TY - BOOK AU - Layton,William J. AU - Rebholz,Leo ED - SpringerLink (Online service) TI - Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis T2 - Lecture Notes in Mathematics, SN - 9783642244094 AV - QA297-299.4 U1 - 518 23 PY - 2012/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Numerical analysis KW - Hydraulic engineering KW - Numerical Analysis KW - Engineering Fluid Dynamics N1 - 1 Introduction -- 2 Large Eddy Simulation -- 3 Approximate Deconvolution Operators and Models -- 4 Phenomenology of ADMs -- 5 Time Relaxation Truncates Scales -- 6 The Leray-Deconvolution Regularization -- 7 NS-alpha- and NS-omega-Deconvolution Regularizations N2 - This volume presents a mathematical development of a recent approach to the modeling and simulation of turbulent flows based on methods for the approximate solution of inverse problems. The resulting Approximate Deconvolution Models or ADMs have some advantages over more commonly used turbulence models – as well as some disadvantages. Our goal in this book is to provide a clear and complete mathematical development of ADMs, while pointing out the difficulties that remain. In order to do so, we present the analytical theory of ADMs, along with its connections, motivations and complements in the phenomenology of and algorithms for ADMs UR - http://dx.doi.org/10.1007/978-3-642-24409-4 ER -