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Numerical Integration of Pressure Build-Up Volumes Using an L-Stable Rosenbrock Method

[+] Author Affiliations
Salvador Esqué, Asko Ellman, Robert Piché

Tampere University of Technology, Tampere, Finland

Paper No. IMECE2002-39343, pp. 111-116; 6 pages
doi:10.1115/IMECE2002-39343
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Fluid Power Systems and Technology
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Fluid Power Systems and Technology Division
  • ISBN: 0-7918-3631-2 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

Simulation of fluid power systems has become a tool widely used for testing, designing and virtual prototyping. The choice of a numerical integration method for solving stiff systems of ordinary differential equations is a key factor for achieving proper stability and computational efficiency during simulation. Whereas widely used A-stable methods require small integration step sizes in order to avoid numerical oscillations when solving numerically stiff problems, the L-stable Rosenbrock method presented in this paper can take large steps. The method is implemented with an estimator of the local truncation error and a predictor of the step size. Simulations results show the good performance of the integrator in terms of both stability and efficiency.

Copyright © 2002 by ASME

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