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527-535. , "Numerical Simulation of Flame Disturbance Growth Induced by a Pressure Gradient," (to be published). 82 Macormack, P. , "Flame Propagation in a Vortex Core," Combustion and Flame, Vol. 19, 1972, pp. 297-303. , "On the Flame Propagation in a Rotating Flow Field," Combustion and Flame, Vol. 82, 1990, pp. 176-190. ^Ishizuka, S. , "Behavior of Propagating Flames in a Rotating Flow Field," Thirteenth International Colloquium on Dynamics of Explosions and Reactive Systems, Nagoya, Japan, 1990.
9) increases the temporal stiffness of the equation system. To reduce the stiffness introduced by the algebraic equation, a temporal smoothing has to be performed by introducing the variable n: By replacing n in Eq. (9) by n, the algebraic equation is transformed into a differential equation describing the position of the grid points: /dn»'_i 9 \ \ J4 Ql 1 /^l \JTj_l ^ dn^ Ji\ _ _^«_ __ ^«-i Jj. dl S~1 I (jTj J /~1 CjTj /~1 (jTj_l In Eqs. (11-13), rg is the time constant of the grid adaption. Equation (13) is nothing else than the formulation of the equidistribution principle of Eq.
Simple Adaptive Grids for 1-D Initial Value Problems", Journal of Compupational Physics, Vol. 69, March 1987, pp. 175-195. 2 Furzeland, R. , Verwer, J. , and Zegeling, P. , "A Numerical Study of Three Moving Grid Methods for One-Dimensional Partial Differential Equations Which Are Based on the Method of Lines", Report NM-R8806, Centre for Mathematics and Computer Science, Amsterdam, the Netherlands, 1988. , "A Moving Grid Method Applied to One-Dimensional Nonstationary Flame Propagation", International Journal on Numerical Methods in Fluids, Vol.