Observations Regarding Algorithms Required for Robust CFD Codes

F. T. Johnson; D. S. Kamenetskiy; R. G. Melvin; V. Venkatakrishnan; L. B. Wigton; D. P. Young; S. R. Allmaras; J. E. Bussoletti; C. L. Hilmes

Mathematical Modelling of Natural Phenomena (2011)

  • Volume: 6, Issue: 3, page 2-27
  • ISSN: 0973-5348

Abstract

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Over the last three decades Computational Fluid Dynamics (CFD) has gradually joined the wind tunnel and flight test as a primary flow analysis tool for aerodynamic designers. CFD has had its most favorable impact on the aerodynamic design of the high-speed cruise configuration of a transport. This success has raised expectations among aerodynamicists that the applicability of CFD can be extended to the full flight envelope. However, the complex nature of the flows and geometries involved places substantially increased demands on the solution methodology and resources required. Currently most simulations involve Reynolds-Averaged Navier-Stokes (RANS) codes although Large Eddy Simulation (LES) and Detached Eddy Suimulation (DES) codes are occasionally used for component analysis or theoretical studies. Despite simplified underlying assumptions, current RANS turbulence models have been spectacularly successful for analyzing attached, transonic flows. Whether or not these same models are applicable to complex flows with smooth surface separation is an open question. A prerequisite for answering this question is absolute confidence that the CFD codes employed reliably solve the continuous equations involved. Too often, failure to agree with experiment is mistakenly ascribed to the turbulence model rather than inadequate numerics. Grid convergence in three dimensions is rarely achieved. Even residual convergence on a given grid is often inadequate. This paper discusses issues involved in residual and especially grid convergence.

How to cite

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Johnson, F. T., et al. "Observations Regarding Algorithms Required for Robust CFD Codes." Mathematical Modelling of Natural Phenomena 6.3 (2011): 2-27. <http://eudml.org/doc/222225>.

@article{Johnson2011,
abstract = {Over the last three decades Computational Fluid Dynamics (CFD) has gradually joined the wind tunnel and flight test as a primary flow analysis tool for aerodynamic designers. CFD has had its most favorable impact on the aerodynamic design of the high-speed cruise configuration of a transport. This success has raised expectations among aerodynamicists that the applicability of CFD can be extended to the full flight envelope. However, the complex nature of the flows and geometries involved places substantially increased demands on the solution methodology and resources required. Currently most simulations involve Reynolds-Averaged Navier-Stokes (RANS) codes although Large Eddy Simulation (LES) and Detached Eddy Suimulation (DES) codes are occasionally used for component analysis or theoretical studies. Despite simplified underlying assumptions, current RANS turbulence models have been spectacularly successful for analyzing attached, transonic flows. Whether or not these same models are applicable to complex flows with smooth surface separation is an open question. A prerequisite for answering this question is absolute confidence that the CFD codes employed reliably solve the continuous equations involved. Too often, failure to agree with experiment is mistakenly ascribed to the turbulence model rather than inadequate numerics. Grid convergence in three dimensions is rarely achieved. Even residual convergence on a given grid is often inadequate. This paper discusses issues involved in residual and especially grid convergence. },
author = {Johnson, F. T., Kamenetskiy, D. S., Melvin, R. G., Venkatakrishnan, V., Wigton, L. B., Young, D. P., Allmaras, S. R., Bussoletti, J. E., Hilmes, C. L.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {CFD; grid refinement; residual convergence; adjoint; turbulence model},
language = {eng},
month = {5},
number = {3},
pages = {2-27},
publisher = {EDP Sciences},
title = {Observations Regarding Algorithms Required for Robust CFD Codes},
url = {http://eudml.org/doc/222225},
volume = {6},
year = {2011},
}

TY - JOUR
AU - Johnson, F. T.
AU - Kamenetskiy, D. S.
AU - Melvin, R. G.
AU - Venkatakrishnan, V.
AU - Wigton, L. B.
AU - Young, D. P.
AU - Allmaras, S. R.
AU - Bussoletti, J. E.
AU - Hilmes, C. L.
TI - Observations Regarding Algorithms Required for Robust CFD Codes
JO - Mathematical Modelling of Natural Phenomena
DA - 2011/5//
PB - EDP Sciences
VL - 6
IS - 3
SP - 2
EP - 27
AB - Over the last three decades Computational Fluid Dynamics (CFD) has gradually joined the wind tunnel and flight test as a primary flow analysis tool for aerodynamic designers. CFD has had its most favorable impact on the aerodynamic design of the high-speed cruise configuration of a transport. This success has raised expectations among aerodynamicists that the applicability of CFD can be extended to the full flight envelope. However, the complex nature of the flows and geometries involved places substantially increased demands on the solution methodology and resources required. Currently most simulations involve Reynolds-Averaged Navier-Stokes (RANS) codes although Large Eddy Simulation (LES) and Detached Eddy Suimulation (DES) codes are occasionally used for component analysis or theoretical studies. Despite simplified underlying assumptions, current RANS turbulence models have been spectacularly successful for analyzing attached, transonic flows. Whether or not these same models are applicable to complex flows with smooth surface separation is an open question. A prerequisite for answering this question is absolute confidence that the CFD codes employed reliably solve the continuous equations involved. Too often, failure to agree with experiment is mistakenly ascribed to the turbulence model rather than inadequate numerics. Grid convergence in three dimensions is rarely achieved. Even residual convergence on a given grid is often inadequate. This paper discusses issues involved in residual and especially grid convergence.
LA - eng
KW - CFD; grid refinement; residual convergence; adjoint; turbulence model
UR - http://eudml.org/doc/222225
ER -

References

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  13. D. A. Venditti, D. L. Darmofal. Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows. J. Comp Phys., 187 (2003), 22–46.  
  14. V. Venkatakrishnan, S. R. Allmaras, F. T. Johnson, D. S. Kamenetskii. Higher order schemes for the compressible Navier-Stokes equations. 16th AIAA Computational Fluid Dynamics Conference. Orlando, Florida, June 23-26, 2003, AIAA Paper 2003-3987.  
  15. D. P. Young, R. G. Melvin, M. B. Bieterman, F. T. Johnson, S. S. Samant, J.E. Bussoletti. A locally refined rectangular grid finite element method: application to computational fluid dynamics and computational physics. J. Comp Phys., 92 (1991), 1–66.  

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