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A Framework for App...
A Framework for Approximation of the Stokes Equations in an Axisymmetric Domain
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- Ericsson, Niklas, 1968 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,Högskolan Väst,University West,University of Gothenburg,Avdelningen för Matematik, Data- och Lantmäteriteknik,Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE–412 96 Gothenburg , Sweden
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(creator_code:org_t)
- 2021-03-02
- 2021
- Engelska.
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Ingår i: Computational Methods in Applied Mathematics. - : Walter de Gruyter GmbH. - 1609-4840 .- 1609-9389. ; 21:4
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Abstract
Ämnesord
Stäng
- We develop a framework for solving the stationary, incompressible Stokes equations in an axisymmetric domain. By means of Fourier expansion with respect to the angular variable, the three-dimensional Stokes problem is reduced to an equivalent, countable family of decoupled two-dimensional problems. By using decomposition of three-dimensional Sobolev norms, we derive natural variational spaces for the two-dimensional problems, and show that the variational formulations are well-posed. We analyze the error due to Fourier truncation and conclude that, for data that are sufficiently regular, it suffices to solve a small number of two-dimensional problems. © 2021 Ericsson, published by De Gruyter 2021.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Axisymmetric Domain
- Fourier Truncation
- Stokes Equations
- Weighted Sobolev Space
- Sobolev spaces
- Angular variables
- Fourier expansion
- Incompressible Stokes equation
- Sobolev norms
- Stokes problem
- Two-dimensional problem
- Variational formulation
- Navier Stokes equations
- Weighted Sobolev Space
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- art (ämneskategori)
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