of the simulated pipeline network. Cited in 2 Documents MSC: 76M30 Variational methods applied to problems in fluid mechanics 65K05 Numerical mathematical programming methods 90C30 Nonlinear programming × Cite Format Result Cite Review PDF Full Text: DOI References: [1] K. S. Chapman, “Virtual pipeline system testbed to optimize the U.S. natural gas transmission pipeline system,” DOE Report, US Department of Energy, 2003. [2] T. Kiuchi, “An implicit method for transient gas flows in pipe networks,” International Journal of Heat and Fluid Flow, vol. 15, no. 5, pp. 378-383, 1994. [3] E. Sekirnjak, “Practical experiences with various optimization techniques for gas transmission and distribution systems,” in Proceedings of the 28th Annual Meeting of the Pipeline Simulation Interest Group (PSIG ’96), pp. 1-16, San Francisco, Calif, USA, October 1996. [4] TAGIF (Technical Association of Gas Industry of France),, Encyclopedia of Gas Industry, 4th edition, 1990. [5] V. V. Aleshin and V. E. Seleznev, “Computation technology for safety and risk assessment of gas pipeline systems,” in Proceedings of the Asian International Workshop on Advanced Reliability Modeling (AIWARM ’04), pp. 443-450, World Scientific, Hiroshima, Japan, August 2004. [6] S. N. Pryalov and V. E. Seleznev, “Numerical monitoring natural gas supply in gas distribution pipeline pystem,” News of Russian Academy of Science, vol. 1, pp. 152-159, 2010 (Russian). [7] V. Seleznev, “Numerical simulation of a gas pipeline network using computational fluid dynamics simulators,” Journal of Zhejiang University, vol. 8, no. 5, pp. 755-765, 2007. · Zbl 1205.76171 · doi:10.1631/jzus.2007.A0755 [8] V. E. Seleznev, V. V. Aleshin, G. S. Klishin, and R. I. Il’kaev, Numerical Analysis of Gas Pipelines: Theory, Computer Simulation, and Applications, KomKniga, Moscow, Russia, 2005. [9] A. H. Tarek, Equations of State and PVT Analysis: Applications for Improved Reservoir Modeling, Gulf, Houston, Tex, USA, 2007. [10] J. D. Anderson Jr., Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, New York, NY, USA, 1995. [11] A. A. Samarskii and P. N. Vabishevich, Computational Heat Transfer, John Wiley & Sons, New York, NY, USA, 1995. [12] J. Nocedal and S. J. Wright, Numerical Optimization, Springer, New York, NY, USA, 2nd edition, 2006. · Zbl 1104.65059 [13] J. E. Dennis Jr. and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Ninlinear Equations, Prentice-Hall, Upper Saddle River, NJ, USA, 1988. [14] D. P. Bertsekas, Nonlinear Programming, Athena Scientific, Belmont, Mass, USA, 2nd edition, 1999. · Zbl 1015.90077 [15] F. P. Vasilyev, Methods for Optimization, Factorial Press, Moscow, Russia, 2002. · Zbl 1019.76033 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.