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Spectral analysis of the incompressible Navier-Stokes equations with different boundary conditions
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- المؤلفون: La Cognata, Cristina; Nordström, Jan
- نوع التسجيلة:
Electronic Resource
- الدخول الالكتروني :
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-139729
LiTH-MAT-R, 0348-2960 ; 2017:10
- معلومة اضافية
- Publisher Information:
Linköpings universitet, Beräkningsmatematik Linköpings universitet, Tekniska fakulteten Linköpings universitet, Beräkningsmatematik Linköpings universitet, Tekniska fakulteten Linköping 2017
- نبذة مختصرة :
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.
- الموضوع:
- Availability:
Open access content. Open access content
info:eu-repo/semantics/openAccess
- Note:
application/pdf
English
- Other Numbers:
UPE oai:DiVA.org:liu-139729
1233384695
- Contributing Source:
UPPSALA UNIV LIBR
From OAIster®, provided by the OCLC Cooperative.
- الرقم المعرف:
edsoai.on1233384695
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