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− | The FLAMEX Solver | + | ==The FLAMEX Solver== |
[[File:Flamex.jpg|240px]] | [[File:Flamex.jpg|240px]] | ||
− | + | FLAMEX is a suite of solvers able to compute high accuracy solutions to asymptotics-based evolution equations (EE). | |
+ | For propagatong fronts, the EEM (Evolution Equation Modeling) can be found by solving exactly the set of | ||
+ | * Euler equations | ||
+ | * Rankine-Hugoniot jump relations | ||
+ | * the local kinematic relation defining the local front velocity (e.g. with respect to local curvature). | ||
+ | when the density contrast between 'hot' and 'cold' fluids is asymptotically small. | ||
+ | |||
+ | |||
+ | {| class="wikitable" | ||
+ | |+ Examples of obtained EEM: for 2D planar, 3D planar, or 3D expanding fronts | ||
+ | |[[File:OUIEEM-1D-2D.png|400 px]] | ||
+ | |[[File:OUIEqEEM_1D.png|400 px]] | ||
+ | |} | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | == Main features == | ||
+ | |||
+ | * Solving first-order or second order EE in the Fourier or Fourier-Legendre basis. | ||
+ | * Time resolution using ETDRK1 and 4, using contour integrals to avoid cancelation errors (Trefethen et al. 2005) | ||
+ | * Laminar or turbulent configurations (EE with additive noise, e.g. Passot-Pouquet, Kraichnan-Celik, Von Karman/Pao or 'DNS turbulence') | ||
+ | |||
+ | |||
+ | |||
+ | ==Sub-module for asymptotic modeling of Flame-Balls== | ||
+ | |||
+ | A sub-module of FLAMEX has also been devoted to the | ||
+ | |||
+ | |||
+ | == Sample Results == | ||
+ | * See some comparisons between FLAMEX and DNS (HALLEGRO) results [http://www.coria-cfd.fr/index.php/H-Allegro#Direct_simulation_of_propagating_flames:_3D_expanding_front_.28Eric_Albin_.26_Yves_D.27Angelo.29] | ||
+ | * More details (and comparisons with experimental results) in |
Revision as of 10:56, 1 April 2016
Contents
The FLAMEX Solver
FLAMEX is a suite of solvers able to compute high accuracy solutions to asymptotics-based evolution equations (EE). For propagatong fronts, the EEM (Evolution Equation Modeling) can be found by solving exactly the set of
- Euler equations
- Rankine-Hugoniot jump relations
- the local kinematic relation defining the local front velocity (e.g. with respect to local curvature).
when the density contrast between 'hot' and 'cold' fluids is asymptotically small.
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![]() |
Main features
- Solving first-order or second order EE in the Fourier or Fourier-Legendre basis.
- Time resolution using ETDRK1 and 4, using contour integrals to avoid cancelation errors (Trefethen et al. 2005)
- Laminar or turbulent configurations (EE with additive noise, e.g. Passot-Pouquet, Kraichnan-Celik, Von Karman/Pao or 'DNS turbulence')
Sub-module for asymptotic modeling of Flame-Balls
A sub-module of FLAMEX has also been devoted to the
Sample Results
- See some comparisons between FLAMEX and DNS (HALLEGRO) results [1]
- More details (and comparisons with experimental results) in