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3.3   Selected Applications

Many projects performed with AVBP have already been described in the ``Modelling'' chapter 2. The present section only presents some additional specific examples involving issues related to numerical techniques and AVBP.

3.3.1   Bio-medical blood flow simulations (JB. Mossa, F. Nicoud, T. Schönfeld)

Flow simulations in the field of bio-medical applications represent a new activity explored in 2000 [Nicoud, 2001]. The new integral boundary conditions presented above, have been successfully applied for the blood flow simulations in cardio-vascular systems such as the thorax aorta shown in Fig. 3.2.



Figure 3.2: Surface grid of thorax aorta (left) and velocity vectors indicating a recirculation zone.


3.3.2   Development of a two-phase flow Euler / Euler LES solver (A. Kaufmann, JB. Mossa, F. Ducros, B. Cuenot)

The capacities of AVBP for gaseous reacting flows are now sufficiently clear to recognize that a step must be taken to move to two-phase flows. The choice CERFACS has been to address this problem from a novel point of view: instead of using a Lagrangian formulation for droplets and coupling it to the gas equations, it was decided to write a full Euler Euler code. This involves first a number of numerical challenges linked to the coupld resolution of the two phase set of equations. A beta-version of the code resolving the basic Eulerian/Eulerian compressible transport equations for particles laden flows has been written in AVBP and tested in 2001, mainly to check numerical stability issues. Many points have been discussed with O. Simonin (IMFT/EDF). A more elaborated implementation has been started motivated by an enhanced interest expressed by industry. The related work will be the basis of the PRC combustion in collaboration with ONERA-Toulouse: during this program, Euler / Lagrange (at ONERA) and Euler / Euler formulations (at CERFACS) will be tested for LES in AVBP. This will also allow comparisons between both approaches.

3.3.3   LESFOIL -- Unsteady computations over an airfoil (F. Ducros)

The European LESFOIL project has ended in 2000. During this project many problems have been investigated: numerical stability for complex geometry simulation, cross comparisons between wall-resolved and wall-functions for LES and between structured and unstructured solvers. Most of the results confirm pioneering results previously obtained at CERFACS [Weber, 2000] In particular, it is shown that the use of wall-functions (developed in both the AVBP and NSMB solvers) yields acceptable results concerning flow separation, but reveals strong difficulties to deal with transition near the leading edge.

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