Abstract
In this contribution we present recent stability results concerning the numerical approximation of initial-boundary value problems for the equations of fluid motion. Our special interest is aimed at the process of the reflection of fluid motion from an impermeable boundary — an oblique wall.
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
B. Gustafsson, H.-O. Kreiss, A. Sundström, Stability Theory of Difference Approximations for Mixed Initial-Boundary Value Problems. II, Math. Comp., Vol. 26, No. 119, 649–686 (1972)
K. Kantiem, Numerical Investigation of the two-dimensional Shock Wave Reflection, Arch. Mech. 46, 5, 639–651 (1994)
K. Kantiem, On numerical Stability of Boundary Conditions for the Equations of Fluid Mechanics, Ph.D. Thesis, Warsaw University 1994, Warsaw (Poland )
K. Kantiem, W. Zaj’Czkowski, The Existence and Uniqueness of Solutions of Equations for Ideal Compressible Polytropic Fluids, to appear
R. W. Maccormack, Numerical Solution of the Interaction of a Shock Wave with a Laminar Boundary Layer, Proceedings of the 2nd International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics 8, 151–163 (1970)
D. Michelson, Stability Theory of Difference Approximations for Multidimensional Initial-Boundary Value Problems, Math. Comp., Vol. 40, No. 161, 1–45 (1983)
T. J. Poinsot, S. K. Lele, Boundary Conditions for Direct Simulations of Compressible Viscous Flows, J. Comp. Phys. 101, 104–129 (1992)
J. Rauch, Symmetric Positive Systems with Boundary Characteristic of Constant Multiplicity, Trans. AMS 291, No. 1, 167–187 (1985)
P. Secchi, The Initial Boundary Value Problem for Linear Hyperbolic Systems with Characteristic Boundary of Constant Multiplicity, Pisa Univ., Dept. of Math., preprint 2. 153 (768), 1993
A. Tani, On the First Initial-Boundary Value Problem of Compressible Viscous Fluid Motion, Publ. Res. Inst. Math. Sci. 13, 193–253 (1977)
A. Valli, An Existence Theorem for Compressible Viscous Fluids, Ann. Mat. Pura Appl. (IV) 130, 197–213 (1982)
Z. A. Walenta, private communication
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 John Wiley & Sons Ltd and B. G. Teubner
About this chapter
Cite this chapter
Kantiem, K., Palczewski, A. (1996). The Numerical Investigation of the Two-dimensional Shock Wave Reflection. In: Neunzert, H. (eds) Progress in Industrial Mathematics at ECMI 94. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-82967-2_8
Download citation
DOI: https://doi.org/10.1007/978-3-322-82967-2_8
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-82968-9
Online ISBN: 978-3-322-82967-2
eBook Packages: Springer Book Archive