The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the modern mathematical foundations behind computational science and its applications in physical and life sciences, and in engineering. One of its main objectives is to make available to the professional community expositions of results and in-depth presentation of techniques that are of current importance to technological and practical applications. This authoritative book presents an overview of the mathematics behind the simulation of turbulent flows and discusses in detail the phenomenology of turbulence in fluid dynamics, direct and large-eddy simulations, subgrid modeling, and also covers validation and reliability issues.
Author(s): Bernard J. Geurts
Series: De Gruyter Series in Computational Science and Engineering, 1
Publisher: De Gruyter
Year: 2022
Language: English
Pages: 320
City: Berlin
Preface
Contents
Part I: Phenomenology of turbulent flow
1 Direct and large-eddy simulation: context and introduction
2 Computational dynamical systems for turbulence
Part II: Numerical aspects of DNS and LES
3 Features of a basic numerical approach
4 Time-integration
5 Spatial discretization
Part III: Subgrid modeling
6 Filtering and rigorous subgrid modeling
7 Subgrid models
Part IV: Validation and error-assessment
8 Validation of large-eddy simulation
9 Interacting error dynamics
10 Epilogue
Bibliography
Index
