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Finite element computation of unsteady viscous compressible flows. (English) Zbl 0953.76051

From the summary: We present computations of unsteady viscous transonic flows past cylinders and airfoils. Stabilized finite element methods are employed to solve the compressible Navier-Stokes equations in their conservative form. The nonlinear equations resulting from the finite element discretizations are solved using GMRES technique. To test the accuracy of the formulation, Mach 2 flow past a circular cylinder is computed with a mesh that is fine enough to resolve the shock structure for Reynolds number 50. The computational results agree quite well with analytical and theoretical results.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76H05 Transonic flows
76N15 Gas dynamics (general theory)
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