Abstract
The variational approach of the steady Euler equations presented at the loth ICNMFD [1] is extended to the treatment of supersonic and hypersonic flows by introducing the energy equation inthe least-squares formulation. The approximation is made with cubic or prismatic linear finite elements and the results are presented for flows around a rectangular flat plate or a thin delta wing for various Mach numbers and angles of attack. They show the occurrence of vortical flows on the upper surface of the wings due to the sharp edges.
The simulation code is run on a CRAY2 and the computing time is kept to a minimum by using the large storage capacity available, an efficient vectorization and a full multigrid procedure.
Work performed with financial support of DRET and under grants from the CCVR Ecole Polytechnique, France.
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References
Ch.H. Bruneau, J.J. Chattot, J. Laminie and R. Temam, Computation of vortex flow past a flat plate at high angle of attack, 10th ICNMFD, Beijing, 1986, Lecture Notes in Physics 264.
Ch.H. Bruneau, J. Laminie and J.J. Chattot, Computation of 3D vortex flows past a flat plate at incidence through a variational approach of the full steady Euler equations, to appear in Int. J. Num. Meth. in Fluids.
K. Powell, E. Murman, E. Perez and J. Baron, Total pressure loss in vortical solutions of the conical Euler equations, AIAA paper 85-1701.
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L.E. Eriksson and A. Rizzi, Computation of vortex flow around wings using the Euler equations, 4th GAMM Conf. on Num. Meth. in Fluid Mech., 1981.
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© 1989 Springer-Verlag
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Bruneau, CH., Laminie, J., Chattot, JJ. (1989). Computation of hypersonic vortex flows with an Euler model. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) 11th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51048-6_22
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DOI: https://doi.org/10.1007/3-540-51048-6_22
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