Dynamic behaviour of high-pressure natural-gas flow in pipelines

Abstract The aim of the present study is the numerical modelling of the dynamic behaviour of high-pressure natural-gas flow in pipelines. The numerical simulation was performed by solving the conservation equations, for one-dimensional compressible flow, using the Runge–Kutta discontinuous Galerkin method, with third-order approximation in space and time. The boundary conditions were imposed using a new weak formulation based on the characteristic variables. The occurrence of pressure oscillations in natural-gas pipelines was studied as a result of the compression wave originated by the rapid closure of downstream shut-off valves. The effect of the partial reflection of pressure waves was also analyzed in the transition between pipes of different cross-sectional areas.

[1]  C. H. Tiley,et al.  Unsteady and transient flow of compressible fluids in pipelines—a review of theoretical and some experimental studies , 1987 .

[2]  Timothy J. Barth,et al.  Simplified Discontinuous Galerkin Methods for Systems of Conservation Laws with Convex Extension , 2000 .

[3]  C. Hirsch,et al.  Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.

[4]  Junyang Zhou,et al.  Simulation of transients in natural gas pipelines using hybrid TVD schemes , 2000 .

[5]  Andrzej J. Osiadacz,et al.  Comparison of isothermal and non-isothermal pipeline gas flow models , 2001 .

[6]  Michael A. Adewumi,et al.  On Total Variation Diminishing Schemes for Pressure Transients , 1999 .

[7]  Rémi Abgrall,et al.  High Order Approximations for Compressible Fluid Dynamics on Unstructured and Cartesian Meshes , 1999 .

[8]  Chi-Wang Shu,et al.  The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case , 1990 .

[9]  Chi-Wang Shu,et al.  TVB Runge-Kutta local projection discontinuous galerkin finite element method for conservation laws. II: General framework , 1989 .

[10]  Pierre Charrier,et al.  Energy Stable Flux Formulas For The Discontinuous Galerkin Discretization Of First Order Nonlinear Conservation Laws , 2001 .

[11]  C. V. Kameswara Rao,et al.  On the analysis of pressure transients in pipelines carrying compressible fluids , 1993 .

[12]  Mohand Kessal,et al.  Simplified Numerical Simulation of Transients in Gas Networks , 2000 .

[13]  G. P. Greyvenstein.  An implicit method for the analysis of transient flows in pipe networks , 2002 .