A discrete transport equation for error estimation in CFD

40th AIAA Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2002, Pages

  Qin, Yuehui ^a   Shih, Tom I P ^a  

^a Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; COMPUTATIONAL FLUID DYNAMICS; MESH GENERATION;

ADVECTION-DIFFUSION EQUATION; ERROR TRANSPORT EQUATION; ESTIMATION METHODS; FLOW DOMAINS; GRID-INDEPENDENT SOLUTIONS; LEADING TERMS; MODIFIED EQUATION; TRANSPORT EQUATION;

ERRORS;

EID: 85088723369     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2002-906     Document Type: Conference Paper

References (10)

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3. 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.
4. 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.
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6. 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, Aerospace Sciences Meeting, Jan. 2001.
7. 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.
8. Pelletier, D., Zali, A., and Fortin, A., "Adaptive Remeshing for Hyperbolic Transport Problems, " International Journal of Computational Fluid Dynamics, Vol. 3, 1994, pp. 79-99.
9. Zhang, X. D., Trepanier, 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.
10. Zhang, X. D., Pelletier, D., Trepanier, J.-Y., and Camarero, R., "Numerical Assessment of Error Estimators for Euler Equations, " AIAA Journal, Vol. 39, No. 9, 2001, pp. 1706-1715.