THE METHOD OF CONSTRUCTING DYNAMICALLY ADAPTING GRIDS FOR PROBLEMS OF UNSTABLE LAMINAR COMBUSTION

V. I. Mazhukin, I. Smurov, A. V. Shapranov, M. M. Demin
2003 Numerical Heat Transfer, Part B Fundamentals  
The method of constructing dynamically adapting calculation grids for solving problems with unstable (relaxational or oscillatory) type of solution behavior is presented. Stable and 15 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
more » ... akes it possible to reduce the number of grid nodes by 1-2.5 orders and increase the operation speed by 2-50 times. 10 A number of theoretical studies [8] [9] [10] [11] have been devoted to finding the conditions for thermal stability in combustion of gaseous media. However, numerical modeling of unstable and self-oscillatory modes of combustion are still a rather hard computational problem [8] , which is manifested, in particular, in the necessity of 60 using calculation grids with a very large number of nodes [11] . The dynamical adaptation method for solving unstable problems has been suggested in [12, 13] , and was found to be highly efficient in solving problems with mobile boundaries and large gradients of solution. Application of this method makes it possible to solve problems with automatic isolation of strong discontinuities, such 65 6 V. I. MAZHUKIN ET AL.
doi:10.1080/713836407 fatcat:lujmiu7d65gzddj2dnw3eulv2q