Coupled simulation in vehicle engineering

Abstract

Modern vehicles are highly complex systems consisting of many subsystems in various physical domains, e.g. electric, electronic, hydraulic and control systems that dynamically interact. For any subsystem, there are tailored simulation tools with specifically developed and adapted numerical solvers. In this context, co-simulation strategies are particularly attractive, where each submodel is solved with appropriate numerical methods. In industrial applications, one is hereby confronted with enormous numerical challenges with respect to efficiency, accuracy and numerical stability -especially in online applications. In this article, we present co-simulation strategies by means of selected application examples from the field of vehicle engineering.

The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method

“…was …rstly presented in 1918 by Bateman has been used as a mathematical model in several …elds such as gas dynamics, number theory, elasticity theory, heat conduction, hydrodynamic waves, shock wave theory, elastic waves, termaviscous ‡uids, and turbulence theory [22]. Many scientists have been worked on obtaining numerical and exact solutions for not only Burgers'equation [23,24]. Then, the fractional Burgers'equation…”

On the Solution of Burgers’ Equation with the New Fractional Derivative

“…J.M. Burgers expounded on this in his studies between 1939-1965 [10,11]. Since then, Burgers' equation has been used as a mathematical model in numerous areas such as number theory, gas dynamics, heat conduction, elasticity theory, turbulence theory, shock wave theory, fluid mechanics, termaviscous fluids, hydrodynamic waves and elastic waves [12][13][14][15].…”