A PRESSURE CORRECTION LOCAL DEFECT CORRECTION ALGORITHM FOR LAMINAR FLAME SIMULATION

ear boundary value problem, multi-level local defect correction. Abstract. We present a numerical algorithm to solve the zero-Mach number approxi-mation of the governing equations for laminar flames. The ingredients of the algorithm are a Pressure Correction (PC) method to decouple the computation of velocity and pres-sure, and a multi-level Local Defect Correction (LDC) method to solve the resulting set of (non)linear boundary value problems. The PC method is based on a constraint equation, rather than the continuity equation, describing expansion of the gas mixture due to combus-tion. Moreover, we combine the PC method with implit Euler time integration to compute steady flames. Boundary value problems for laminar flames are characterised by a high activity region, the so-called flame front, where the solution varies rapidly. The basic idea of the LDC method is to compute a global coarse grid solution, that is accurate enough to represent the solution outside the flame front, and a sequence of local fine grid solutions to capture all the details in the flame front. Moreover, these fine grid solutions are sub-sequently used to improve the coarse grid solution by a defect correction technique. We have applied our PC LDC algorithm to simulate a two-dimensional methane/air flame.