Application of second order TVD and WENO schemes in internal aerodynamics

We deal with the comparison of several finite volume TVD schemes and finite difference ENO schemes and we describe a second order finite volume WENO scheme which was developed for the case of general unstructured meshes. The proposed second order WENO reconstruction is much simpler than the original...

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Bibliographic Details
Published in:Journal of scientific computing 2002-12, Vol.17 (1-4), p.253-262
Main Authors: FÜRST, Jiri, KOZEL, Karel
Format: Article
Language:English
Subjects:
Compressible flows
shock and detonation phenomena
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Image reconstruction
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Physics
Sciences and techniques of general use
Three dimensional flow
Transonic flow
Transonic flows
Turbines
TVD schemes
Two dimensional flow
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Summary:We deal with the comparison of several finite volume TVD schemes and finite difference ENO schemes and we describe a second order finite volume WENO scheme which was developed for the case of general unstructured meshes. The proposed second order WENO reconstruction is much simpler than the original ENO scheme introduced in [Harten and Chakravarthy 1991]. Moreover, the proposed WENO method is very easily extendible for unstructured meshes in 3D. All above mentioned schemes are applied for the solution of 2D and 3D transonic flows in the turbines and channels and the numerical solution is compared to experimental results or to the results obtained by other authors.
ISSN:0885-7474
1573-7691
DOI:10.1023/a:1015165001318