Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo‐advected vorticity | Zendy

Takahiro Nishiyama | Zendy

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Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo‐advected vorticity

Author(s) -

Takahiro Nishiyama

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.3319

Subject(s) - inviscid flow , mathematics , vorticity , euler equations , vorticity equation , mathematical analysis , trigonometric functions , discretization , rotational symmetry , vortex , classical mechanics , physics , mechanics , geometry

An infinite number of generalized solutions to the stationary Euler equations with axisymmetry and prescribed circulation are constructed by applying the finite difference method for spatial variables to an equation of pseudo-advected vorticity. They are proved to be different from exact solutions which are written with trigonometric functions and a Coulomb wave function

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