Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction. Mesh Adaptation for Computational Dynamics 2 is the second of two volumes and introduces topics including optimal control formulation,…mehr
Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction.
Mesh Adaptation for Computational Dynamics 2 is the second of two volumes and introduces topics including optimal control formulation, minimizing a goal function, and extending the steady algorithm to unsteady physics. Also covered are multi-rate strategies, steady inviscid flows in aeronautics and an extension to viscous flows.
This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.
Alain Dervieux is chief scientist at the Société Lemma and emeritus senior scientist at Inria, Sophia Antipolis. His main research interests are computational fluid dynamics, particularly approximations on unstructured meshes. Frederic Alauzet is a senior researcher at Inria Saclay and adjunct professor at Mississippi State University. His research focuses on anisotropic mesh adaptation, advanced solvers, mesh generation and moving mesh methods. Adrien Loseille is a research scientist at Inria Saclay, working in Luminary Cloud. His main domains of interest are unstructured mesh generation and adaptation for computational fluid dynamics. Bruno Koobus is professor at the University of Montpellier. His main research interests cover computational fluid dynamics, in particular the development of numerical methods on fixed and moving meshes, turbulence modeling and parallel algorithms.
Inhaltsangabe
Acknowledgments ix
Introduction xi
Chapter 1 Nonlinear Corrector for CFD 1
1.1. Introduction 1
1.1.1. Linear correction 3
1.1.2. Nonlinear correction 4
1.2. Two correctors for the Poisson problem 5
1.2.1. Notations 5
1.2.2. A priori corrector for the PDE solution 6
1.2.3. Finer-grid DC corrector for the PDE solution 8
1.3. RANS equations 9
1.3.1. Vector form of the RANS system 9
1.3.2. Formal discretization 10
1.3.3. Notations for discretization 11
1.4. Nonlinear functional correction 13
1.4.1. Finite volume nonlinear corrector 13
1.4.2. Finite element corrector 15
1.5. Example: supersonic flow 17
1.6. Concluding remarks 18
1.7. Notes 20
Chapter 2 Multi-scale Adaptation for Unsteady Flows 21
2.1. Introduction 21
2.2. Mesh adaptation efficiency 23
2.2.1. Regular and singular unsteady model 23
2.2.2. Representativity of the spatial interpolation error 24
