DOI: 10.1016/j.jcp.2014.01.006. A procedure for the estimation of the numerical uncertainty of CFD calculations based on grid refinement studies

A procedure for the estimation of the numerical uncertainty of CFD calculations based on grid refinement studies

10.1016/j.jcp.2014.01.006

Crossref journal-article

Elsevier BV

Journal of Computational Physics (78)

Bibliography

EÃ§a, L., & Hoekstra, M. (2014). A procedure for the estimation of the numerical uncertainty of CFD calculations based on grid refinement studies. Journal of Computational Physics, 262, 104â130.

Authors 2

L. Eça (first)
M. Hoekstra (additional)

References 31 Referenced 416

{'key': '10.1016/j.jcp.2014.01.006_br0010', 'series-title': 'Verification and Validation in Computational Science and Engineering', 'author': 'Roache', 'year': '1998'} / Verification and Validation in Computational Science and Engineering by Roache (1998)
{'key': '10.1016/j.jcp.2014.01.006_br0020', 'series-title': 'Fundamentals of Verification and Validation', 'author': 'Roache', 'year': '2009'} / Fundamentals of Verification and Validation by Roache (2009)
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{'key': '10.1016/j.jcp.2014.01.006_br0040', 'article-title': 'Procedure for estimation and reporting of uncertainty due to discretization in CFD applications', 'volume': '130', 'author': 'Celik', 'year': '2008', 'journal-title': 'J. Fluids Eng.'} / J. Fluids Eng. / Procedure for estimation and reporting of uncertainty due to discretization in CFD applications by Celik (2008)
10.1016/j.jcp.2004.10.036 / J. Comput. Phys. / Review of code and solution verification procedures for computational simulation by Roy (2005)
10.1115/1.1412235 / J. Fluids Eng. / Comprehensive approach to verification and validation of CFD simulations—Part 1: Methodology and procedures by Stern (2001)
10.1115/1.4001771 / J. Fluids Eng. / Factors of safety for Richardson extrapolation by Xing (2010)
{'key': '10.1016/j.jcp.2014.01.006_br0080', 'series-title': 'ASME 2012 Fluids Engineering Division Summer Meeting', 'first-page': '1621', 'article-title': 'Error estimation using hybrid methods', 'author': 'Celik', 'year': '2012'} / ASME 2012 Fluids Engineering Division Summer Meeting / Error estimation using hybrid methods by Celik (2012)
{'key': '10.1016/j.jcp.2014.01.006_br0090', 'series-title': 'AIAA Computational Fluid Dynamics Conference', 'article-title': 'Verification of calculations: an overview of the Lisbon workshop', 'author': 'Eça', 'year': '2005'} / AIAA Computational Fluid Dynamics Conference / Verification of calculations: an overview of the Lisbon workshop by Eça (2005)
{'key': '10.1016/j.jcp.2014.01.006_br0100', 'series-title': 'AIAA Computational Fluid Dynamics Conference', 'article-title': 'Verification of calculations: an overview of the 2nd Lisbon workshop', 'author': 'Eça', 'year': '2007'} / AIAA Computational Fluid Dynamics Conference / Verification of calculations: an overview of the 2nd Lisbon workshop by Eça (2007)
{'key': '10.1016/j.jcp.2014.01.006_br0110', 'series-title': 'AIAA Computational Fluid Dynamics Conference', 'article-title': 'Code verification, solution verification and validation: an overview of the 3rd Lisbon workshop', 'author': 'Eça', 'year': '2009'} / AIAA Computational Fluid Dynamics Conference / Code verification, solution verification and validation: an overview of the 3rd Lisbon workshop by Eça (2009)
10.1016/j.compfluid.2009.01.003 / Comput. Fluids / Evaluation of numerical error estimation based on grid refinement studies with the method of the manufactured solutions by Eça (2009)
{'key': '10.1016/j.jcp.2014.01.006_br0130', 'series-title': '24th Symposium on Naval Hydrodynamics', 'article-title': 'An evaluation of verification procedures for CFD applications', 'author': 'Eça', 'year': '2002'} / 24th Symposium on Naval Hydrodynamics / An evaluation of verification procedures for CFD applications by Eça (2002)
{'key': '10.1016/j.jcp.2014.01.006_br0140', 'series-title': 'Conferência de Métodos Numéricos en Ingineria 2009', 'article-title': 'Error estimation based on grid refinement studies: a challenge for grid generation', 'author': 'Eça', 'year': '2009'} / Conferência de Métodos Numéricos en Ingineria 2009 / Error estimation based on grid refinement studies: a challenge for grid generation by Eça (2009)
{'key': '10.1016/j.jcp.2014.01.006_br0150', 'series-title': 'Applied Regression Analysis: A Research Tool', 'author': 'Rawlings', 'year': '1998'} / Applied Regression Analysis: A Research Tool by Rawlings (1998)
{'key': '10.1016/j.jcp.2014.01.006_br0160', 'series-title': '2nd Workshop on CFD Uncertainty Analysis', 'article-title': 'Discretization uncertainty estimation based on a least-squares version of the Grid Convergence Index', 'author': 'Eça', 'year': '2006'} / 2nd Workshop on CFD Uncertainty Analysis / Discretization uncertainty estimation based on a least-squares version of the Grid Convergence Index by Eça (2006)
{'key': '10.1016/j.jcp.2014.01.006_br0170', 'series-title': '3rd Workshop on CFD Uncertainty Analysis', 'article-title': 'Testing uncertainty estimation and validation procedures in the flow around a backward facing step', 'author': 'Eça', 'year': '2008'} / 3rd Workshop on CFD Uncertainty Analysis / Testing uncertainty estimation and validation procedures in the flow around a backward facing step by Eça (2008)
10.1080/10618562.2012.717617 / Int. J. Comput. Fluid Dyn. / Manufactured solutions for steady-flow Reynolds-averaged Navier–Stokes solvers by Eça (2012)
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10.1007/s00773-008-0018-1 / J. Mar. Sci. Technol. / The numerical friction line by Eça (2008)
{'key': '10.1016/j.jcp.2014.01.006_br0220', 'series-title': 'AVT-147—Computational Uncertainty in Military Vehicle Design', 'article-title': 'Code verification and verification of calculations with RANS solvers', 'author': 'Eça', 'year': '2007'} / AVT-147—Computational Uncertainty in Military Vehicle Design / Code verification and verification of calculations with RANS solvers by Eça (2007)
{'key': '10.1016/j.jcp.2014.01.006_br0230', 'series-title': 'AIAA 30th Aerospace Sciences Meeting', 'article-title': 'A one-equation turbulence model for aerodynamic flows', 'author': 'Spalart', 'year': '1992'} / AIAA 30th Aerospace Sciences Meeting / A one-equation turbulence model for aerodynamic flows by Spalart (1992)
10.2514/3.12149 / AIAA J. / Two-equation eddy-viscosity turbulence models for engineering applications by Menter (1994)
10.1115/1.1845492 / J. Fluids Eng. / On the grid sensitivity of the wall boundary condition of the k−ω model by Eça (2004)
{'key': '10.1016/j.jcp.2014.01.006_br0260', 'series-title': 'Turbulence Modeling for CFD', 'author': 'Wilcox', 'year': '1998'} / Turbulence Modeling for CFD by Wilcox (1998)
{'key': '10.1016/j.jcp.2014.01.006_br0270', 'series-title': 'Gothenburg 2000—A Workshop on Numerical Ship Hydrodynamics', 'year': '2000'} / Gothenburg 2000—A Workshop on Numerical Ship Hydrodynamics (2000)
{'key': '10.1016/j.jcp.2014.01.006_br0280', 'series-title': 'CFD Workshop Tokyo 2005', 'year': '2005'} / CFD Workshop Tokyo 2005 (2005)
{'key': '10.1016/j.jcp.2014.01.006_br0290', 'series-title': 'Gothenburg 2010—A Workshop on Numerical Ship Hydrodynamics', 'year': '2010'} / Gothenburg 2010—A Workshop on Numerical Ship Hydrodynamics (2010)
{'key': '10.1016/j.jcp.2014.01.006_br0300', 'series-title': '23rd Symposium on Naval Hydrodynamics', 'article-title': 'Combining accuracy and efficiency with robustness in ship stern flow computations', 'author': 'van der Ploeg', 'year': '2000'} / 23rd Symposium on Naval Hydrodynamics / Combining accuracy and efficiency with robustness in ship stern flow computations by van der Ploeg (2000)
{'key': '10.1016/j.jcp.2014.01.006_br0310', 'series-title': 'Numerical simulation of ship stern flows with a space-marching Navier–Stokes method', 'author': 'Hoekstra', 'year': '1999'} / Numerical simulation of ship stern flows with a space-marching Navier–Stokes method by Hoekstra (1999)

Dates

Type	When
Created	11 years, 7 months ago (Jan. 14, 2014, 9:16 p.m.)
Deposited	6 years, 10 months ago (Oct. 7, 2018, 1:52 a.m.)
Indexed	1 day, 22 hours ago (Aug. 20, 2025, 8:24 a.m.)
Issued	11 years, 4 months ago (April 1, 2014)
Published	11 years, 4 months ago (April 1, 2014)
Published Print	11 years, 4 months ago (April 1, 2014)

Funders 0

None

BibTeX

@article{E_a_2014, title={A procedure for the estimation of the numerical uncertainty of CFD calculations based on grid refinement studies}, volume={262}, ISSN={0021-9991}, url={http://dx.doi.org/10.1016/j.jcp.2014.01.006}, DOI={10.1016/j.jcp.2014.01.006}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Eça, L. and Hoekstra, M.}, year={2014}, month=apr, pages={104–130} }

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