Turbulent Flow Computation In various branches of fluid mechanics our understanding is inhibited by the presence of turbulence. Although many experimental and theoretical studies have significantly helped to increase our physical understanding a comp hensive and predictive theory of turbulent flows has not yet been established. Therefore the prediction of turbulent flow relies heavily on simulation stra gies. The development of reliable methods for turbulent flow computation will have a significant impact on a variety of technological advancements. These range from aircraft and car design to turbomachinery combustors and process engineering. Moreover simulation approaches are important in materials sign prediction of biologically relevant flows and also significantly contribute to the understanding of environmental processes including weather and climate forecasting. The material that is compiled in this book presents a coherent account of contemporary computational approaches for turbulent flows. It aims to p vide the reader with information about the current state of the art as well as to stimulate directions for future research and development. The book puts part ular emphasis on computational methods for incompressible and compressible turbulent flows as well as on methods for analysing and quantifying nume cal errors in turbulent flow computations. In addition it presents turbulence modelling approaches in the context of large eddy simulation and unfolds the challenges in the field of simulations for multiphase flows and computational fluid dynamics (CFD) of engineering flows in complex geometries. Apart from reviewing main research developments new material is also included in many of the chapters. Under resolution and Diagnostics in Spectral Simulations of Complex Geometry Flows High Resolution Methods for Computing Turbulent Flows Preserving Symmetry in Convection diffusion Schemes Analysis and Control of Errors in the Numerical Simulation of Turbulence Designing Adaptive Low dissipative High Order Schemes for Long time Integrations Building Blocks for Reliable Complex Nonlinear Numerical Simulations Alpha modeling Strategy for LES of Turbulent Mixing Forward in time Differencing for Fluids: Simulation of Geophysical Turbulence Direct Numerical Simulations of Multiphase Flows Examples of Contemporary CFD Simulations.