Seminar on Finite-element tools for the 2D/3D simulation of liquid-solid phase-change systems

04 Jun 2024 02.00 PM - 03.00 PM MAE Meeting Room D (Blk N3.2-02-59) Current Students, Public

Professor Ionut Danaila

University of Rouen Normandy, France

This seminar will be chaired by A/P Daniel New Tze How.

Seminar Abstract

The coupling between thermal convection and melting is a key phenomenon in many applications, ranging from geophysical flows (Earth's mantle formation, magma oceans) to the energy storage or passive temperature control devices using phase-change materials (PCMs). We present numerical simulations of different PCM configurations (PCM with both lateral and basal heating, tubes or layers of PCM).  The numerical method uses a new single domain numerical approach to solve the 2D/3D Navier-Stokes-Boussinesq equations for phase-change systems with natural convection. The key ingredients of the method are the use of an adaptive finite element method with a new regularization of the functions representing the variation of thermodynamic properties at the solid-liquid interface, and a fully linearized Newton algorithm for the time integration of the system of equations. The advantage of our adaptivity method is to allow accurate and simultaneous tracking of different interfaces in the system. An adaptive domain decomposition method makes affordable 3D calculations of PCM systems.

  1. I. Danaila, R. Moglan, F. Hecht, S. Le Masson, A Newton method with adaptive finite elements for solving phase-change problems with natural convection, J. of Computational Physics, 274, p. 826-840, 2014.
  2. A. Rakotondrandisa, I. Danaila and L. Danaila, Numerical modelling of a melting-solidification cycle of a phase-change material with complete or partial melting. Int. J. Heat and Fluid Flow, 76:57-71, 2019.
  3. A. Rakotondrandisa, G. Sadaka and I. Danaila, A finite-element toolbox for the simulation of solid-liquid phase-change systems with natural convection, Computer Physics Communications, 253, p. 107188(1-20), 2020.
  4. G. Sadaka, A. Rakotondrandisa, P.-H. Tournier, F. Luddens, C. Lothodé and I. Danaila, Parallel finite-element codes for the simulation of two-dimensional and three-dimensional solid-liquid phase-change systems with natural convection, Computer Physics Communications, 257, p. 107492(1-26), 2020.
    Speaker’s Biography​
    Professor Ionut Danaila received his BSc in 1993 in Aeronautical Engineering from Polytechnic University, Bucharest, Romania, his MSc in 1994 from ENSAE-Sup'Aero, France and his PhD in 1997 in Fluid Mechanics from University of Marseille, France.  He joined the Laboratory Jacques-Louis Lions, University Pierre et Marie Curie, Paris, in 1999, as Associate Professor. Since 2011, he is  Full Professor at University of Rouen, France, Department of Mathematics.  As an applied mathematician, Professor Danaila is interested primarily in problems combining numerical analysis and scientific computing for applications at interfaces between mathematics and physics.  He co-authored five books and more than 50 journal articles. His research is mainly concerned by numerical simulations of classical fluid flows (Navier-Stokes, Boussinesq, low-Mach number equations) and superfluid systems, such as Bose-Einstein condensates (Schrodingerand Gross-Pitaevskii equations).

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