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.
Numerical Integration of Pressure Build-Up Volumes Using an
L-Stable Rosenbrock Method
- Views Icon Views
- Share Icon Share
- Search Site
Esque´, S, Ellman, A, & Piche´, R. "Numerical Integration of Pressure Build-Up Volumes Using an L-Stable Rosenbrock Method." Proceedings of the ASME 2002 International Mechanical Engineering Congress and Exposition. Fluid Power Systems and Technology. New Orleans, Louisiana, USA. November 17–22, 2002. pp. 111-116. ASME. https://doi.org/10.1115/IMECE2002-39343
Download citation file: