On linearized coupling conditions for a class of isentropic multiphase drift-flux models at pipe-to-pipe intersections

• Mapundi K. Banda ^[1] ; Michael Herty ^[2] ; Jean Medard T. Ngnotchouye ^[3]
  1. [1] University of Pretoria

     University of Pretoria

     City of Tshwane, Sudáfrica

     
  2. [2] Rheinisch-Westfälische Technische Hochschule Aachen University

     Rheinisch-Westfälische Technische Hochschule Aachen University

     Städteregion Aachen, Alemania

     
  3. [3] University of KwaZulu-Natal

     University of KwaZulu-Natal

     Ethekwini, Sudáfrica

     

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• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 276, Nº 1 (1 March 2015), 2015, págs. 81-97
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.08.021
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper a general drift-flux model describing a subsonic and isentropic multi-phase fluid in connected pipes is considered. Each phase is assumed to be isentropic with its own sonic speed. The components are gamma-law gases with γ > 1. For such, a computational challenge at a junction is the computation of rarefaction waves which do not have a readily available analytical form. Firstly, the well-posedness of the Riemann problem at the junction is discussed. It is suggested that rarefaction waves should be linearized in order to obtain a more efficient numerical method for coupling such multi-component flow. Some computational results on the dynamics of the multi-phase gas in the pipes demonstrate the qualitative behavior of this approach.