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Reduced Order Modeling of Natural Gas Transient Flow in Pipelines
Abstract:A reduced order modeling approach for natural gas transient flow in pipelines is presented. The Euler equations are considered as the governing equations and solved numerically using the implicit Steger-Warming flux vector splitting method. Next, the linearized form of the equations is derived and the corresponding eigensystem is obtained. Then, a few dominant flow eigenmodes are used to construct an efficient reduced-order model. A well-known test case is presented to demonstrate the accuracy and the computational efficiency of the proposed method. The results obtained are in good agreement with those of the direct numerical method and field data. Moreover, it is shown that the present reduced-order model is more efficient than the conventional numerical techniques for transient flow analysis of natural gas in pipelines.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077437Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1437
 E. Tentis, D. Margaris, D. Papanikas, "Transient gas flow simulation using an Adaptive Method of Lines", C. R. Mecanique, Vol. 331, 2003, pp. 481-487.
 W. Yow, "Analysis and Control of Transient Flow in Natural Gas Piping Systems", Ph.D. Thesis, The University of Michigan, 1971.
 H. H. Rachford and T.A. Dupont , "A Fast Highly Accurate Means of modeling Transient Flow in Gas Pipelines by Variational Methods", Society of Petroleum Engineers Journal, 1974, pp. 356-362.
 E. B. Wylie, M. A. Stoner and V. L. Streeter, "Network System Transient Calculations by Implicit Methods" Society of Petroleum Engineers Journal, Dec., 1971, pp. 356-362.
 J. Zhou and M. A. Adewumi, "Simulation of Transient Flow in Natural Gas Pipelines", 27th Annual Meeting Pipeline Simulation Interest Group (PSIG), Albuquerque, New Mexico, Oct. 18-20, 1995.
 E. H. Dowell, "Eigenmode Analysis in Unsteady Aerodynamics: Reduced-Order Models", AIAA Journl, Vol. 34, No. 8, August 1996, pp. 1578-1583.
 M. C. Romanowski and E. H Dowell, "Using Eigenmodes to Forms an Efficient Euler Based Unsteady Aerodynamics Analysis" Proceeding of the Special Symposium on Aeroelasticity and Fluid/Structure Interaction Problems, ASME International Mechanical Engineering Congress and Exposition, Chicago Illions, AD-Vol. 44, 1994, pp. 147-160.
 K. C. Hall, R. Florea and P. J. Lanzkorn, "A Reduced Order Model of Unsteady Flows in Turbomachinary", American Society of Mechanical Engineers, ASME Paper 94-GT-291, June 1994.
 K. C. Hall, "Eigenanalysis of Unsteady Flows About Airfoils, Cascade and Wings", AIAA Journal, Vol. 32, No. 12, 1994, pp. 2426-2432.
 E. H. Dowell and M. C. Romanowski, "Eigenmode Analysis in Unsteady Aerodynamics: Reduced-Order Models", Appl .Mech. Rev., Vol. 50, No. 6, 1997, pp. 371-385.
 V. Esfahanian and M. Behbahani-Nejad, "Reduced Order Modeling of Unsteady flows about Complex Configurations Using the Boundary Element Method" , J. Fluid Eng-T ASME, Vol. 124, 2002, pp. 988-993.
 H. Shahverdi, A. S. Nobari, M. Behbahani-Nejad, H. Haddadpour, "An efficient reduced-order modelling approach based on fluid eigenmodes and boundary element method", Journal of Fluids and Structures, Vol. 23, 2006, pp. 143-153.
 K. C. Hall, R. Florea and P. J. Lanzkorn, "A Reduced Order Model of Unsteady Flows in Turbomachinary", AIAA Journal Vol. 117, No. 3, 1995, pp. 375-383.
 R. Florea, K. C. Hall and G. A. Cizmas, "Reduced Order Modeling of Unsteady Viscous Flow in a Compressor Cascade", AIAA Journal, Vol. 36, No. 6, 1998, pp. 1039-1048.
 A. K. Hoffman, S. T. Chiang, "Computational Fluid Dynamics For Engineers", Wichita, Kansas, 2000.
 T. D. Taylor, N. E. Wood, J. E. Power, "A Computer Simulation of Gas Flow in Long Pipelines", Soc. Pet. Eng, Trans, AIME, Vol. 225, 1962, pp. 297-302.
 M. Behbahani-Nejad, H. Hadadpour, V. Esfahanian, "Reduced-Order Modeling of Unsteady Flows without Static Correction Requirement", J. of Aircraft, Vol. 42, No. 4, 2005.