The method of constructing dynamically adapting calculation grids for solving problems with unstable (relaxational or oscillatory) type of solution behavior is presented. Stable and pulsed modes of laminar combustion in a wide range of values of the Lewis number and activation energy are investigated using mathematical modeling. The efficiency of the method as to the operation speed and the number of nodes used is estimated. Mathematical modeling shows that application of dynamic adaptation makes it possible to reduce the number of grid nodes by 1-2.5 orders and increase the operation speed by 2-50 times.
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Mazhukin et al. (2003) studied this question.
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