Interpolation Method Needed for Numerical Uncertainty Analysis of Computational Fluid Dynamics

Curtis E. Groves; Marcel Ilie; Paul A. Schallhorn

doi:10.2514/6.2014-1433

Interpolation Method Needed for Numerical Uncertainty Analysis of Computational Fluid Dynamics

Curtis E. Groves, Marcel Ilie, Paul A. Schallhorn

Mechanical Engineering

Research output: Contribution to book or proceeding › Chapter

Abstract

Using Computational Fluid Dynamics (CFD) to predict a flow field is an approximation to the exact problem and uncertainties exist. There is a method to approximate the errors in CFD via Richardson's Extrapolation. This method is based off of progressive grid refinement. To estimate the errors in an unstructured grid, the analyst must interpolate between at least three grids. This paper describes a study to find an appropriate interpolation scheme that can be used in Richardson's extrapolation or other uncertainty method to approximate errors.

Original language	American English
Title of host publication	Proceedings of the Aerospace Sciences Meeting
DOIs	https://doi.org/10.2514/6.2014-1433
State	Published - Jan 13 2014

Disciplines

Mechanical Engineering

Keywords

Computational fluid
Fluid dynamics
Interpolation method
Numerical uncertainty

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Cite this

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title = "Interpolation Method Needed for Numerical Uncertainty Analysis of Computational Fluid Dynamics",

abstract = " Using Computational Fluid Dynamics (CFD) to predict a flow field is an approximation to the exact problem and uncertainties exist. There is a method to approximate the errors in CFD via Richardson's Extrapolation. This method is based off of progressive grid refinement. To estimate the errors in an unstructured grid, the analyst must interpolate between at least three grids. This paper describes a study to find an appropriate interpolation scheme that can be used in Richardson's extrapolation or other uncertainty method to approximate errors.",

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author = "Groves, {Curtis E.} and Marcel Ilie and Schallhorn, {Paul A.}",

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AU - Groves, Curtis E.

AU - Ilie, Marcel

AU - Schallhorn, Paul A.

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Y1 - 2014/1/13

N2 - Using Computational Fluid Dynamics (CFD) to predict a flow field is an approximation to the exact problem and uncertainties exist. There is a method to approximate the errors in CFD via Richardson's Extrapolation. This method is based off of progressive grid refinement. To estimate the errors in an unstructured grid, the analyst must interpolate between at least three grids. This paper describes a study to find an appropriate interpolation scheme that can be used in Richardson's extrapolation or other uncertainty method to approximate errors.

AB - Using Computational Fluid Dynamics (CFD) to predict a flow field is an approximation to the exact problem and uncertainties exist. There is a method to approximate the errors in CFD via Richardson's Extrapolation. This method is based off of progressive grid refinement. To estimate the errors in an unstructured grid, the analyst must interpolate between at least three grids. This paper describes a study to find an appropriate interpolation scheme that can be used in Richardson's extrapolation or other uncertainty method to approximate errors.

KW - Computational fluid

KW - Fluid dynamics

KW - Interpolation method

KW - Numerical uncertainty

UR - https://doi.org/10.2514/6.2014-1433

U2 - 10.2514/6.2014-1433

DO - 10.2514/6.2014-1433

M3 - Chapter

BT - Proceedings of the Aerospace Sciences Meeting

ER -

Interpolation Method Needed for Numerical Uncertainty Analysis of Computational Fluid Dynamics

Abstract

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