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Numerical modeling of laminar flames
IntroductionThe equations that describe laminar flames are characterized by the presence of high activity regions, where most of the activity is concentrated. There, gradients are quite large compared to those in the rest of the domain. When solving such problems nume- rically, this solution behaviour requires a much finer grid in the high activity region, or flame front, than in the zones where the solution is fairly smooth.
Laminar reacting flow equationsLaminar recting flows can be described by the following equations
Local Defect Correction (LDC) methodThe LDC method uses the solution computed on the fine grid to improve the coarse grid solution. It works as follows:
Test problemLDC technique has been implemented with several fine grid types. The following test problem is described by the two-dimensional convection-diffusion-reaction equation
where f is such that the exact solution is given by
Curvilinear orthogonal gridThey are made such that a set of coordinate lines follows the level curves.
Application of LDC in combination with slanting and curvilinear fine grids to real flame problems.
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