Summary
In search of reliable computational methods for cosmic flow problems, we apply several commonly used algorithms and one new algorithm, to a representative problem in galactic gas dynamics. A careful choice of the algorithm used in a calculation is found to be of the utmost importance in obtaining reliable results. Two methods most commonly employed in astronomy (the Beam scheme and FCT methods) prove to be highly unsuitable for our test problem. The penalty in programming effort and computer time per grid point required for the best second-order accurate codes tested is more than offset by the improvement in accuracy obtained and the possibility to reduce the number of points in a grid.
The National Radio Astronomy Observatory is operated by Associated Universities, Inc., under contract with the National Science Foundation.
This work was supported under NASA Contract No. NAS1-14472 while the author was in residence at ICASE, NASA Langley Research Center, Hampton, VA 23665
This work was supported in part by the National Science Foundation under Grant AST-7909935; partial support was also recieved under NASA Contract No. NAS1-15810 while the author was in residence at ICASE, NASA Langley Research Center, Hampton, VA
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References
Book,D.L., Boris, J.P., Hain,K.H.: 1975.J. Computational Phys. 18, 248
Boris, J.P.: 1976, U. S. Naval Research Laboratory Memorandum Report 3237
Boris, J.P., Book,D.L.: 1973,J. Computational Phys. 11, 38
Chorin,A.J.: 1976,J. Computational Phys. 22, 517
Godunov, S.K.: 1959,Mat. Sb.47, 271 (also see Cornell Aeronautical Lab. Transl.)
Hancock, S.L.: 1980 (private communication)
Harten, A., Lax,R.D., Van Leer,B.: 1981, ICASE Report (in preparation )
Klopfer, G.H., McRae, D.S.: 1981, Proc. of AIAA Computational Fluid Dynamics Conference, Palo Alto, CA, 317
Lax, P.D., Wendroff,B.: 1960,Comm. Pure Appi. Math. 13, 217
Liebovitch,L.S.: 1978, Ph. D. Thesis. Harvard University
Lin,C.C, Lau, Y.Y.: 1979,Studies in Appi. Math. 60, 97
Lin, C.C., Shu,F.H.: 1964,Astrophys. J. 140, 646
Lin,C.C, Shu,F.H.: 1966,Proc. Natl. Acad. Sci. USA 55, 229
MacCormack, R.W.: 1969, AIAA Paper No. 69–354
Roberts, W.W.: 1969,Astrophys. J. 158, 123
Sanders, R.H., Prendergast,K.H.: 1974,Astrophys. J. 188, 489
Shu,F.H., Milione, V., Roberts, W.W.: 1973,Astrophys. J. 183, 819
Sod,G.A.: 1978,J. Computational Phys. 27, 1
Steger, J., Warming, R.: 1978,J. Computational Phys. 40, 263
Toomre,A.: 1977,Ann. Rev. Astron. Astrophys.15, 437
Van Leer,B.: 1977,J. Computational Phys.23, 276
Van Leer,B.: 1979,J. Computational Phys. 32, 101
Van Leer,B.: 1981a, ICASE Report No. 81-11 Van Leer,B.: 1981b, ICASE Report (in preparation )
Woodward, P.R.: 1975,Astrophys. J. 195, 61
Zalesak, S.T.: 1981 (private communication)
Zang,T.A., Hussaini, M.Y.: 1980, Proc. 7th Intl. Conf. on Numerical Methods in Fluid Dynamics:Lecture Notes in Physics, Springer, Berlin, Heidelberg, New York
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van Albada, G.D., van Leer, B., Roberts, W.W. (1997). A Comparative Study of Computational Methods in Cosmic Gas Dynamics. In: Hussaini, M.Y., van Leer, B., Van Rosendale, J. (eds) Upwind and High-Resolution Schemes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60543-7_6
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DOI: https://doi.org/10.1007/978-3-642-60543-7_6
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