Summary
In this paper we want to describe how we solved an industrial flow problem, the simulation in a simplified two—stroke engine. The numerical method we are using is an upwind finite volume method on an unstructured grid with arbitrary finite volumes. The grid fineness is adapted locally to a get a better resolution of important flow structures. The boundaries of the calculation domain are moving. Essential for the development for such a numerical algorithm is the graphical support to find programming errors and of course to visualize the calculated data. We will analyse the demands for the necessary graphics, which is provided by the graphical programming environment GRAPE. Furthermore we will present some of the numerical results of standard test problems in 2D and 3D to validate our numerical algorithm.
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
E. Bänsch, An Adaptive Finite-Element Strategy for the Three-dimensional Time-dependent Navier-Stokes equations, Journal of Computational and Applied Mathematics 36 (1991), 3–28.
P. H. Epstein, R. D. Reitz, and D. E. Foster, Computations of a Two-Stroke Engine Cylinder and Port Scavenging Flows, SAE 910–672.
T. Gessner, Zeitabhängige Adaption für Finite Volumen Verfahren höherer Ordnung, Diplomarbeit, 1994, Bonn.
M. Gelben and M. Rumpf, Visualization of Finite Elements and Tools for Numerical Analysis, in: Advances in Scientific Visualization, F. H. Post and A. J. Hin (Eds.), Springer Lecture Series Band, Workshop Proceedings, 1993.
Sonderforschungsbereich 256, Grape Manual, University of Bonn, 1995, http://www.iam.uni-bonn.de/main.html.
R.-T. Happe, M. Rumpf, M. Wierse, and K. Poltrier, Visualizing Data from Time-Dependent Adaptive Simulations. To appear in the Proceedings of “Visualization 95”, Bremen.
D. Kröner, S. Noelle, and M. Rokyta Convergence of Higher Order Finite Volume Schemes on Unstructured Grids for Scalar Conservation Laws in Two Space Dimensions, Numerische Mathematik 71, 1995.
Y. G. Lai, A. J. Przekwas, and R. L. T. Sun, CFD Simulation of Automotive I. C. Engines with Advanced Moving Grid and Multi-Domain Methods, AIAA-93–2953.
K. Polthier and M. Rumpf, A Concept for Time-Dependent Processes, in: M. Göbel, H. Müller, and B. Urban (eds.), Visualization in Scientific Computing, Springer Verlag (1995), 137–153.
M. Rumpf, A. Schmidt, and K. G. Siebert, Functions defining arbitrary meshes, a flexible interface between numerical data and visualization routines, Report, SFB 256, Bonn, to appear in Computer Graphics Forum.
A. Wierse and M. Rumpf, GRAPE, Eine objektorientierte Visualisierungsund Numerikplattform, Informatik Forschung und Entwicklung 7 (1992), 145–151.
M. Rumpf, M. Leiben, and T. Gessner, Moving and Tracing in Time-dependent Vector Fields on Adaptive Meshes, Report 12, SFB 256.
M. Rumpf, A. Schmidt et. al., GRAPE, GRAphics Programming Environment, Report 8, SFB 256, Bonn, 1990.
J. Steger, On the Use of Composite Grid Schemes in Computational Aerodynamics, Computer Methods in Applied Mechanics and Engineering 64 (1987), 301–320.
J. L. Steger and R. F. Warming, Flux Vector Splitting of the Inviscid Gasdynamit Equations with Application to Finite-Difference Methods, Journal of Computational Physics 40 (1981), 263–293.
M. Wierse, Solving the compressible Euler equations in time-dependent geometries, Preprint (to appear in the Proceedings of the Fifth International Conference on Hyperbolic Problems, Stony Brook, 1994)
M. Wierse, Higher Order Upwind Schemes on Unstructured Grids for the Compressible Euler Equations in Time-dependent Geometries in 3D, Dissertation, Freiburg, 1994. Preprint 393, SFB 256, Bonn.
P. R. Woodward and P. Colella, The Numerical Simulation of Two—Dimensional Flow with Strong Shocks, Journal of Computational Physics 54 (1984), 115–173.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Wierse, M., Geßner, T., Kröner, D. (1997). Numerical Methods, Simulations and Visualization for Compressible Flows. In: Hege, HC., Polthier, K. (eds) Visualization and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59195-2_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-59195-2_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63891-6
Online ISBN: 978-3-642-59195-2
eBook Packages: Springer Book Archive