Abstract
Compressible internal flows are studied with an implicit finite difference solution of the full potential equation in conservative form. For numerical stability in supersonic regions an artificial compressibility formulation is introduced. Boundary fitted curvilinear coordinates are used which are stretched in order to cope with regions of strong gradients. The equations are solved by an approximate factorization technique. Results are presented for nozzle flow and for flows through valve inlets with different wall contours. Some results are compared with Mach-Zehnder Interferograms.
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Thompson, J. F., Thames, F. C., Mastin, C.W.: Boundary-fitted curvilinear coordinate system for solution of partial differential equations on fields containing any number of arbitrary two-dimensional bodies. NASA CR-2729 (1977).
Hafez, M., South, J., Murman, E.: Artificial compressibility methods for numerical solutions of transonic full potential equation. AIAA-J., Vol. 17 No. 18, pp. 838–844 (1979).
Holst, T. L., Ballhaus, W. F.: Fast, conservative schemes for the full potential equation applied to transonic flows. AIAA-J., Vol. 17 No. 2, pp. 145–152, (Feb. 79).
Ballhaus, W. F., Jameson, A., Albert, J.: Implicit approximate-factorization schemes for steady transonic flow problems. AIAA-J., Vol. 16 No. 6, pp. 573–579, (June 78).
Holst, T. L.: Fast, conservative algorithm for solving the transonic full-potential equation. AIAA-J., Vol. 18 No. 12, pp. 1431–1439, (Dec. 80).
Holst, T. L.: Implicit algorithm for the conservative transonic full-potential equation using an arbitrary mesh. AIAA-J., Vol. 17 No. 10, pp. 1038–1045, (Oct. 1979).
Jameson, A.: Iterative solution of transonic flows over airfoils and wings, including flows at Mach 1. Communications on Pure and Applied Mathematics, Vol. 27, pp. 283–309 (1974).
Rizzi, A., Viviand, H. (Eds.): Numerical methods for the computation of inviscid transonic flows with shock waves. Friedr. Vieweg u. Sohn, Braunschweig/Wiesbaden (1981).
Föllmer, B. Aerodynamisches Institut, RWTH Aachen (1981), private communication.
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© 1982 Springer-Verlag
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Giese, U. (1982). Computation of inviscid transonic internal flow. In: Krause, E. (eds) Eighth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11948-5_23
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DOI: https://doi.org/10.1007/3-540-11948-5_23
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