Email this article Mathematical problems of calculating the multi-zone models of a cycle of internal combustion engine with spark ignition
- Authors: Apelinskiy D.V1, Shenderovskiy I.M1, Runovskiy K.S1
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Affiliations:
- Moscow State University of Mechanical Engineering
- Issue: Vol 7, No 1-1 (2013)
- Pages: 15-22
- Section: Articles
- URL: https://ogarev-online.ru/2074-0530/article/view/68115
- DOI: https://doi.org/10.17816/2074-0530-68115
- ID: 68115
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Abstract
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.
Keywords
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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##article.viewOnOriginalSite##About the authors
D. V Apelinskiy
Moscow State University of Mechanical Engineering
Email: apelinskiy_mami@mail.ru
Ph.D.; +7 (495) 223-05-23 ext. 1467
I. M Shenderovskiy
Moscow State University of Mechanical Engineering+7 (495) 223-05-23 ext. 1467
K. S Runovskiy
Moscow State University of Mechanical EngineeringPh.D.; +7 (495) 223-05-23 ext. 1467
References
- Poulos G., Heywood J.B. The Effect of Chamber Geometry on Spark-Ignition Engine Combustion. “SAE Techn. Pap. Ser.”, 1983, 830334. pp. 24.
- Ортега Дж., Пул У. Введение в численные методы решения дифференциальных уравнений. М.: «Наука», 1986. 288 с.
- Виноградов А.М., Красильщик И.С., Лычагин В.В. Введение в геометрию нелинейных дифференциальных уравнений. М.: «Наука», 1986. 336 с.
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