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.
