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Digitale Medien

Restoration of the contact surface in the HLL-Riemann solver (1994)

Toro, E. F. ; Spruce, M. ; Speares, W.

Springer

Shock waves 4 (1994), S. 25-34

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ISSN: 1432-2153

Schlagwort(e): Finite difference scheme ; Numerical simulation ; Riemann solver

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik , Technik allgemein

Notizen: Abstract The missing contact surface in the approximate Riemann solver of Harten, Lax, and van Leer is restored. This is achieved following the same principles as in the original solver. We also present new ways of obtaining wave-speed estimates. The resulting solver is as accurate and robust as the exact Riemann solver, but it is simpler and computationally more efficient than the latter, particulaly for non-ideal gases. The improved Riemann solver is implemented in the second-order WAF method and tested for one-dimensional problems with exact solutions and for a two-dimensional problem with experimental results.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01414629

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Digitale Medien

A Kantorovich computational method for free surface gravity flows (1984)

Toro, E. F. ; O'Carroll, M. J.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 4 (1984), S. 1137-1148

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ISSN: 0271-2091

Schlagwort(e): Free Surface Flows ; Computation ; Kantorovich Method ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: Computing free surface gravity flows involves basically two coupled problems, namely, the location of the free surface position and the determination of the internal flow field (for assumed values H0 and Q of the total head and discharge, respectively).Solution techniques are invariably based on iterative procedures, but those that iterate between the two coupled problems may become unstable.In this paper we present a computational method in which the coupling is kept throughout the process of iteration. This is achieved by converting the coupled problems (by means of the Kantorovich method) into the single problem of finding a set of streamlines, including that of the free surface. These streamlines are moved (iteratively) to satisfy the stationary conditions of the governing variational principle.The algorithm is very stable and converges rapidly. It is also easy to implement to solve various types of steady flows with a free surface under gravity.

Zusätzliches Material: 5 Ill.