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Keywords: extrapolation
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Journal Articles
Article Type: Discussions
J. Fluids Eng. November 2011, 133(11): 115502.
Published Online: December 9, 2011
...Tao Xing; Frederick Stern 10 04 2011 07 09 2011 09 12 2011 09 12 2011 convergence extrapolation The Technical Brief by Roache [( 1 )] presents ten items of discussion of our factor of safety (FS) method for solution verification [( 2 )]. Our responses...
Journal Articles
Article Type: Discussions
J. Fluids Eng. November 2011, 133(11): 115501.
Published Online: October 24, 2011
...Patrick J. Roache 19 10 2010 28 07 2011 24 10 2011 24 10 2011 convergence of numerical methods extrapolation grid computing hydrodynamics physics computing ships A recent paper by Xing and Stern [( 1 )] provides additional performance data of interest...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. June 2010, 132(6): 061403.
Published Online: June 23, 2010
... the estimated order of accuracy using the Richardson extrapolation method is greater than the theoretical order of accuracy and lack of statistical evidence that the interval of uncertainty at the 95% confidence level bounds the comparison error. Different error estimates are evaluated using the effectivity...
Journal Articles
Article Type: Research Papers
J. Fluids Eng. September 2008, 130(9): 091401.
Published Online: August 11, 2008
... as a basis for the assessment of the two corrections. After a physical-consistency analysis, the Richardson extrapolation is applied to quantify the numerical errors involved in all the calculations. Finally, experimental data are used to perform validation for both global and local predictions...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. September 2005, 127(5): 949–958.
Published Online: September 1, 2005
... (SGS) model contribution and numerical discretization errors are functions of the grid resolution. In this study, various indexes of quality measures, hereafter referred to as LES̱IQ, are proposed. The recommended LES̱IQ is based on the Richardson extrapolation concept. This method has been applied...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. July 2005, 127(4): 795–805.
Published Online: April 28, 2005
... of several methods of extrapolation. Alternative extrapolation schemes, such as the deferred extrapolation to limit technique, to calculate the coefficients in the Taylor series expansion of the error function are also considered. A new method is proposed that is based on the extrapolation of approximate...
Journal Articles
Article Type: Technical Papers
J. Fluids Eng. November 2005, 127(6): 1171–1182.
Published Online: April 26, 2005
... Extrapolation acting on multiple solutions. Sample test cases of both LES solutions and direct numerical simulations as well as published experimental data show excellent agreement between the integrated matched spectra and the respective turbulent statistics. Thus, the resultant uncertainties themselves...