Mathematical and Numerical Modelling of Three-Phase Flows in Pipelines

  • L. Hanich
  • C. P. Thompson
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)


A mathematical model for three-phase flow in pipelines is developed and a novel algorithm for solving the resulting system of partial differential equations is presented. The numerical solution is based on an adaptive mesh refinement technique. Significant gains in the numerical performance have been achieved by using this technique combined with high resolution schemes like FCT. This approach is highly beneficial in terms of speed while preserving accuracy. An explicit adaptive numerical solver ACLS (Adaptive Conservation Law Solver) has been developed in fortran90 using object-oriented methods, which give a modular and flexible code. Some numerical tests are performed to show the good behaviour of this solver and to compare the numerical results against the experimental data.


High Resolution Scheme Pipeline Flow Incline Pipe Flexible Code Liquid Mass Flow Rate 
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  1. 1.
    Hanich, L. and Thompson, C. (2001). Validation of a Novel Algorithm for the Adaptive Calculation of Transient Stratified Flows of Gas, Oil and Water in Pipelines. Int. J. Num. Methods in Engineering, Vol. 51 (1), pp. 579–607.MATHCrossRefGoogle Scholar
  2. 2.
    Hodson, J. (1998). Transient Three Phase (Gas/Liquid/Liquid) Flows. MTD Project Report TMF/P44. Imperial College. Private Communication.Google Scholar
  3. 3.
    Khor, S. H. (1998). Three-Phase Liquid-Liquid-Gas Stratified Flow In Pipelines. PhD Thesis, Imperial College, University of London, UK.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • L. Hanich
    • 1
  • C. P. Thompson
    • 1
  1. 1.Applied Mathematics and Computing Group, School of EngineeringCranfield UniversityUK

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