Abstract
We describe the main steps in the development of a new numerical tool for simulating gas flow and heat transfer in a rotary engine (“Wankel motor”). Our approach comprises a 2D/3D grid generator for the Wankel motor geometry, an implicit finite element discretization for coping with the stiff pressure-velocity coupling and robust multigrid solvers on strongly distorded meshes. These components are implemented within a new FE-software package named Hi-Flow++ which is presently under development.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Abraham, D. Ramoth, J. Mannisto, 3-D steady-state wall heat flux and thermal analysis of a stratified-charge rotary engine, SAE, Society of Automative Engineers, Technical Paper Series, Nr. 910706, 1991.
W.-D. Bensinger, Rotationskolben-Verbrennungsmotoren, Springer-Verlag, 1973.
R. Becker, M. Braack, R. Rannacher: Numerical simulation of laminar flames at low Mach number by adaptive finite elements, Combust. Theory Modelling. 3, 503–534, 1999.
M. Braack, R. Rannacher, Adaptive finite element methods for low-Machnumber flows with chemical reactions, Lecture Series 1999-03, 30th Computational Fluid Dynamics, The von Karman Institute, Belgium, 1999.
S. C. Brenner and R. L. Scott (1994), The Mathematical Theory of Finite Element Methods, Springer, Berlin-Heidelberg-New York.
T. J. R. Hughes and A. N. Brooks, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equation, Comput. Meth. Appl. Mech. Engrg., 32, pp. 199–259, 1982.
P. Houston, R. Rannacher, E. Süli: A posteriori error analysis for stabilised finite element approximations of transport problems, Preprint 99-26, SFB 359, University of Heidelberg, to appear in J. Comput. Mech. (1999).
P. Lesaint and R. Touzani: Approximation of the heat equation in a variable domain with application to the Stefan problem, SIAM J. Numer. Anal. 26, 366–379 (1989).
A. Majda, Compressible fluid flow and systems of conservation laws in several space varables Springer-Verlag, New York, 1984.
R. Rannacher: Adaptive finite element methods for flow problems, Proc. 88th Int. Symp. on Comput. Fluid Dynamics, Bremen, Sept. 5-10, 1999, to appear in J. Japan Society of CFD.
R. Becker, M. Braack, R. Rannacher: Adaptive finite element methods for flow problems, Proc. Foundations of Computational Mathematics 99, Cambridge University Press 2000
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Rannacher, R., Heuveline, V. (2003). A Numerical Tool for Flow Simulation in a Wankel Motor. In: Jäger, W., Krebs, HJ. (eds) Mathematics — Key Technology for the Future. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55753-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-55753-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62914-3
Online ISBN: 978-3-642-55753-8
eBook Packages: Springer Book Archive