Fifth MIT Conference on “Advances in CFD”. June 2009

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Fifth MIT Conference on “Advances in CFD”. June 2009 Tapan K. Sengupta High Performance Computing Laboratory Department of Aerospace Engineering Indian Institute of Technology Kanpur 11/26/2018

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Computing time scales with . 11/26/2018

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Amplification Factors for Adams-Bashforth Method 11/26/2018

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Numerical properties of some indicated schemes q-waves are spurious numerical waves created for which the numerical group velocity is opposite of physical group velocity: kh Nc CD2 + RK4 OUCS3 + RK4 QUICK + RK4 SUPG + RK4 11/26/2018

Spectral Resolution and q-Wave Limit of Different Schemes: 11/26/2018

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Aliasing Error The following figure illustrates the region that contributes to aliasing: 11/26/2018

1) Sengupta et al. (2009) – JCP, 228(8), 3048- 3071 Ref: 1) Sengupta et al. (2009) – JCP, 228(8), 3048- 3071 2) Sengupta et al. (2009) – JCP (in press) 11/26/2018

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Loss of Dissipation & Compensation by Upwinding for Convection 11/26/2018

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Bypass Transition - Experiment 11/26/2018

Animation for counter-clockwise vortex for c = 0 Animation for counter-clockwise vortex for c = 0.15U; H=5; Γ= 300 & r 0 = 0.8

TS Wave & Transient Growth : Flow Past a Flat Plate Ref.: Sengupta et al. PRL 96, 224504-1, (2006) Here a simultaneous blowing-suction strip exciter is placed in-between x = 2.37 and 2.41 to simulate the receptivity of the APG shear layer. The excitation is mandatory in this case. 11/26/2018

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THANK YOU FOR YOUR ATTENTION! For further details visit: http://spectral.iitk.ac.in and http://home.iitk.ac.in/~tksen 11/26/2018