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CFD Advances: Numerical Schemes and Spectral Resolution

Explore time scales and numerical properties of CFD methods, including amplification factors, wave characteristics, and spectral resolution analysis. Discover strategies to mitigate errors and enhance computational efficiency in aerospace engineering simulations.

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CFD Advances: Numerical Schemes and Spectral Resolution

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  1. 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

  2. Computing time scales with .

  3. Amplification Factors for Adams-Bashforth Method

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

  5. Spectral Resolution and q-Wave Limit of Different Schemes:

  6. Aliasing Error • The following figure illustrates the region that contributes to aliasing:

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

  8. Loss of Dissipation & Compensation by Upwinding for Convection

  9. Bypass Transition - Experiment

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

  11. 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.

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

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