Solenoidal bases for numerical studies of transition in pipe flow

Date

2010-12-01

Author

Tugluk, Ozan
Tarman, Işık Hakan

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In this paper, solenoidal basis functions are employed in numerical studies of transition in incompressible pipe flow. The bases are formulated in terms of Legendre polynomials, which are more favorable both for the functional form of the basis functions and for the inner product integrals arising in the Galerkin projection scheme. The projection is performed onto the dual solenoidal basis set to eliminate the pressure gradient term from the governing equations. This simplifies the numerical approach to the problem and the resulting scheme is used to study the nonlinear stability of pipe flow. Some preliminary results are compared with those found in the literature.

URI

https://hdl.handle.net/11511/92264

Journal

PHYSICA SCRIPTA

DOI

https://doi.org/10.1088/0031-8949/2010/t142/014009

Collections

Department of Mechanical Engineering, Article

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Citation Formats

O. Tugluk and I. H. Tarman, “Solenoidal bases for numerical studies of transition in pipe flow,” PHYSICA SCRIPTA, vol. T142, pp. 0–0, 2010, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92264.