Numerical Methods in Turbulence Simulation

Numerical Methods in Turbulence Simulation provides detailed specifications of the numerical methods needed to solve important problems in turbulence simulation. Numerical simulation of turbulent fluid flows is challenging because of the range of space and time scales that must be represented. This book provides explanations of the numerical error and stability characteristics of numerical techniques, along with treatments of the additional numerical challenges that arise in large eddy simulations. Chapters are written as tutorials by experts in the field, covering specific both contexts and applications. Three classes of turbulent flow are addressed, including incompressible, compressible and reactive, with a wide range of the best numerical practices covered.

A thorough introduction to the numerical methods is provided for those without a background in turbulence, as is everything needed for a thorough understanding of the fundamental equations. The small scales that must be resolved are generally not localized around some distinct small-scale feature, but instead are distributed throughout a volume. These characteristics put particular strain on the numerical methods used to simulate turbulent flows.

• Includes a detailed review of the numerical approximation issues that impact the simulation of turbulence
• Provides a range of examples of large eddy simulation techniques
• Discusses the challenges posed by boundary conditions in turbulence simulation and provides approaches to addressing them

Robert D. Moser is W. A. "Tex" Moncrief, Jr. Chair in Computational Engineering and Sciences at The University of Texas at Austin. Before joining the faculty of The University of Texas at Austin in 2005 he was a research scientist at the NASA-Ames Research Center and then a professor of theoretical and applied mechanics at the University of Illinois. He is a faculty member of the Thermal and Fluid Systems program, and serves as the area coordinator for that program. He is also a faculty member in the Institute for Computational Engineering and Sciences, where he is serving as Deputy Director. Prof. Moser is the Director of the DOE-funded Center for Predictive Engineering and Computational Sciences (PECOS). He is a recipient of the NASA Medal for Exceptional Scientific Achievement and is a fellow of the American Physical Society.