Approximate Deconvolution Models of Turbulence

Analysis, Phenomenology and Numerical Analysis
2012
ISBN: 978-3-642-24408-7
Verlag: Springer

Buch, Englisch, Band 2042, 184 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 306 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Rebholz, Leo G.

Layton, William J.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen

Inhaltsverzeichnis

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.