Application of Second Order TVD and WENO Schemes in Internal Aerodynamics

Authors:
Jiří Fürst;Karel Kozel
Affiliations:
Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University, Prague. furst@marian.fsik.cvut.cz;Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University, Prague
Venue:
Journal of Scientific Computing
Year:
2002

Citing 3
Cited 1

Efficient implementation of weighted ENO schemes

Journal of Computational Physics
Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids

Journal of Computational Physics
Weighted essentially non-oscillatory schemes on triangular meshes

Journal of Computational Physics

Modelling of complex clearance flow in screw-type machines

Mathematics and Computers in Simulation

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Abstract

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.