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- W2183188346 abstract "Summary A fictitious domain method is extended and implemented fo r time dependent combustion problems in non-regular closed domains. The propagation of 2D laminar methane-air flame in a tube with obstacles are simulated and studied. BACKGROUND A fictitious domain method (FDM) for partial differential equations has recently shown a most interesting potential for solving complicated problems from Scien ce and Engineering [1-3]. The main reason for popularity of FDM is that they allow using of fairly structured meshes on a simple shape fictitious domain (typically rectangle in 2D) containing the actual domain, therefore allowing to use of fast solvers. Another important point is that the stability condition of the resulting scheme is the same as the one of the finite differe nce scheme [1]. Up to now a FDM was used for solving the problems of physics with Dirichlet boundary conditions. But many problems of science are Neumann problems (for example, like the combustion problems) and applicatio n of FDM to them has essential peculiarities. PROBLEM FORMULATION AN D NUMERICAL TECHNIQUE A fictitious domain method is extended and implemented fo r combustion problems in non -regular domains. The most prominent example of those problems is the propagation of flame in a tube with obstacles. It is known that the combustion process of premixed gases in tubes or vessels is strongly affected by obstacles. For freely propagating flames grids or obstacles can cause violent flame acceleration and enhanced tr ansition to detonation. It is considered the cases when 2D flame propagates in a closed rectangular tube with obstacles and we focus our attention on its numerical solution by FDM approach to study the hydrodynamic structure of the flame. The combustible gas is a stoichiometric meth ane-air mixture. The study is based on the assumption of a low Mach number flow and uses a one-step global chemistry model of the methane-air laminar flame. The problem is simulated using unsteady conservation equations of energy, species, mass, mome ntum and equation of state. The transport coefficients, thermodynamic data, kinetic coefficients and numerical algorithm are given elsewhere [4-5]. The fictitious transport coefficients are" @default.
- W2183188346 created "2016-06-24" @default.
- W2183188346 creator A5085115339 @default.
- W2183188346 date "2003-01-01" @default.
- W2183188346 modified "2023-09-27" @default.
- W2183188346 title "SIMULATION OF FLAME PROPAGATION IN A TUBE WITH OBSTACLES" @default.
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