An orthogonal finite element method for transonic flow calculations
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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.
Keywords
Shape Function Transonic Flow Arbitrary Geometry Linear Shape Function Arbitrary Mesh
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References
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Copyright information
© Springer-Verlag 1979