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Spectral analysis of the incompressible Navier-Stokes equations with different boundary conditions
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- La Cognata, Cristina, 1985- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Nordström, Jan, 1953- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
- (creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2017
- English 34 s.
- Series: LiTH-MAT-R, 0348-2960 ; 2017:10
- Reports (other academic/artistic)
Abstract
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- The influence of boundary conditions on the spectrum of the incompressible Navier-Stokes equations is studied. The spectra associated to different types of boundary conditions are derived using the Fourier-Laplace technique. In particular, the effect of various combinations of generalized in- and outgoing variables on the convergence to the steady state is investigated. The boundary conditions are analysed in both the continuous and semi-discrete problems. In the latter, high-order schemes in summation-by-parts form with weakly imposed boundary conditions are used to approximate the equations. Numerical calculations are performed and show that the discrete behaviour agrees with the theoretical analysis.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Incompressible flows
- Navier-Stokes
- Fourier-Laplace technique
- summation-by-parts
- weak boundary conditions
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- vet (subject category)
- rap (subject category)
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