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Higher Order Accurate Solutions for Flow in a Cavity: Experiences and Lessons Learned

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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 106))

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Abstract

Experiences from using a higher order accurate finite difference multiblock solver to compute the time dependent flow over a cavity is summarized. The work has been carried out as part of a work in a European project called IDIHOM in a collaboration between the Swedish Defense Research Agency (FOI) and University of Linköping (LiU). The higher order code is based on Summation By Parts operators combined with the Simultaneous Approximation Term approach for boundary and interface conditions. The spatial accuracy of the code is verified by calculations over a cyclinder by monitoring the decay of the errors of known wall quantities as the grid is refined. The focus is on the validation for a test case of transonic flow over a rectangular cavity with hybrid RANS/LES calculations. The results are compared to reference numerical results from a second order finite volume code as well as with experimental results with a good overall agreement between the results.

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Acknowledgements

This work has been carried out within the EU project IDIHOM under contract No. FP7-AAT-2010-RTD-1-2657808.

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Correspondence to Peter Eliasson .

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Eliasson, P., Kupiainen, M., Nordström, J. (2015). Higher Order Accurate Solutions for Flow in a Cavity: Experiences and Lessons Learned. In: Kirby, R., Berzins, M., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering, vol 106. Springer, Cham. https://doi.org/10.1007/978-3-319-19800-2_15

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