Abstract
A new method for the numerical integration of the time dependent Euler equations by Finite Elements is presented based on the introduction of orthogonal shape functions. This leads to a diagonal mass matrix. In certain cases, as linear triangular elements and bilinear quadrilateral elements with parallel sides, the obtained scheme is equivalent to a Finite Volume formulation. For a general mesh, the method automatically generates schemes for arbitrary geometries. Examples of applications are presented.
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© 1979 Springer-Verlag
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Hirsch, C., Warzee, G. (1979). An orthogonal finite element method for transonic flow calculations. In: Cabannes, H., Holt, M., Rusanov, V. (eds) Sixth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 90. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540091157_178
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DOI: https://doi.org/10.1007/3540091157_178
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09115-8
Online ISBN: 978-3-540-35521-2
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