An Adaptive Method of Lines for the Simulation of Complex Laminar Combustion Processes an Adaptive Method of Lines for the Simulation of Complex Laminar Combustion Processes

For the simulation of one-dimensional ame conngurations reliable numerical tools are needed which have to be both highly eecient (large number of para-metric calculations) and at the same time accurate (in order to avoid numerical errors). This can only be accomplished using fully adaptive discretization techniques both in space and time together with a control of the discretization error. We present a method which accomplishes this task. It is based on an adaptive MOL (method of lines) treatment. Space discretization is done by means of nite diierence approximations on non-uniform grids. Time is discretized by the linearly-implicit Euler method. In order to control the discretizations errors an extrapolation procedure is used in space and time. Results are presented for simple laser-induced ignition processes. The method, however can be applied to other combustion processes, too.