Numerical simulation in physics and engineering, trends and applications : lecture notes of the XVIII 'Jacques-Louis Lions' Spanish-French School / / edited by David Greiner, María Isabel Asensio, and Rafael Montenegro

• Record Nr.: UNISA996466552803316
• Pubbl/distr/stampa: Cham, Switzerland : , : Springer, , [2021]; ©2021
• ISBN: 3-030-62543-5
• Descrizione fisica: 1 online resource (197 pages) : illustrations
• Collana: SEMA SIMAI Springer ; ; v.24
• Disciplina: 551.48
• Soggetti: Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Models matemàtics; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- Preface -- Contents -- About the Editors -- An Introduction to Quasi-Static Aeroelasticity -- 1 Introduction -- 2 The Collapse of Tacoma Narrows Bridge -- 2.1 What Has Been Observed -- 2.2 The Strouhal Instability -- 2.3 The Resonance of a Bridge -- 2.4 The Buffting Phenomenon -- 2.5 Flutter Induced by a Coupling Between Two Eigenmodes -- 2.5.1 A Short Description of Flutter Phenomenon -- 2.5.2 Linear Stability Analysis -- 2.5.3 Discussion on the Apparition of the Flutter (Roots in λ Are Real or Complex Conjugate) -- 2.5.4 Graphic Interpretation of the Flutter -- 2.5.5 Discussion of the Flutter Phenomenon for the Tacoma Narrows Bridge -- 2.6 The Galloping of the Bridge and the Stall Flutter Phenomenon -- 2.7 Letter from W.P. Rodden to R. Scanlan About Tacoma -- 2.8 Answer from R. Scanlan to W.P. Rodden About Tacoma -- 2.9 The Stall Flutter Phenomenon in the Torsion of the Bridge -- 3 Generalization of the Apparent Wind Method -- 4 Assembly of Several Rigid Structures -- 5 Control Strategy for the Full System -- 5.1 The Cooperative Strategy -- 5.2 How to Compute the Limit of the Optimal Control When 0 -- 5.3 The Non-cooperative ; Strategy -- 5.3.1 Existence (and Uniqueness) of an Exact Decentralized Control with Coordination -- 5.4 A Coordination Algorithm for the Decentralized Control -- 6 Limit Cycle of Oscillations -- 6.1 Definition of a Limit Cycle of Oscillations -- 6.2 Localisation of Limit Cycles of Oscillations -- 6.3 How to Find Invariant Sets? -- 7 Computation of the Limit Cycle -- 7.1 Canonical Formulation for (98) -- 7.2 Second Step: Elimination of Second Order Terms -- 7.3 Partial Elimination of Terms of Order 3 -- 8 The Stall Flutter of a Model in a Wind Tunnel -- 8.1 The Measures from the Wind Tunnel -- 8.2 The Simple Mathematical Model Used -- 9 About the Added Mass Method -- 10 Conclusion -- References.; Computational Treatment of Interface Dynamics via Phase-Field Modeling -- 1 Introduction -- 1.1 Interface Dynamics in Computational Mechanics and the Phase-Field Method -- 1.2 Notational Conventions -- 2 Derivation of Phase-Field Models via Diffusification -- 2.1 A Classical Moving Boundary Problem for Solidification of Pure Materials -- 2.2 The Basis of Diffusification -- 2.3 The Phase-Field Model for Solidification -- 2.4 The Diffuse-Interface Transition Profile: Asymptotic Analysis -- 3 General Framework of Thermomechanics and Energy Dissipation for Phase-Field Models -- 3.1 The Idea Behind Thermomechanically-Consistent Phase-Field Modeling -- 3.2 Allen-Cahn and Cahn-Hilliard -- 3.2.1 Allen-Cahn Equation -- 3.2.2 Cahn-Hilliard Equation -- 3.3 Navier-Stokes-Cahn-Hilliard -- 4 The Diffuse Domain Approach -- 4.1 Derivation of a Diffuse Domain Model for a Standard Convection-Diffusion Problem -- 4.2 Diffuse Domain Method for Problems Posed on Evolving Surfaces -- 5 Numerical Examples -- 5.1 Solidification Model -- 5.2 Cahn-Hilliard Equation -- 5.3 Diffuse Domain Model -- References -- Consistent Internal Energy Based Schemes for the Compressible Euler Equations -- 1 Introduction -- 2 Derivation of the Numerical Schemes -- 2.1 A Basic Result on Convection Operators -- 2.2 Internal Energy Formulation -- 2.3 The Time Semi-discrete Pressure Correction Scheme -- 2.4 The Fully Discrete Pressure Correction Scheme -- 2.5 A Segregated Variant -- 2.6 A Numerical Test -- 3 Entropy -- 3.1 Meshes and Discrete Norms -- 3.2 Implicit Schemes -- 3.3 Explicit Schemes -- References -- Comparison and Analysis of Natural Laminar Flow Airfoil Shape Optimization Results at Transonic Regime with Bumps and Trailing Edge Devices Solved by Pareto Games and EAs -- 1 Introduction -- 2 NLF Airfoil Shape Design Optimization with Bump and TED Devices for Shock Wave Control.; 3 Comparison and Analysis of Optimization Results Using SCB and TED -- 3.1 Comparison and Analysis of Results: Advantages and Drawbacks of SCB and TED Devices -- 3.1.1 Comparing Efficiency of SCB Technology Versus TED Technology -- 3.1.2 Comparing the Design Quality Level of SCB Technology and TED Technology -- 3.2 Extension to the 3-D NLF Wing Design Optimization with 3-D SCB/TED Devices -- 4 Conclusion and Perspectives -- References -- Time-Parallel Algorithm for Two Phase Flows Simulation -- 1 Introduction -- 2 Model -- 2.1 Numerical Method -- 3 The Parareal Algorithm -- 3.1 Original Parareal Algorithm -- 3.2 Multistep Variant of Parareal -- 4 Test Case -- 4.1 About the Convergence -- 4.2 Speed-Up Performances -- 5 Conclusion -- References -- Modelling of Bedload Sediment Transport for Weak and Strong Regimes -- 1 Introduction -- 2 Proposed Model -- 2.1 Convergence to the Classical SVE System for Weak Regimes -- 2.2 Energy Balance -- References.