Abstract
To solve the ID Euler equations for compressible low Mach number flow, we investigated two flux-vector splittings. Both splittings are applied to a quasi one-dimensional nozzle flow, using the explicit as well as a semi-implicit Euler scheme with a finite volume upwind formulation. Results at low and very low Mach numbers are compared with calculations using the Roe scheme. À von Neumann stability analysis was carried out for the more promising scheme based on a convection-pressure splitting.
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References
N. Botta, M. Pandolfi: Private communication, April 1992
C. L. Merkle, Y. Choi: Computation of Low-Speed Flow with Heat Addition AIAA-J, Vol 25,NO 6,June 1987.
B. van Leer, T. Lee, P. Roe: Characteristic Time-Stepping or Local Preconditioning of the Euler Equations AIAA Paper 91–1552-CP, 1991.
E. Turkei: Preconditioned Methods for Solving the Incompressible and Low Speed Compressible Navier-Stokes Equations JCP Vol 72, No.2, Oct 1987, pp.272–298.
B. Gustafsson: Unsymetric Hyperbolic Systems and Almost Incompressible Flow. , Notes on Numerical Fluid Mechanics, Vol.24 Vieweg, 1989.
S. Abarbanel, P. Dutt, D. Gottlieb: Splitting Methods for Low Mach. Number Euler and Navier Stokes Equations. Computers & Fluids, Vol. 17,No.1 pp.1–12, 1989.
C. Hirsch: Numerical Computation of Internal and External Flows, Vol.2, Wiley 1988
S.G. Eubin: RNS/EULER Pressure Relaxation and Flux Vector Splitting. Computers & Fluids, Vol.16, No.4, pp. 485–490, 1988
R.J LeVeque: Intermediate Boundary Conditions for Time Split Methods Applied to Hyperbolic Partial Differential equations Mathern of Computation Vol.175, July 1986 pp. 37–54.
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© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Sesterhenn, J., Müller, B., Thomann, H. (1993). Flux — Vector Splitting for Compressible Low Mach Number Flow. In: Donato, A., Oliveri, F. (eds) Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Notes on Numerical Fluid Mechanics (NNFM), vol 43. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87871-7_64
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DOI: https://doi.org/10.1007/978-3-322-87871-7_64
Publisher Name: Vieweg+Teubner Verlag
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Online ISBN: 978-3-322-87871-7
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