Abstract
The finite element method described in a former paper presented at the 9th ICNMFD ([1]) is applied here to solve the full, steady Euler equations in 3D. The steady flow past a rectangular flat plate of small aspect ratio at high angle of attack is computed for several meshes and angles of attack. These calculations have been made without either adding artificial viscosity or using a Kutta condition. They show how vortices develop spontaneously around the tip of the plate and propagate after the trailing edge.
(Work performed with financial support of D.R.E.T. and under grants from the CCVR Ecole Polytechnique, France, and the Minnesota Supercomputer Institute, U.S.A.).
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References.
[1] Ch.H.Bruneau, J.J.Chattot, J.Laminie, R.Temam: Numerical solutions of the Euler equations with separation by a finite element method. 9th ICNMFD Saclay 1984, Lecture Notes in Physics n° 218, Springer-Verlag.
Ch.H.Bruneau, J.J.Chattot, J.Laminie, J.Guiu-Roux: Finite element least square method for solving full steady Euler equations in a plane nozzle. 8th ICNMFD Aachen 1982, Lecture Notes in Physics n° 170, Springer-Verlag.
S.H.Chiang, G.M.Johnson: An embedding method for the steady Euler equations. J. Comp. Phys., n° 63, 1986.
Ch.Koeck: Computation of three dimensional flow using the Euler equations and multiple-grid scheme. Int. J. Num. Meth. Fluids n° 5, 1985.
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© 1986 Springer-Verlag
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Bruneau, C.H., Chattot, J.J., Laminie, J., Temam, R. (1986). Computation of vortex flows past a flat plate at nigh angle of attack. In: Zhuang, F.G., Zhu, Y.L. (eds) Tenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041778
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DOI: https://doi.org/10.1007/BFb0041778
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