Error Estimation and Uncertainty Propagation in Computational Fluid Mechanics
نویسندگان
چکیده
Numerical simulation has now become an integral part of engineering design process. Critical design decisions are routinely made based on the simulation results and conclusions. ¥_rification and validation of the reliability of the numerical simulation is therefore vitally important in the engineering design processes. We propose to develop theories and methodologies that can automatically provide quantitative information about the reliability of the numerical simulation by estimating numerical approximation error, computational model induced errors and the uncertainties contained in the mathematical models so that the reliability of the numerical simulation can be verified and validated. We also propose to develop and implement methodologies and techniques that can control the error and uncertainty during the numerical simulation so that the reliability of the numerical simulation can be improved. Key words, error and uncertainty in numerical simulation, ZZ error estimators, error energy spectrum, mapping closure approximation, adaptive mesh refinement Subject classification. Fluid Mechanics
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