Analysis of plane and axisymmetric flows of incompressible fluids with the stream tube method: Numerical simulation by trust-region optimization algorithm. (English) Zbl 0739.76050

Clermont, J. R.; de la Lande, M. E.; Pham Dinh Tao; Yassine, A.

Int. J. Numer. Methods Fluids 13, No. 3, 371-399 (1991).

Summary: New concepts for the study of incompressible plane or axisymmetric flows are analysed by the stream tube method. Flows without eddies and pure vortex flows are considered in a transformed domain where the mapped streamlines are rectilinear or circular. The transformation between the physical domain and the computational domain is an unknown of the problem. In order to solve the nonlinear set of relevant equations, we present a new algorithm based on a trust region technique which is effective for nonconvex optimization problems. Experimental results show that the new algorithm is more robust compared to the Newton-Raphson method.

MSC:

76M25	Other numerical methods (fluid mechanics) (MSC2010)
76M30	Variational methods applied to problems in fluid mechanics
76B47	Vortex flows for incompressible inviscid fluids

Keywords:

incompressible plane or axisymmetric flows; stream tube method; trust region technique; Newton-Raphson method

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