메뉴 건너뛰기




Volumn 20, Issue 7, 2006, Pages 463-479

Error estimation using the error transport equation for finite-volume methods and arbitrary meshes

Author keywords

Discretization error; Error equation; Error estimation; Finite volume unstructured grid; Navier Stokes equations

Indexed keywords


EID: 34250202933     PISSN: 10618562     EISSN: 10290257     Source Type: Journal    
DOI: 10.1080/10618560600835934     Document Type: Article
Times cited : (32)

References (34)
  • 1
    • 0031102111 scopus 로고    scopus 로고
    • A posteriori error estimation in finite element analysis
    • Ainsworth, M. and Oden, J., A posteriori error estimation in finite element analysis. Comput. Methods Appl. Mech. Eng., 1997, 142, 1-88.
    • (1997) Comput. Methods Appl. Mech. Eng , vol.142 , pp. 1-88
    • Ainsworth, M.1    Oden, J.2
  • 4
  • 5
    • 11144285866 scopus 로고    scopus 로고
    • Single grid error estimation using error transport equation
    • Celik, I. and Hu, G., Single grid error estimation using error transport equation. J. Fluids Eng., Trans. ASME, 2004, 126(5), 778-790.
    • (2004) J. Fluids Eng., Trans. ASME , vol.126 , Issue.5 , pp. 778-790
    • Celik, I.1    Hu, G.2
  • 6
    • 0031235915 scopus 로고    scopus 로고
    • Numerical experiments on application of Richardson extrapolation with nonunitbrm grids
    • Celik, I. and Karatekin, O., Numerical experiments on application of Richardson extrapolation with nonunitbrm grids. J. Fluids Eng., Trans. ASME, 1997, 119, 584-590.
    • (1997) J. Fluids Eng., Trans. ASME , vol.119 , pp. 584-590
    • Celik, I.1    Karatekin, O.2
  • 7
    • 11144331269 scopus 로고    scopus 로고
    • An evaluation of verification procedure for CFD applications
    • Fukuoka, Japan
    • Eça, L. and Hoekstra, M., An evaluation of verification procedure for CFD applications, in 24th Symposium on Naval Hydrodynamics, 2002 (Fukuoka, Japan).
    • (2002) 24th Symposium on Naval Hydrodynamics
    • Eça, L.1    Hoekstra, M.2
  • 8
    • 0008759565 scopus 로고
    • An analysis of a defect-correction method for a model convection-diffusion equation
    • Ervin, V. and Layton, W., An analysis of a defect-correction method for a model convection-diffusion equation. SIAM J. Numer. Anal., 1989, 26(1), 169-179.
    • (1989) SIAM J. Numer. Anal , vol.26 , Issue.1 , pp. 169-179
    • Ervin, V.1    Layton, W.2
  • 12
    • 84897710132 scopus 로고    scopus 로고
    • Adaptive error control strategy: Application to a turbulent flow
    • AIAA Paper 2003-3848, Orlando, FL
    • Hay, A. and Visonneau, M., Adaptive error control strategy: application to a turbulent flow, in 16th AIAA Computational Fluid Dynamics Conference, AIAA Paper 2003-3848, 2003 (Orlando, FL).
    • (2003) 16th AIAA Computational Fluid Dynamics Conference
    • Hay, A.1    Visonneau, M.2
  • 13
    • 33746617591 scopus 로고    scopus 로고
    • CFD uncertainty analysis for turbulent flows using error equation method
    • Lisbon
    • Hay, A. and Visonneau, M., CFD uncertainty analysis for turbulent flows using error equation method, in Workshop on CFD uncertainty analysis, 2004 (Lisbon).
    • (2004) Workshop on CFD uncertainty analysis
    • Hay, A.1    Visonneau, M.2
  • 14
    • 0034730335 scopus 로고    scopus 로고
    • A comparison of three error estimation techniques for finite volume solutions of compressible flows
    • Ilinca, C., Zhang, X., Trépanier, J.Y. and Camarero, R., A comparison of three error estimation techniques for finite volume solutions of compressible flows. Comput. Methods Appl. Mech. Eng., 2000, 189(4), 1277-1294.
    • (2000) Comput. Methods Appl. Mech. Eng , vol.189 , Issue.4 , pp. 1277-1294
    • Ilinca, C.1    Zhang, X.2    Trépanier, J.Y.3    Camarero, R.4
  • 15
    • 0037097109 scopus 로고    scopus 로고
    • A defect-correction method for the incompressible Navier-Stokes equations
    • Layton, W., Lee, H. and Peterson, J., A defect-correction method for the incompressible Navier-Stokes equations. Appl. Math. Comput., 2002, 129(1), 1-19.
    • (2002) Appl. Math. Comput , vol.129 , Issue.1 , pp. 1-19
    • Layton, W.1    Lee, H.2    Peterson, J.3
  • 16
    • 0029257055 scopus 로고
    • A fourth-order finite volume method with colocated variable arrangement
    • Lilek, Z. and Perić, M., A fourth-order finite volume method with colocated variable arrangement. Comput. Fluids, 1995, 24(3), 239-252.
    • (1995) Comput. Fluids , vol.24 , Issue.3 , pp. 239-252
    • Lilek, Z.1    Perić, M.2
  • 17
    • 10844287916 scopus 로고    scopus 로고
    • Methodology for computational fluid dynamics code verification/validation
    • AIAA Paper 95-2226 San Diego, California
    • Oberkampf, W., Blottner, F. and Aeschliman, D., Methodology for computational fluid dynamics code verification/validation, in AIAA 26th Fluid Dynamics Conference, AIAA Paper 95-2226 (San Diego, California)
    • AIAA 26th Fluid Dynamics Conference
    • Oberkampf, W.1    Blottner, F.2    Aeschliman, D.3
  • 18
    • 0034282854 scopus 로고    scopus 로고
    • A posteriori error estimators for stationary convection-diffusion problem: A computational comparison
    • Papastavrou, A. and Verfürth, R., A posteriori error estimators for stationary convection-diffusion problem: a computational comparison. Comput. Methods Appl. Mech. Eng., 2000, 189(2), 449-462.
    • (2000) Comput. Methods Appl. Mech. Eng , vol.189 , Issue.2 , pp. 449-462
    • Papastavrou, A.1    Verfürth, R.2
  • 19
    • 0032693754 scopus 로고    scopus 로고
    • Adaptive finite element computations of complex flows
    • Pelletier, D., Adaptive finite element computations of complex flows. Int. J. Numer. Meth. Fluids, 1999, 31(1), 189-202.
    • (1999) Int. J. Numer. Meth. Fluids , vol.31 , Issue.1 , pp. 189-202
    • Pelletier, D.1
  • 20
    • 85085778848 scopus 로고    scopus 로고
    • Adjoint and defect error bounding and correction for functional estimates
    • AIAA Paper 2003-3846, Orlando, FL
    • Pierce, N. and Giles, M., Adjoint and defect error bounding and correction for functional estimates, in AIAA 16th Computational Fluid Dynamics Conference, AIAA Paper 2003-3846, 2003 (Orlando, FL).
    • (2003) AIAA 16th Computational Fluid Dynamics Conference
    • Pierce, N.1    Giles, M.2
  • 21
    • 7244226418 scopus 로고    scopus 로고
    • Adjoint and defect error bounding and correction for functional estimates
    • Pierce, N. and Giles, M., Adjoint and defect error bounding and correction for functional estimates. J. Comput. Phys., 2004, 200(2), 769-794.
    • (2004) J. Comput. Phys , vol.200 , Issue.2 , pp. 769-794
    • Pierce, N.1    Giles, M.2
  • 22
    • 0036861355 scopus 로고    scopus 로고
    • Numerical stability and error analysis for the incompressible Navier-Stokes equations
    • Prudhomme, S. and Oden, J., Numerical stability and error analysis for the incompressible Navier-Stokes equations. Commun. Numer. Meth. Eng., 2002, 18(11), 779-787.
    • (2002) Commun. Numer. Meth. Eng , vol.18 , Issue.11 , pp. 779-787
    • Prudhomme, S.1    Oden, J.2
  • 23
    • 85088723369 scopus 로고    scopus 로고
    • A discrete transport equation for error estimation in CFD
    • AIAA Paper 2002-0906, Reno, Nevada
    • Qin, Y. and Shih, T.P., A discrete transport equation for error estimation in CFD, in 40th Aerospace Sciences Meeting and Exhibit, AIAA Paper 2002-0906, 2002 (Reno, Nevada).
    • (2002) 40th Aerospace Sciences Meeting and Exhibit
    • Qin, Y.1    Shih, T.P.2
  • 24
    • 84897584967 scopus 로고    scopus 로고
    • Analysis and modelling of the residual in the discrete-error-transport equation
    • AIAA Paper 2003-3850, Orlando, Florida
    • Qin, Y. and Shih, T.P., Analysis and modelling of the residual in the discrete-error-transport equation, in AIAA 16th Computational Fluid Dynamics Conference, AIAA Paper 2003-3850, 2003 (Orlando, Florida).
    • (2003) AIAA 16th Computational Fluid Dynamics Conference
    • Qin, Y.1    Shih, T.P.2
  • 25
    • 11144303935 scopus 로고    scopus 로고
    • A method for estimating grid-induced errors in finite-difference and finite-volume methods
    • AIAA Paper 2003-0845, Reno, Nevada
    • Qin, Y. and Shih, T.P., A method for estimating grid-induced errors in finite-difference and finite-volume methods, in 41th Aerospace Sciences Meeting and Exhibit, AIAA Paper 2003-0845, 2003 (Reno, Nevada).
    • (2003) 41th Aerospace Sciences Meeting and Exhibit
    • Qin, Y.1    Shih, T.P.2
  • 27
    • 0028498954 scopus 로고
    • Perspective: A method for uniform reporting of grid refinement studies
    • Roache, P., Perspective: a method for uniform reporting of grid refinement studies. J. Fluids Eng., Trans. ASME, 1994, 116, 405-413.
    • (1994) J. Fluids Eng., Trans. ASME , vol.116 , pp. 405-413
    • Roache, P.1
  • 28
    • 0000559492 scopus 로고    scopus 로고
    • Quantification of uncertainty in computational fluid dynamics
    • Roache, P., Quantification of uncertainty in computational fluid dynamics. Annu. Rev. Fluid Mech., 1997, 29, 123-169.
    • (1997) Annu. Rev. Fluid Mech , vol.29 , pp. 123-169
    • Roache, P.1
  • 30
    • 1142287652 scopus 로고    scopus 로고
    • Code verification by the method of manufactured solutions
    • Roache, P., Code verification by the method of manufactured solutions. J. Fluids Eng., Trans. ASME, 2002, 124(1), 4-10.
    • (2002) J. Fluids Eng., Trans. ASME , vol.124 , Issue.1 , pp. 4-10
    • Roache, P.1
  • 32
    • 49549156305 scopus 로고
    • The modified equation approach to the stability and accuracy analysis of finite difference methods
    • Warming, R. and Hyett, B., The modified equation approach to the stability and accuracy analysis of finite difference methods. J. Comput. Phys., 1974, 14, 159-179.
    • (1974) J. Comput. Phys , vol.14 , pp. 159-179
    • Warming, R.1    Hyett, B.2
  • 33
    • 0040735667 scopus 로고    scopus 로고
    • A posteriori error estimation for finite volume solutions of hyperbolic conservation laws
    • Zhang, X., Trépanier, J.Y. and Camarero, R., A posteriori error estimation for finite volume solutions of hyperbolic conservation laws. Comput. Methods Appl. Mech. Eng., 2000, 185(1), 1-19.
    • (2000) Comput. Methods Appl. Mech. Eng , vol.185 , Issue.1 , pp. 1-19
    • Zhang, X.1    Trépanier, J.Y.2    Camarero, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.