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Numerical simulation of transient natural gas flow in pipelines using high order DG-ADER scheme | ||
| Journal of Heat and Mass Transfer Research | ||
| مقاله 4، دوره 4، شماره 1 - شماره پیاپی 7، مرداد 2017، صفحه 35-43 اصل مقاله (823.28 K) | ||
| نوع مقاله: Full Length Research Article | ||
| شناسه دیجیتال (DOI): 10.22075/jhmtr.2016.497 | ||
| نویسندگان | ||
| Ali Falavand Jozaei* 1؛ Ali Tayebi2؛ Younes Shekari2؛ Ashkan Ghafouri3 | ||
| 1Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran | ||
| 2Yasouj University, Yasouj, Iran. | ||
| 3Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran. | ||
| تاریخ دریافت: 03 اردیبهشت 1395، تاریخ بازنگری: 17 آبان 1395، تاریخ پذیرش: 05 آذر 1395 | ||
| چکیده | ||
| To increase the numerical accuracy in solving engineering problems, either conventional methods on a fine grid or methods with a high order of accuracy on a coarse grid can be used. In the present research, the second approach is utilized and the arbitrary high order Discontinues Galerkin Arbitrary DERivative (DG-ADER) method is applied to analyze the transient isothermal flow of natural gas through pipelines. The problem is investigated one dimensionally and the effect of friction force between the pipe wall and fluid flow is considered as a source term on the right-hand side of the momentum equation. Therefore, the governing equations have a hyperbolic nature. Two real problems with available field data are simulated using this method. The results show that using DG-ADER method, high accurate results can be obtained even on a coarse grid. Furthermore, the conventional small-amplitude oscillations of DG-ADER scheme do not appear in the transient natural gas flow problems, due to the smoothness of flow field properties. | ||
| کلیدواژه‌ها | ||
| transient natural gas flow؛ Numerical simulation؛ high order DG-ADER scheme؛ isothermal flow | ||
| مراجع | ||
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[1]. Zhou, J., Adewumi, M., 1995, “Simulation of transient flow in natural gas pipelines”. 27th Annual Meeting Pipeline Simulation Interest Group (PSIG).
[2]. Osiadacz, A.J., 1996 “Different Transient Flow Models-Limitations, Advantages, And Disadvantages”, PSIG Annual Meeting, Pipeline Simulation Interest Group.
[3]. Ibraheem, S., Adewumi, M., 1996, “Higher resolution numerical solution for 2-D transient natural gas pipeline flows”, SPE Gas Technology Symposium, Society of Petroleum Engineers.
[4]. Mohitpour, M., Thompson, W., Asante, B., 1996, “The importance of dynamic simulation on the design and optimization of pipeline transmission systems.” American Society of Mechanical Engineers, New York, NY (United States).
[5]. Tao, W., Ti, H., 1998, “Transient analysis of gas pipeline network.” Chemical Engineering Journal, 69(1): pp. 47-52.
[6]. Behbahani-Nejad, M., Bagheri, A., 2010, “The accuracy and efficiency of a MATLAB-Simulink library for transient flow simulation of gas pipelines and networks” Journal of Petroleum Science and Engineering, 70(3): pp. 256-265.
[7]. Behbahani-Nejad, M, Shekari, Y., 2010, The accuracy and efficiency of a reduced-order model for transient flow analysis in gas pipelines. Journal of Petroleum Science and Engineering, 73(1–2): pp. 13-19.
[8]. Godunov, S.K., 1959, “Finite difference methods for the computation of discontinuous solutions of the equations of fluid dynamics”. Mathematics of the USSR, 47: pp. 271–306.
[9]. Toro, E.F., 2005, Riemann Solvers and Numerical Methods for Fluid Dynamics, 3rd ed.,: Springer, Manchester.
[10]. Titarev, V., Toro, E.F., 2002, “ADER: Arbitrary high order Godunov approach” Journal of Scientific Computing, 17(1-4): pp. 609-618.
[11]. Titarev, V., Toro, E.F., 2005, “ADER schemes for three-dimensional non-linear hyperbolic systems”, Journal of Computational Physics, 204(2): pp. 715-736.
[12]. Dumbser, M., Balsara, D. S., Toro, E.F., Munz, C.D., 2008, “A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes”. Journal of Computational Physics, 227: pp. 8209-8253.
[13]. Dumbser, M., Enaux, C. and Toro, E.F., 2008, “Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws”, Journal of Computational Physics, 227: pp. 3971-4001.
[14]. Dumbser, M., Hidalgo, A., Castro, M., Pares, C., Toro, E.F., 2010, “FORCE schemes on unstructured meshes part II: Non-conservative hyperbolic systems”, Computer Methods in Applied Mechanics and Engineering, 199(9): pp. 625-647.
[15]. Dumbser, M., Kaser, M., Titarev, V., Toro, E.F., 2007, “Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems”, Journal of Computational Physics, 226: pp. 204-243.
[16]. Taube, Dumbser, M., Balsara, D. S., Munz, C.D., “Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations”, Journal of Scientific Computing, 30(3): pp. 441-464.
[17]. Shekari, Y. Tayebi, A., 2015, “Numerical simulation of two-phase flows, using drift flux model and DG-ADER scheme” Modares Mechanical Engineering, 15(9): p. 51-58.
[18]. Dumbser, M., 2011, “Advanced Numerical Methods for Hyperbolic Equations and Applications” 2011: Trento.
[19]. Dempsey, R.J., Rachford, H.H., Nolen, J.S., 1972, “Gas Supply Analysis-States of the Arts”, AGA Conf. San Francisco.
[20]. Taylor, T. D., Wood, N. E. and Power, J. E., 1962, "A Computer Simulation of Gas Flow in Long Pipelines," Soc. Pet. Eng, Trans, AIME, vol. 225, pp. 297-302
[21]. Zhou, J. and Adewumi, M., 1995, "Simulation of transient flow in natural gas pipelines," in 27th Annual Meeting Pipeline Simulation Interest Group (PSIG), pp. 18-20
[22]. Tentis, E., Margaris, D., and Papanikas, D., 2003, "Transient gas flow simulation using an adaptive method of lines," Comptes Rendus Mecanique, vol. 331, pp. 481-487
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