On the structure of steady axisymmetric Navier-Stokes flows with a stream function having multiple local extrema in its definite-sign domains
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Publication:2940407
DOI10.1134/S0965542513110092zbMath1313.35245OpenAlexW2039738703MaRDI QIDQ2940407
I. I. Chechel', M. B. Solov'ev, B. V. Pal'tsev
Publication date: 26 January 2015
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://www.maik.ru/cgi-perl/search.pl?type=abstract&name=commat&number=11&year=13&page=1696
stream functionsaddle pointslocal extremaNavier-Stokes flowmeridional planespherical layersunstable initial points of trajectories
Cites Work
- Finite-element linear second-order accurate (up to the poles) approximations of Laplace-Beltrami, gradient, and divergence operators on the sphere in \(\mathbb R^3\) in the axisymmetric case
- The conditions for the convergence of iterative methods with complete splitting of the boundary conditions for the Stokes system in a sphere and a spherical layer
- Numerical study of spherical Couette flows for certain zenith-angle-dependent rotations of boundary spheres at low Reynolds numbers
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
- Numerical study of the basic stationary spherical couette flows at low Reynolds numbers
- On some finite element implementations of iterative methods with splitting of boundary conditions for Stokes and Stokes-type systems in a spherical layer: Axially symmetric case
- On the convergence rate and optimization of a numerical method with splitting of boundary conditions for the stokes system in a spherical layer in the axisymmetric case: Modification for thick layers
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