Defect Correction Methods for Fluid Flows at High Reynolds Numbers

<p><b>Defect Correction Methods for Fluid Flows at High Reynold’s Numbers<em> </em></b>presents the mathematical development of defect correction methods (DCM) in application to fluid flow problems in various settings. We will show several approaches to applying the DCM ideas in computational fluid dynamics (CFD) – from a basic idea of controlling the flow by the means of increased diffusion to the state-of-the-art family of novel DCM-based turbulence models. The main idea of the methods presented in this book is to use defect correction in turbulence modelling; additionally several methods will also be presented that aim at reducing the time discretization error.</p><p><b>Features </b></p><p>· Provides a road map starting from the ideas of minimally invasive controlling of turbulent flows to the ways of improving the existing regularization techniques with DCM to the ideas of ‘full defect correction’ in both space and time and finally to the more complex embedding of the DCM into turbulence modelling by the ‘correction’ of the whole turbulence model</p><p>· Can be used for teaching a topics course on a Masters or Ph.D. level. It is even more suitable as a reference for CFD theorists and practitioners with most of the methods being minimally invasive and therefore easy to implement in the existing/legacy codes</p><p>· Discusses the current challenges in turbulence modelling with defect correction showing several possible directions for future developments. Two source codes are provided – one for a regularization technique and another for a novel turbulence model – in order to give an interested researcher a quick start to the topic of DCM in CFD.</p>