A method for estimating grid-induced errors in finite-difference and finite-volume methods

41st Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2003, Pages

  Qin, Yuehui ^a   Shih, Tom I P ^a  

^a Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11144303935     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

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2. Oberkampf, W.L., Blottner, F.G., and Aeshliman, D., "Methodology for Computational Fluid Dynamics Code Verification and Validation, " AIAA Paper 95-2226, June 1995.
3. Babuska, I. And Rheinboldt, W., "Error Estimates for Adaptive Finite Element Computations, " SIAM Journal on Numerical Analysis, Vol. 15, No. 4, 1978, pp. 736-754.
4. Sonar, T., "Strong and Weak Norm Refinement Indicators Based on the Finite Element Residual for Compressible Flow Computations, " Impact of Computing in Science and Engineering, Vol. 5, 1993, pp. 111-127.
5. Oden, J.T., "Error Estimation and Control in Computational Fluid Dynamics, " Mathematics of Finite Elements and Applications, edited by J.R. Whiteman, John Wiley and Sons, New York, 1994, Chapter 1.
6. Mackenzie, J., Sonar, T., and Suli, E., "Adaptive Finite Volume Methods for Hyperbolic Problems, " Mathematics of Finite Elements and Applications, edited by J.R. Whiteman, John Wiley and Sons, New York, 1994, Chapter 19.
7. Shih, T. I-P., Gu, X., and Chu, D., "Grid-Quality Measures and Error Estimates, " Numerical Grid Generation in Computational Field Simulations, edited by B.K. Soni, J.F. Thompson, J. Hauser, and P. R. Eiseman, ISGG, Mississippi State University, 2000, pp. 799-808.
8. Gu, X., Schock, H.J., Shih, T. I-P., Hernandez, E.C., Chu, D., Keller, P.S., and Sun, R.L., "Grid-Quality Measures for Structured and Unstructured Meshes, " AIAA Paper 2001-0652, Jan. 2001.
9. Gu, X. and Shih, T. I-P., "Differentiating between Error Source and Error Location in Solution-Adaptive Mesh Refinement, " AIAA Paper 2001-2660, CFD Conference, June 2001.
10. Babuska, I., Strouboulis, T., Gangaraj, S.K., and Upadhyay, C.S., "Pollution Error in the h-Version of the Finite Element Method and Local Quality of the Recovered Derivatives, " Computer Methods in Applied Mechanics and Engineering, Vol. 140, 1997, pp. 1-37.
11. Zhang, X.D., Trépanier, J.-Y., and Camarero, R., "A Posteriori Error Estimation for Finite-Volume Solutions of Hyperbolic Conservation Laws, " Computational Methods in Applied Mechanics and Engineeering, Vol. 185, 2000, pp. 1-19.
12. Zhang, X.D., Pelletier, D., Trépanier, J.-Y., and Camarero, R., "Numerical Assessment of Error Estimators for Euler Equations, " AIAA Journal, Vol. 39, No. 9, 2001, pp. 1706-1715.
13. Qin, Y. and Shih, T. I-P., "A Discrete Transport Equation for Error Estimation in CFD, " AIAA Paper 2002-0906, January 2002.