Simulation of transients in natural gas pipelines

被引:47
作者
Dorao, C. A. [1 ]
Fernandino, M. [1 ]
机构
[1] Norwegian Univ Sci & Technol, Dept Energy & Proc Engn, N-7491 Trondheim, Norway
关键词
Natural gas; Least squares method; Space-time formulation;
D O I
10.1016/j.jngse.2011.01.004
中图分类号
TE [石油、天然气工业]; TK [能源与动力工程];
学科分类号
0807 ; 0820 ;
摘要
Cost-effective design and operations of natural gas pipelines require the evaluation of the dynamics of the transmission system, normally modeled as one-dimensional transient compressible fluid. Rapid changes in the flow conditions are present due to disturbances in the demand and operation of the controlling devices. In this work, an alternative approach for simulating the dynamics of natural gas pipelines is presented. The paper describes a time-space least squares spectral method using a C-11 type p-version hierarchical interpolations in space and time. In this formulation, both property space and time are coupled in the least squares minimization procedure. Numerical examples of fast transient cases are discussed. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:349 / 355
页数:7
相关论文
共 32 条
[1]  
Bell BC, 1996, INT J NUMER METH ENG, V39, P2593, DOI 10.1002/(SICI)1097-0207(19960815)39:15<2593::AID-NME968>3.0.CO
[2]  
2-2
[3]   A FINITE-ELEMENT METHOD FOR TRANSIENT COMPRESSIBLE FLOW IN PIPELINES [J].
BISGAARD, C ;
SORENSEN, HH ;
SPANGENBERG, S .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1987, 7 (03) :291-303
[4]   EXPLICIT EQUATION FOR FRICTION FACTOR IN PIPE [J].
CHEN, NH .
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1979, 18 (03) :296-297
[5]   Least-squares spectral element method for non-linear hyperbolic differential equations [J].
De Maerschalck, B. ;
Gerritsma, M. I. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 215 (02) :357-367
[6]   Prediction of the evolution of the dispersed phase in bubbly flow problems [J].
Dorao, C. A. ;
Lucas, D. ;
Jakobsen, H. A. .
APPLIED MATHEMATICAL MODELLING, 2008, 32 (09) :1813-1833
[7]   CALCULATION OF Z FACTORS FOR NATURAL GASES USING EQUATIONS OF STATE [J].
DRANCHUK, PM ;
ABOUKASSEM, JH .
JOURNAL OF CANADIAN PETROLEUM TECHNOLOGY, 1975, 14 (03) :34-36
[8]  
Furmess R.A., 2009, PIPELINE RULES THUMB
[9]   Dynamic behaviour of high-pressure natural-gas flow in pipelines [J].
Gato, LMC ;
Henriques, JCC .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2005, 26 (05) :817-825
[10]   Direct minimization of the discontinuous least-squares spectral element method for viscoelastic fluids [J].
Gerritsma, Marc I. .
JOURNAL OF SCIENTIFIC COMPUTING, 2006, 27 (1-3) :245-256