Abstract
High resolution Godunov-type methods have gained increasing popularity in the last decade due to their ability in modelling highly supersonic flows. Most of these shock-capturing schemes are based on the solution of the Riemann problem between discontinuous data at each cell's interface. The purpose of this work is to investigate the role played by different Riemann solvers in the evolution of a supersonic jet. Morphology, dynamics, conservation properties and cocoon characteristics are examined for the four different cases presented.
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References
Colella, P. and Woodward, P.: 1984, J. Comput. Phys. 54, 174.
Cockburn, B. and Shu, C.W.: 1998, J. Comput. Phys. 141, 199.
Davis, S.F.: 1988, SIAM, J. Sci. Stat. Comput. 9, 445.
Einfeldt, B., Munz, C.D., Roe, P.L. and Sjögreen, B.: 1991,J. Comput. Phys. 92, 273.
Harten, A., Lax, P.D. and van Leer, B.: 1983, SIAM Rev. 25(1), 35.
Roe, P.L.: 1981, J. Comput. Phys. 43, 357.
Roe, P.L. and Pike, J.: 1984, In Computing Methods in Applied Science and Engineering, INRIA, North Holland, 499.
Rusanov, V.V.: 1961, J. Comput. Math. Phys. USSR 1, 267
Strang, G.: 1968, SIAM J. Numer. Anal. 5(3), 506.
Toro, E.F.: 1999, Riemann Solvers and Numerical Methods for Fluid Dynamics, Springer-Verlag.
LeVeque, R.J., Mihalas, D., Dorfi, E.A. and Müller, E.: 1998, Computational Methods for Astrophysical Flow, 27th Saas-Fee advanced course notes, Springer-Verlag.
Yee, H.C.: 1989, Von Karman Institue of Fluid Dynamics, Lecture Series 1989-04.
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Mignone, A., Massaglia, S. & Bodo, G. Astrophysical Jet Simulations: Comparing Different Numerical Methods. Astrophysics and Space Science 293, 199–207 (2004). https://doi.org/10.1023/B:ASTR.0000044668.90635.f7
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DOI: https://doi.org/10.1023/B:ASTR.0000044668.90635.f7