Limitations of Richardson extrapolation and possible remedies for estimation of discretization error

Proceedings of the ASME Heat Transfer/Fluids Engineering Summer Conference 2004, HT/FED 2004

Volumn 2 A, Issue , 2004, Pages 107-118

  Celik, I B ^a   Li, J ^a   Hu, G ^a   Shaffer, C ^a  

^a West Virginia University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CONVERGENCE OF NUMERICAL METHODS; ERROR DETECTION; FUNCTIONS; NAVIER STOKES EQUATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING;

APPROXIMATE ERROR SPLINE (AES); CONVECTION-DIFFUSION EQUATION; OSCILLATORY CONVERGENCE; TAYLOR SERIES EXPANSION;

EXTRAPOLATION;

EID: 21544435185     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/ht-fed2004-56035     Document Type: Conference Paper

References (14)

1. Cadafalch, J., Perez-Segarra, C.D., Consul, R. and Oliva, A. (2002) "Verification of Finite Volume Computations on Steady-State Fluid Flow and Heat Transfer," ASME Journal of Fluids Engineering, Vol. 124, pp. 11-21.
2. Celik, I., Chen, C.J., Roache, P.J. and Scheurer, G. Editors. (1993), "Quantification of Uncertainty in Computational Fluid Dynamics," ASME Publ. No. FED-Vol. 158, ASME Fluids Engineering Division Summer Meeting, Washington, DC, 20-24 June.
3. Celik, I. and Zhang, W-M (1993) "Applicaton of Richardson Extrapolation to Some Simple Turbulent Flow Calculations," Proceedings of the Symposium on "Quantification of Uncertainty in Computational Fluid Dynamics," Editors: I. Celik et al. ASME Fluids Engineering Division Spring Meeting, Washington, C.C., June 20-24, pp. 29-38.
4. Celik, I. and Karatekin, O. (1997), "Numerical Experiments on Application of Richardson Extrapolation with Nonuniform Grids," ASME Journal of Fluids Engineering, Vol. 119, pp.584-590.
5. Eca, L. and Hoekstra, M. (2002), "An Evaluation of Verification Procedures for CFD Applications," 24th Symposium on Naval Hydrodynamics, Fukuoka, Japan, 8-13 July.
6. Fox, L. (1957) "The Numerical Solution of Two-point Boundary Value Problems in ODE's" Oxford at the Clarendon Press, pp. 332
7. Klein, M. (2003) Private communication.
8. Li J., Celik, I.B., Yavuz, I. and Guffey, S.E. (2003) "The Effect of Turbulence and Scalar Transport Models on Prediction of Worker Exposure to Aerosols" Proceedings of FEDSM'03, 4TH ASME_JSME Joint Fluids Engineering Conference, Honolulu, Hawaii, USA, July 6-11, 2003
9. Phillips, G.M. and Taylor, P.J. (1973) "Theory and Applications of Numerical Analysis" Academic Press: London and New York, pp.345
10. Richardson, L.F. (1910) "The Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations, with an Application to the Stresses In a Masonary Dam," Transactions of the Royal Society of London, Ser. A, Vol. 210, pp. 307-357.
11. Richardson L.F. and Gaunt, J. A. (1927) "The Deferred Approach to the Limit," Philos. Trans. R. Soc. London Ser. A, Vol. 226, pp. 299-361.
12. Roache, P.J.(1998) "Verification and Validation in Computational Science and Engineering," Hermosa Publishers, Albuquerque
13. Roy, C.J. (2003) Private communication.
14. Stern, F., Wilson, R. V., Coleman, H. W., and Paterson, E. G. (2001), "Comprehensive Approach to Verification and Validation of CFD Simulations - Part 1: Methodology and Procedures," ASME Journal of Fluids Engineering, Vol. 123, pp. 793-802, December.