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Journal ArticleDOI

Evaluation of numerical error estimation based on grid refinement studies with the method of the manufactured solutions

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TLDR
The results obtained in this study show that it is possible to obtain a reliable iterative error estimator based on a geometric-progression extrapolation of the L ∞ norm of the differences between iterations.
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This article is published in Computers & Fluids.The article was published on 2009-09-01. It has received 125 citations till now. The article focuses on the topics: Round-off error & Discretization of continuous features.

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Citations
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Book

Verification and Validation in Scientific Computing

TL;DR: A comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations that are described by partial differential and integral equations and the simulations that result from their numerical solution.
Journal ArticleDOI

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

TL;DR: A procedure for the estimation of the numerical uncertainty of any integral or local flow quantity as a result of a fluid flow computation; the procedure requires solutions on systematically refined grids with least squares fits to power series expansions to handle noisy data.
Proceedings ArticleDOI

Review of Discretization Error Estimators in Scientific Computing

TL;DR: The goal of this paper is to review the different approaches for estimating discretization error and to present a general framework for their classification, and to address issues related to mesh refinement.
Journal ArticleDOI

URANS calculations for smooth circular cylinder flow in a wide range of Reynolds Numbers: solution verification and validation

TL;DR: In this article, the authors apply verification and validation procedures to draw conclusions regarding numerical error and assess the modeling errors and capabilities of this (U)RANS method to solve the problem.
Journal ArticleDOI

Richardson Extrapolation-Based Discretization Uncertainty Estimation for Computational Fluid Dynamics

TL;DR: This study investigates the accuracy of various Richardson extrapolation-based discretization error and uncertainty estimators for problems in computational fluid dynamics using variations of the Grid Convergence Index.
References
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Journal ArticleDOI

Two-equation eddy-viscosity turbulence models for engineering applications

TL;DR: In this paper, two new two-equation eddy-viscosity turbulence models are presented, which combine different elements of existing models that are considered superior to their alternatives.
Book

Computational methods for fluid dynamics

TL;DR: This text develops and applies the techniques used to solve problems in fluid mechanics on computers and describes in detail those most often used in practice, including advanced techniques in computational fluid dynamics.
Book

Turbulence modeling for CFD

TL;DR: In this paper, the authors proposed a compressible ecoulement for compressible ECCs, based on the disquette reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI

Reassessment of the scale-determining equation for advanced turbulence models

David C. Wilcox
- 01 Nov 1988 - 
TL;DR: In this paper, a two-equation turbulence model is proposed that is shown to be quite accurate for attached boundary layers in adverse pressure gradient, compressible boundary layers, and free shear flows.