Abstract
We report on a new FORTRAN code called PICUS to simulate shock wave propagation in complex geometry, with special emphasis on its implementation on modern supercomputers (here the IBM ES/3090 with vector facility). The L-shaped geometry is decomposed into rectangles in order to get a favourable data structure and to apply locally one-dimensional numerical schemes. We use vanLeer’s second-order shock-capturing scheme including Roe’s approximate Riemann solver, and we describe how to optimize the resulting code. CPU time measurements recommend PICUS as particularly well fitted for processing on vector (and parallel) processors. The long-time behaviour of PICUS has been checked by computation of the von Kármán vortex street.
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Gentzsch, W. and Glückert, S. The Processor IBM 3090 with Vector Facility (in German), Praxis der Informationsverarbeitung, Vol. 10, pp. 24–30, 1987.
Hirschel, E.H. and Groh, A. Wall-compatibility Conditions for the Solution of the Navier Stokes Equations, Journal of Computational Physics, Vol. 53, pp. 346–350, 1984.
LeVeque, R.J. Numerical Methods for Conservation Laws, Birkhäuser, Basel, 1990.
MacCormack, R.W. A Rapid Solver for Hyperbolic Systems of Equations, Lecture Notes in Physics, Vol. 59, pp.307–317.
Roe, P.L. Characteristic-based Schemes for the Euler equations, Annual Review of Fluid Mechanics, Vol. 18, pp. 337–365, 1986.
Schöffel, S., Hebeker, F.K. and Gathmann R.J. The Code PICUS for Analyzing Wall Loading and Damage Mechanism under Knock Conditions in Internal Combustion Engines, Internal Report, IBM Heidelberg Scientific Center, 99 pp., 1991.
Thiel, U. and Reuter, R. Vectorization of an Upwind Difference Scheme for the Two-dimensional Euler Equations, Technical Report 90.03.003, IBM Heidelberg Scientific Center, 17 pp., 1990.
VanLeer, B. Towards the Ultimate Conservative Difference Scheme, Part 5, Journal of Computational Physics, Vol. 32, pp. 101–136, 1979.
Yee, H.C. A Class of High-resolution Explicit and Implicit Shock-capturing Methods, VKI Lecture Series 1989–04, 216 pp., 1989.
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© 1991 Computational Mechanics Publications
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Gathmann, R.J., Hebeker, F.K., Schöffel, S. (1991). On the Numerical Simulation of Shock Waves in an Annular Crevice and its Implementation on the IBM ES/3090 with Vector Facility. In: Brebbia, C.A., Peters, A., Howard, D. (eds) Applications of Supercomputers in Engineering II. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3660-0_23
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DOI: https://doi.org/10.1007/978-94-011-3660-0_23
Publisher Name: Springer, Dordrecht
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