Uncertainty Assessment for CFD Using Error Transport Equation

Computational fluid dynamics (CFD) is being
extensively used to study physics of complex flow
phenomena and to improve engineering designs.
However, the degree of acceptance of CFD results is
still largely dependent on confidence building via
comparison with experiments. The so-called numerical
uncertainty (or error) arising from a CFD simulation
can be due to a variety of error sources. The text
covers these numerical error related aspects with an
emphasis on the discretization error in regard with
its theoretical background and the commonly used
methods for identification and estimation. A novel
approach, named error transport equation (ETE) method
is formulated, aiming at developing a generalized
algorithm that can be used in conjunction with CFD
codes to quantify the discretization error in a
selected process variable such as velocity and
temperature. It is demonstrated via verification
against exact solutions that the ETE technique is a
viable tool for quantifying mesh size related errors
on a single grid computation. The intended readers of
this book are researchers and engineers who are
interested in the uncertainty topic and particularly
the error quantification methods.

Autorentext
Gusheng Hu received his B.S. in Mechanical Engineering in 2000 from FH-Augsburg, Germany. He earned both the M.S. and Ph.D. in Mechanical Engineering from the West Virginia University, Morgantown, WV in 2002 and 2005 respectively. Currently he holds an engineering position at GE Aviation.

Klappentext
Computational fluid dynamics (CFD) is being extensively used to study physics of complex flow phenomena and to improve engineering designs. However, the degree of acceptance of CFD results is still largely dependent on confidence building via comparison with experiments. The so-called numerical uncertainty (or error) arising from a CFD simulation can be due to a variety of error sources. The text covers these numerical error related aspects with an emphasis on the discretization error in regard with its theoretical background and the commonly used methods for identification and estimation. A novel approach, named error transport equation (ETE) method is formulated, aiming at developing a generalized algorithm that can be used in conjunction with CFD codes to quantify the discretization error in a selected process variable such as velocity and temperature. It is demonstrated via verification against exact solutions that the ETE technique is a viable tool for quantifying mesh size related errors on a single grid computation. The intended readers of this book are researchers and engineers who are interested in the uncertainty topic and particularly the error quantification methods.