Adaptive implicit finite difference method for natural gas pipeline transient flow

The implicit finite difference method is one of the most widely applied methods for transient natural gas simulation. However, this implicit method is associated with high computational cost. To improve the simulation efficiency of implicit finite difference method, an adaptive strategy is introduced into the simulation process. The proposed adaptive strategy consists of the adaptive time step strategy and the adaptive spatial grid strategy. And these two parts are implemented based on the local error technique and the multilevel grid technique respectively. The results illustrate that the proposed adaptive method can automatically and independently adjust the time step and the spatial grid system according to the gas flow state in the simulation process, and demonstrates a significant advantage in terms of computational accuracy and efficiency compared with the non-adaptive method.

[1]  Esmaeel Khanmirza,et al.  Transient simulation of gas pipeline networks using intelligent methods , 2016 .

[2]  Manson Benedict,et al.  An Empirical Equation for Thermodynamic Properties of Light Hydrocarbons and Their Mixtures I. Methane, Ethane, Propane and n‐Butane , 1940 .

[3]  Philip T. Keenan.  COLLATION AND UPWINDING FOR THERMAL FLOW IN PIPELINES: THE LINEARIZED CASE , 1996 .

[4]  Javad Mahmoudimehr,et al.  Technical Assessment of Isothermal and Non-Isothermal Modelings of Natural Gas Pipeline Operational Conditions , 2012 .

[5]  Jon Barley.  Thermal Decoupling: An Investigation , 2012 .

[6]  Morteza Behbahani-Nejad,et al.  The accuracy and efficiency of a reduced-order model for transient flow analysis in gas pipelines , 2010 .

[7]  Pekka Ruponen.  Adaptive time step in simulation of progressive flooding , 2014 .

[8]  Bo Yu,et al.  Comparison study on the accuracy and efficiency of the four forms of hydraulic equation of a natural gas pipeline based on linearized solution , 2015 .

[9]  Liu Xiaojing,et al.  Transient flow simulation of municipal gas pipelines and networks using semi implicit finite volume method , 2011 .

[10]  Rezvan Alamian,et al.  A state space model for transient flow simulation in natural gas pipelines , 2012 .

[11]  Zhao Jia-li.  Research on Simulation Model and Solving Technology of Large Scale Gas Pipe Network , 2012 .

[12]  K. S. Chapman,et al.  Nonisothermal Transient Flow in Natural Gas Pipeline , 2008 .

[13]  C F Colebrook,et al.  TURBULENT FLOW IN PIPES, WITH PARTICULAR REFERENCE TO THE TRANSITION REGION BETWEEN THE SMOOTH AND ROUGH PIPE LAWS. , 1939 .

[14]  Frédéric Coquel,et al.  A relaxation multiresolution scheme for accelerating realistic two‐phase flows calculations in pipelines , 2007 .

[15]  Edris Ebrahimzadeh,et al.  Simulation of transient gas flow using the orthogonal collocation method , 2012 .

[16]  Tatsuhiko Kiuchi,et al.  An implicit method for transient gas flows in pipe networks , 1994 .

[17]  Svend Tollak Munkejord,et al.  The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model , 2006 .

[18]  Bernhard Müller,et al.  Transient Flow in Natural Gas Pipelines Using Implicit Finite Difference Schemes , 2014 .

[19]  Enn Energy.  Operation analysis of city gas pipelines by the finite volume method , 2013 .

[20]  Q. Tran,et al.  Multiresolution technique and explicit-implicit scheme for multicomponent flows , 2006 .

[21]  Oleg V. Vasilyev,et al.  Second-generation wavelet collocation method for the solution of partial differential equations , 2000 .

[22]  Liu Han.  Dynamic simulation of natural gas network based on adaptive step , 2011 .

[23]  D. G. Papanikas,et al.  Transient gas flow simulation using an Adaptive Method of Lines , 2003 .

[24]  R. Zarghami,et al.  New Fuzzy Model for Risk Assessment Based on Different Types of Consequences , 2014 .

[25]  Steinar Evje,et al.  Weakly Implicit Numerical Schemes for a Two-Fluid Model , 2005, SIAM J. Sci. Comput..

[26]  J. Duan,et al.  Energy Equation Derivation of the Oil-Gas Flow in Pipelines , 2013 .

[27]  M. Blunt,et al.  Reservoir Modeling for Flow Simulation by Use of Surfaces, Adaptive Unstructured Meshes, and an Overlapping-Control-Volume Finite-Element Method , 2015 .

[28]  Jan Fredrik Helgaker,et al.  Coupling between Continuity/Momentum and Energy Equation in 1D Gas Flow , 2012 .

[29]  Tao Wang,et al.  Application of π Equivalent Circuit in Mathematic Modeling and Simulation of Gas Pipeline , 2014 .

[30]  Lawrence F. Shampine,et al.  Error Estimation and Control for ODEs , 2005, J. Sci. Comput..

[31]  Lei Zhang,et al.  Simulation of the transient flow in a natural gas compression system using a high-order upwind scheme considering the real-gas behaviors , 2016 .

[32]  Ricardo Serfaty,et al.  A fully adaptive front tracking method for the simulation of two phase flows , 2014 .

[33]  E. Benjamin Wylie,et al.  Network: System Transient Calculations by Implicit Method , 1971 .

[34]  Bo Yu,et al.  Fast method for the hydraulic simulation of natural gas pipeline networks based on the divide-and-conquer approach , 2018 .

[35]  Mitchell Luskin.  An Approximation Procedure for Nonsymmetric, Nonlinear Hyperbolic Systems with Integral Boundary Conditions , 1979 .

[36]  José A. Gutiérrez,et al.  Fast transients analysis of nonuniform transmission lines through the method of characteristics , 2002 .