Fluid Dynamic: Numerical modeling of Multiphase flows.

Keywords: Multiphase flow.

Jointly with , Dr. Steven Dufour of Department of Mathematics and Industrial Engineering of Ecole Polytechnique de Montréal (Canada) , we developed an accurate and simple strategy for modeling multifluid systems with a large numbers of drops or bubbles in a Newtonian fluid. The strategy used to capture the interfaces of the multifluid system is purely Eulerian and based to the pseudo-concentration method where the jump identifies the location of the free surface. The pseudo-concentration is advected in the computational domain by solving a transport equation using a stabilized finite element method. The incompressible Navier-Stokes equations, and the conservation of energy equation, are discretized using the Galerkin variational formulation, or stabilized finite element methods. The system of partial differential equations is solved using coupled and uncoupled strategies. An advancing front mesh generator, driven by various a posterior error estimators, is used to refine the computational mesh to help capture interfacial phenomena. Various numerical strategies, such as the Continuum Surface Force technique (CSF), are implemented in the described adaptive finite element method to model surface tension. This project was sponsored by the AUTO21 of the canadian governement.

Samples publications related to this project

  • Dufour S, Malidi A., An Eulerian interface capturing methodology for the numerical modeling of free surface flows with surface tension. Redaction, 2006.
  • S. Dufour, M. Ahamadi, A Free Surface Updating Methodology For Marker-Function Based Eulerian Free Surface Capturing Techniques on Unstructured Triangular Meshes. "Commun. Numer. Meth. Engng" (2004) ; 20:857-867.
  • I. Cotoi, M. Ahamadi, Numerical Instability in Stratified Multiphase Flow Using the finite Volume Methods, "American Romanian Academy (ARA) Journal", 28 (2003), pp. 203-207.
  • M. Ahamadi, S. Dufour, A numerical Strategy for Accurate Free Surface Capturing, Proceeding of the Second M.I.T Conference on Computational Fluid and Solid Mechanics, Massachusetts Institute of Technology, Cambridge, MA, USA., edited by K.J. Bathe, Publisher: Computational Fluid and Solid Mechanics 1(2003), pp. 1011-1015.
  • S. Dufour, M. Ahamadi, A Compressible/Incompressible Numerical Model for Modeling Free Surface Flows in an Eulerian Framework, Proceedings of the International Workshop on Multiphase and Complex Flow Simulation for Industry, Institut d'Etudes Scientifiques de Cargèse(Corse), France, Oct. 20 th -28 th 2003.
  • S. Dufour, M. Ahamadi, A Computational Methodology for Modeling Complex Industrial Multifluid Processes, Proceeding of the 18th Annual Meeting of Polymer Processing Society (PPS-18), Guimaraes, Portugal, June 16 th - 20 th, 2002.
  • S. Dufour, M. Ahamadi, Mass-Conserving Free Surface Capturing on Unstructured Irregular Meshes With the Finite Element Method, Proceeding of the Fifth World Congress on Computational Mechanics (WCCM V), International Association for Computational Mechanics (IACM), edited by Mang, H.A.; Rammerstorfer, F.G.; Eberhardsteiner, J., Publisher: Vienna University of Technology, Vienna, Austria, Jul 7 th - 12 th, 2002.