Abstract
We develop a central scheme for multi-fluid flows in Lagrangian coordinates. The main contribution is the derivation of a special equation of state to be imposed at the interface in order to avoid non-physical oscillations. The proposed scheme is validated by solving several tests concerning one-dimensional hyperbolic interface problems.
This is a preview of subscription content, log in via an institution to check access.
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
R. Fazio and R. J. LeVequeMoving-mesh methods for one-dimensional hyperbolic problems using CLAWPACKto appear on Comput. & Math. Appl. (2001).
R. P. Fedkiw, T. Aslam, B. Merriman and S. OsherA non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)J. Comput. Phys.152(1999), 457–492.
P. Jenny, B. Müller and H. ThomannCorrection of conservative Euler solvers for gas mixtureJ. Comput. Phys.132(1997), 91–107.
S. KarniHybrid multifluid algorithmsSIAM J. Sci. Comput.17(1996), 1019–1039.
H. Nessyahu and E. TadmorNonoscillatory central differencing for hyperbolic conservation lawsJ. Comput. Phys.87(1990), 408–463.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Basel AG
About this paper
Cite this paper
Fazio, R., Russo, G. (2001). A Lagrangian Central Scheme for Multi-Fluid Flows. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_36
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8370-2_36
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9537-8
Online ISBN: 978-3-0348-8370-2
eBook Packages: Springer Book Archive