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.
From the reviews:
"This monograph presents a mathematical approach to turbulence modeling and is aimed at graduate students and researchers in the field of computational fluid dynamics. ... The book presents the governing Navier-Stokes equations and the basics of large eddy simulation from a mathematical perspective without going into details of the flow physics. ... Difficulties of the models in the vicinity of walls with no-slip boundary conditions are mentioned, and numerical examples of different flows illustrate some properties of the approximate deconvolution models." (Kai Schneider, Zentralblatt MATH, Vol. 1241, 2012)
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.
Series: Lecture Notes in Mathematics
Number Of Pages: 184
Published: 7th January 2012
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 22.86 x 15.24
Weight (kg): 0.28