×

zbMATH — the first resource for mathematics

Coherent structures near the wall in a turbulent channel flow. (English) Zbl 0892.76036
Coherent structures (CS) near the wall in a numerically simulated turbulent channel flow are educed using a conditional sampling scheme which extracts the entire extent of dominant vortical structures. Such structures are detected from the instantaneous flow field using our vortex definition – a region of negative \(\lambda_2\), the second largest eigenvalue of the tensor \(S_{ik}S_{kj}+ \Omega_{ik}\Omega_{kj}\) – which accurately captures the structure details (unlike velocity-, vorticity- or pressure-based eduction). Extensive testing has shown that \(\lambda_2\) correctly captures vortical structures, even in the presence of the strong shear occurring near the wall of a boundary layer. Our model of the CS array reproduces nearly all experimentally observed events reported in the literature, such as VITA, Reynolds stress distribution, wall pressure variation, elongated low-speed streaks, spanwise shear etc.

MSC:
76F10 Shear flows and turbulence
76M25 Other numerical methods (fluid mechanics) (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] DOI: 10.1016/0376-0421(88)90001-2 · doi:10.1016/0376-0421(88)90001-2
[2] DOI: 10.1017/S0022112079001580 · doi:10.1017/S0022112079001580
[3] DOI: 10.1017/S0022112069000395 · doi:10.1017/S0022112069000395
[4] DOI: 10.1146/annurev.fl.23.010191.003125 · doi:10.1146/annurev.fl.23.010191.003125
[5] DOI: 10.1017/S0022112079001191 · doi:10.1017/S0022112079001191
[6] J. Fluid Mech. 137 pp 447– (1982)
[7] DOI: 10.1017/S0022112096001802 · Zbl 0864.76036 · doi:10.1017/S0022112096001802
[8] DOI: 10.1017/S0022112093001843 · Zbl 0800.76185 · doi:10.1017/S0022112093001843
[9] DOI: 10.1016/0169-5983(94)90061-2 · doi:10.1016/0169-5983(94)90061-2
[10] Introduction to Fluid Dynamics. (1967)
[11] Proc. IUTAM Symp. Struct, of Turbulence and Drag Reduction, Zurich. (1989)
[12] DOI: 10.1017/S0022112090001355 · doi:10.1017/S0022112090001355
[13] DOI: 10.1017/S0022112067001740 · doi:10.1017/S0022112067001740
[14] NACA pp 731– (1954)
[15] DOI: 10.1017/S0022112087000892 · Zbl 0616.76071 · doi:10.1017/S0022112087000892
[16] DOI: 10.1063/1.858653 · doi:10.1063/1.858653
[17] DOI: 10.1017/S0022112089002090 · doi:10.1017/S0022112089002090
[18] DOI: 10.1017/S002211209400203X · Zbl 0814.76049 · doi:10.1017/S002211209400203X
[19] DOI: 10.1017/S002211209100188X · Zbl 0717.76057 · doi:10.1017/S002211209100188X
[20] DOI: 10.1017/S0022112091002033 · Zbl 0721.76040 · doi:10.1017/S0022112091002033
[21] J. Fluid Mech. 182 pp 225– (1987)
[22] DOI: 10.1063/1.857730 · doi:10.1063/1.857730
[23] Center for Turbulence Research Report CTR-SS9 pp 261– (1989)
[24] DOI: 10.1017/S0022112088000345 · Zbl 0641.76050 · doi:10.1017/S0022112088000345
[25] DOI: 10.1146/annurev.fl.13.010181.002325 · doi:10.1146/annurev.fl.13.010181.002325
[26] Phys. Fluids A 5 pp 1011– (1993)
[27] DOI: 10.1017/S0022112095003223 · Zbl 0856.76023 · doi:10.1017/S0022112095003223
[28] DOI: 10.1017/S0022112086002094 · doi:10.1017/S0022112086002094
[29] DOI: 10.1017/S0022112076003145 · doi:10.1017/S0022112076003145
[30] DOI: 10.1017/S0022112095000462 · Zbl 0847.76007 · doi:10.1017/S0022112095000462
[31] Proc. of Fifth Asian Congress of Fluid Mech., Taejon, Korea (1992)
[32] DOI: 10.1017/S0022112080001772 · doi:10.1017/S0022112080001772
[33] Center for Turbulence Research Report CTR-SS1 pp 273– (1987)
[34] DOI: 10.1017/S0022112087001782 · doi:10.1017/S0022112087001782
[35] DOI: 10.1017/S0022112086001192 · doi:10.1017/S0022112086001192
[36] Turbulence and Chaotic Phenomena in Fluids pp 453– (1983)
[37] Phys. Fluids pp 26– (1983)
[38] The Role of Coherent Structures in Modelling Turbulence and Mixing pp 136– (1980)
[39] DOI: 10.1017/S0022112093000795 · doi:10.1017/S0022112093000795
[40] Center for Turbulence Research Report CTR-SSS pp 193– (1988)
[41] Eddy Structure Identification in Free Turbulent Shear Flows pp 45– (1992)
[42] DOI: 10.1017/S002211207200165X · doi:10.1017/S002211207200165X
[43] DOI: 10.1017/S0022112095000978 · Zbl 0867.76032 · doi:10.1017/S0022112095000978
[44] A First Course in Turbulence. (1972)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.