Mathematical problems of calculating the multi-zone models of a cycle of internal combustion engine with spark ignition
D. V Apelinskiy , I. M Shenderovskiy , K. S Runovskiy
Izvestiya MGTU MAMI ›› 2013, Vol. 7 ›› Issue (1-1) : 15 -22.
Mathematical problems of calculating the multi-zone models of a cycle of internal combustion engine with spark ignition
The article describes the features of mathematical models of internal combustion engine cycles which do not allow to put ordinary differential equations (ODE) of these models in the Cauchy form. The authors proposed a stable algorithm of numerical integration of ODE systems that are not solved with respect to derivatives, using Hermite splines and methods of nonlinear programming.
method of control volumes / multi-zone model / Blizzard – Keck model / mass and energy balance equations / barotropic flow / Cauchy problem / a system of ordinary differential equations that are not resolved with respect to derivatives / jet space / Hermite splines / the mean-square error / nonlinear programming
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Apelinskiy D.V., Shenderovskiy I.M., Runovskiy K.S.
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