Abstract
The present work is based on Helmholtz decomposition, where the velocity vector is split into a gradient of a potential plus rotational components. Entropy and vorticity corrections are calculated and augmented to modified potential formulations for both inviscid and viscous flows. The new framework is completely equivalent to Euler and Navier-Stokes equations respectively and it can be viewed as a preconditioning of these systems at the differential level. Preliminary results are presented and possible merits of the new approach are discussed.
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References
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© 2003 Springer Science+Business Media Dordrecht
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Hafez, M., Wahba, E. (2003). Hierarchical Formulations for Transonic Flow Simulations. In: Sobieczky, H. (eds) IUTAM Symposium Transsonicum IV. Fluid Mechanics and its Applications, vol 73. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0017-8_34
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DOI: https://doi.org/10.1007/978-94-010-0017-8_34
Publisher Name: Springer, Dordrecht
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