Summary
It is shown, that the vector potential Ψ of the solenoidal part of a 3-D vector field can be simplified by a term-condensing method.
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References
Chaviaropoulus, P. et al.: Numerical computation of 3-D rotational inviscid subsonic flows, using the decomposition of the flow field into a potential and a rotational part. ASME Paper 86-GT-169.
Chaviaropoulus, P. et al.: Novel scalar-vector potential formulation for 3-D inviscid rotational flow problems. AIAA-J.28, 1734–1739 (1990).
Aris, R.: Vectors, tensors and the basic equations of fluid mechanics. Prentice Hall 1962.
Dabaghi, F. E., Pironneau, O.: Stream vectors in 3-D aerodynamics. Numer. Mathematik48, 561–589 (1986).
Liu, G.-L.: A term-condensing method and generalized potential-, stream- and path-functions for 3-D compressible viscous flow. Proc. 2nd Asian Congress of Fluid Mechanics, Oct. 1983, Beijing, China, pp. 698–704.
Hirasaki, G. J., Hellums, J. D.: Boundary conditions on the vector and scalar potentials in viscous 3-D hydrodynamics. Quart. Appl. Math.28, 293–296 (1970).
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Liu, G.L., Stetter, H. Improved scalar-vector potential formulations of 3-D compressible rotational flow. Acta Mechanica 92, 237–240 (1992). https://doi.org/10.1007/BF01174179
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DOI: https://doi.org/10.1007/BF01174179