Introduction to Powertrain Modeling

Course Content

• Introduction to modeling

  • Basics of modeling and numerical simulation. Simulation in the design process of a powertrain system. Notions of model reduction. Mathematical models, statistical and physical. Numerical schemes of resolution, operating solvers, numerical errors and waste. Issues of numerical modeling, cost saving, time saving, design cycle.

• 0D, 1D, 3D fluid modeling & simulation

  • 0D fluid modeling and simulation:
  • Conservation of mass, momentum and energy, nature of the flow.
  • 1D fluid modeling and simulation:
  • Navier-Stokes 1D. Digital resolution scheme solvers. Modeling components. Determination of calibration and component models.
  • 3D fluid modeling and simulation:
  • Eulerian approach and Lagrangian. Turbulence models. Digital resolution scheme. Concept of coupling with the 1D modeling. Modeling components.

• 0D, 1D, 3D combustion & emissions modeling & simulation

  • 0D 1 zone combustion and emissions modeling and simulation:
  • Heat, creating chemical species kinetic concept of self-ignition delay, notions rattling, premixed flame and diffusion, statistical aspects related to combustion models. 0D 1 zone models heat rate imposed.
  • 0D 2 zones combustion and emissions modeling and simulation:
  • Notion of burning rate and heat rate. 0D 2 zones models.
  • 1D multizone combustion and emissions modeling and simulation:
  • Predictive models in three zones, closure equations. Spark ignition predictive model: 1D flame propagation models for gasoline engines, richness and knock modeling. Diesel Predictive: multi-zone model. Predictive modeling of emissions, emissions modeling statistics.
  • 3D multizone combustion and emissions modeling and simulation:
  • Basics of 3D modeling, velocity laminar and turbulent coupling aero-combustion cycle to cycle variation. Model calibration, recalibration of combustion models.

• 0D, 1D, 3D thermal modeling & simulation

  • 0D thermal modeling and simulation:
  • Conduction, natural and forced convection, radiation, thermal inertia, heat balance equations. Powertrain heat transfer modeling.
  • 1D thermal modeling and simulation:
  • Modeling components.
  • 3D thermal modeling and simulation:
  • Application: parametric study of the filling of a motor.

• 0D, 1D, 3D mechanical modeling & simulation

  • 0D mechanical modeling and simulation:
  • Fundamentals of mechanical modeling: inertia, stiffness and damping, spring mass system complete. Modeling of mechanical components: masses, springs, dampers, motion conversion, reduction, strength, speed.
  • 1D mechanical modeling and simulation:
  • Fundamentals of mechanical modeling 1D: torsional deformations. Different types of modeling: 1D or input-output transfer functions built on the basis of a 1D model. Frequency approach and temporal approach. Modeling components: motion conversion and trees and moments of inertia.
  • 3D mechanical modeling and simulation:
  • Fundamentals of mechanical 3D modeling, strains and stresses.

• Powertrain modeling & simulation for tuning: theory

  • Issues of models in the development of engines. The Design of Experiment (DoE): principles. Statistical modeling and model identification, neural networks. Search for an optimum setting: principles, management of international trade services.

• Powertrain modeling & simulation for tuning: practice

  • Presentation of development tools using numerical models and optimization algorithms.
  • Examples of applications in the development of diesel and spark ignition engines.

• Engine management modeling & simulation

  • Using the modeling in W cycles development strategies and control systems. Concepts of real time operating system, modeling of an operating system. Basic commands and digital controllers, applications regulator Proportional Integral Derivative (PID).