×

Pressure method for the numerical solution of transient, compressible fluid flows. (English) Zbl 0549.76050

Summary: The pressure method for incompressible fluid flow simulation is extended and applied to the numerical simulation of compressible fluid flow. The governing equations, obtained from the physical principles of conservation of momentum, mass and energy, are first studied from a characteristic point of view. Then they are discretized with a semi- implicit finite difference technique in such a fashion that stability is achieved independently of the speed of sound. The resulting algorithm is fast, accurate and particularly efficient in subsonic flow calculations. As an example, the computer simulation of the von Kármán vortex street is described and discussed.

MSC:

76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76B47 Vortex flows for incompressible inviscid fluids
76M99 Basic methods in fluid mechanics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] and , Pressure Methods for the Numerical Solution of Free Surface Fluid Flows, Pineridge Press, Swansea, U. K., 1984.
[2] and , ’Pressure methods for the approximate solution of the Navier-Stokes equations’, Proceedings of the Third International Conference on Numerical Methods in Laminar and Turbulent Flow, Pineridge Press, Swansea, U. K., 1983.
[3] and , ’Numerical solution of the three dimensional, time dependent Navier-Stokes equations’, Proceedings of the Fifth Gamm Conference on Numerical Methods in Fluid Mechanics, Vieweg, Braunschweig, 1984.
[4] Casulli, Int. J. Num. Meth. Fluids 2 pp 115– (1982)
[5] Casulli, Soc. of Petroleum Eng. Jour. 22 pp 635– (1982)
[6] and , ’SOLA-ICE: a numerical solution algorithm for transient compressible fluid flows’, T. R. # LA-6236, Los Alamos Sci. Lab., Los Alamos, NM, 1976.
[7] Le Veque, Math. of Computation 40 pp 469– (1983)
[8] Modern Compressible Flow, McGraw-Hill, NY, 1982.
[9] and , Finite-Difference Methods for Partial Differential Equations, Wiley, NY, 1960.
[10] Davis, J. Fluid Mech. 116 pp 475– (1982)
[11] Perry, J. Fluid Mech. 116 pp 77– (1982)
[12] and , ’Pressure method for the numerical solution of transient, compressible fluid flows’, T. R. 203, Dept. of Math., The University of Texas at Arlington, 1983.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.