Recent advances in mechanics and fluid-structure interaction with applications : the Bong Jae Chung Memorial volume / / Fernando Carapau, Ashwin Vaidya, editors

• Record Nr.: UNISA996499867403316
• Pubbl/distr/stampa: Cham, Switzerland : , : Birkhäuser, , [2022]; ©2022
• ISBN: 3-031-14324-8
• Descrizione fisica: 1 online resource (385 pages)
• Collana: Advances in mathematical fluid mechanics
• Disciplina: 620.106
• Soggetti: Fluid mechanics; Fluid-structure interaction; Mecànica de fluids; Homenatges; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface -- Personal Memories and Tributes -- Publications by Bong Jae Chung -- Contents -- Part I Theory -- Natural Second-Order Regularity for Systems in the Case 1&lt -- p≤2 Using the A-Approximation -- 1 Introduction -- 2 On the A-Approximation of an Operator and Its Properties -- 2.1 Notation -- 2.2 N-Functions -- 2.3 Nonlinear Operators with (p,δ)-Structure -- 2.4 Approximation of a Nonlinear Operator -- 3 On the Existence and Uniqueness of Regular Solutions for the Approximate Problem -- 3.1 Description and Properties of the Boundary -- 3.2 Regularity Results with Possible Dependencies on A -- 4 Estimates Uniform with Respect to A for the Solutions of the Approximate Problem -- 5 Passing to the Limit -- 6 On the Time-Dependent Problem -- References -- Three-Dimensional Velocity Field Using the Cross-Model Viscosity Function -- 1 Introduction -- 2 Governing Equations -- 3 Main Results and Simulations -- 3.1 Constant Mean Pressure Gradient -- 3.2 Nonconstant Mean Pressure Gradient -- 4 Conclusions -- References -- Small Forced Oscillation of a Rigid Body in a Viscous Liquid -- 1 ; Introduction -- 2 Preliminary Results -- 3 Main Result -- References -- Critical Density Triplets for the Arrestment of a Sphere Falling in a Sharply Stratified Fluid -- 1 Introduction -- 2 Setup and Governing Equations -- 2.1 Setup Description -- 2.2 Nondimensionalization -- 2.3 The Potential Energy -- 3 Experimental Methods and Results -- 3.1 Tank, Bath, and Camera Setup -- 3.2 Stratification Setup -- 3.3 Experimental Results -- 4 Critical Density and Energy Criterion -- 4.1 Zero Density Transition Layer Thickness -- 4.2 Nonzero Density Transition Layer Thickness -- 5 Conclusion and Discussion -- Appendix -- Numerical Method -- References -- Part II Computation -- Numerical Investigation of Incompressible Fluid Flow in Planar Branching Channels.; 1 Introduction -- 2 Mathematical Model -- 2.1 Governing Equations -- 3 Numerical Methods -- 3.1 Artificial Compressibility Method -- 3.2 Finite Difference Solver -- 3.2.1 Immersed Boundary Method -- 3.2.2 Lax-Friedrichs Scheme -- 3.2.3 MacCormack Scheme -- 3.2.4 Numerical Stabilization -- 3.3 Finite Volume Solver -- 4 Numerical Simulations -- 4.1 Test Case Description -- 4.1.1 Domain Geometry -- 4.1.2 Boundary Conditions -- 4.2 Numerical Results -- 5 Conclusions and Remarks -- References -- Consistent C Element-Free Galerkin Method for Finite StrainAnalysis -- 1 Introduction -- 2 Interpolation -- 2.1 General Approach for Moving Least Squares -- 2.2 Quasi-Singular Weight Function -- 3 Discrete Equilibrium Equations -- 4 Hyperelasticity/Plasticity Using the Elastic Mandel Stress Tensor -- 4.1 Formulation -- 4.2 Constitutive Integration -- 4.3 Specific Yield Function -- 5 Numerical Tests -- 5.1 Straight Cantilever Beam with Closed-Form Solution -- 5.2 Billet Upsetting Test -- 5.3 Tension Test -- 6 Conclusions -- Appendix -- First and Second Variations of det[C] -- References -- Physics-Informed Bias Method for Multiphysics Machine Learning: Reduced Order Amyloid-β Fibril Aggregation -- 1 Multiphysics Modeling -- 1.1 Amylod-β Fibril Aggregation -- 1.2 Complex Multiphysics Modeling Costs -- 1.3 Amyloid-β Aggregation Model -- 2 Physics-Informed Machine Learning -- 2.1 Amyloid-β Fibril Aggregation -- 3 Case Study: Training Set Bias Method for Modeling Amyloid-β Aggregation -- 4 Conclusions -- References -- Reduced Order Model Closures: A Brief Tutorial -- 1 Introduction -- 2 A Crash Course in ROM Closure: A Toy Problem -- 3 Galerkin ROM (G-ROM) -- 4 The Closure Problem and Its Solution: The Closure Model -- 4.1 The Closure Problem -- 4.2 The Closure Model -- 4.2.1 The Ideal ROM (I-ROM) -- 4.2.2 Closure Model Construction.; 5 The Data-Driven Variational Multiscale ROM (D2-VMS-ROM) -- 5.1 Model Form Ansatz -- 5.2 Least Squares Problem -- 6 ROM Closures in Action: Numerical Results -- 7 Mathematical Foundations of ROM Closures -- 8 Conclusions and Outlook -- References -- Artificial Stress Diffusion in Numerical Simulations of Viscoelastic Fluid Flows -- 1 Introduction -- 1.1 Motivation -- 1.2 Artificial Diffusion Concept -- 1.3 Tensorial Stress Diffusion in Oldroyd-B-Like Models -- 1.4 Structure and Aim of This Work -- 2 Mathematical Model -- 2.1 Equations of Motion -- 2.2 Constitutive Relation: Oldroyd-B Model -- 2.3 Dimensionless Form of Equations -- 2.4 Boundary Conditions -- 2.5 Variational Formulation -- 3 Numerical Approximation -- 3.1 Discretization in Time: Convective Term -- 3.2 Discretization in Space -- 4 Artificial Stress Diffusion Implementation -- 5 Numerical Results -- 5.1 Constant Diffusion Coefficient -- 5.2 Time-Dependent Diffusion Coefficient -- 5.3 Time-Derivative-Dependent Diffusion Coefficient -- 5.4 Residual Diffusive Term -- 6 Conclusions and Remarks -- References -- Cellular Automata Describing Non-equilibrium Fluids with Non-mixing Substances -- 1 Introduction -- 2 Preliminaries and ; Definitions -- 2.1 Singular Perturbation and Pattern Stability -- 2.2 Assembly of CA Code Rules -- 2.3 Canonical Assembly of a CA Rule -- 3 Case Study: Rule 3E6IGS58S -- 3.1 Canonical Assembly of Rule 3E6IGS58S -- 3.2 Perturbations of the Canonical Assembly -- 4 Conclusions and Further Developments -- References -- Part III Experiments -- Circular Causality and Function in Self-Organized Systems with Solid-Fluid Interactions -- 1 Introduction -- 2 Exemplary Dissipative Structures -- 2.1 The Electrical Self-Organized Foraging Implementation: E-SOFI -- 2.2 The Chemical Self-Organized Foraging Implementation: C-SOFI.; 3 Agent-Environment Reciprocities as a General Framework for Self-Organization -- 4 Conclusions -- References -- Hydrokinetic Energy Harvesting Potential of Triangular Prims and Cross Cylinders -- 1 Introduction -- 2 Methods -- 3 Results -- 3.1 Data Comparison from the Cross Cylinder Turbine Model -- 3.2 Results from the Cross Cylinder Turbine Models -- 3.3 Results from Triangular Prism with Straight Sides -- 3.4 Results from Triangular Prism with Curved Sides -- 3.5 Summary and Discussion -- 4 Conclusion -- References -- Part IV Applications -- Fickian and Non-Fickian Transports in Ultrasound Enhanced Drug Delivery: Modeling and Numerical Simulation -- 1 Introduction -- 2 Coupling Acoustic Pressure with Drug Transport -- 3 Qualitative Behavior of the Total Mass -- 4 Stability Analysis -- 5 Numerical Simulations -- 6 Conclusions -- References -- Computational Analysis to Study the Efficiency of Shear-Activated Nano-Therapeutics in The Treatmentof Atherosclerosis -- 1 Introduction -- 2 Methods -- 2.1 Computational Fluid Dynamics (CFD) Analysis -- 2.2 Particle Trajectories -- 2.3 Breakup Criterion -- 2.4 Interpolation of Flow Data -- 2.5 Initial Conditions -- 2.6 Particle Ricochet Assumption -- 2.7 Convergence Test -- 3 Results -- 3.1 Optimal Breakup Threshold -- 3.2 Specific Density -- 3.3 Particle Diameter -- 3.4 Stenosis Shape and Location -- 4 Summary and Conclusion -- References -- Compressed CO2 Refrigeration for Energy Storage and CO2Utilization -- 1 Introduction -- 2 Heat Transfer Analysis -- 2.1 Parallel-Flow Heat Exchanger -- 2.2 Counter-Flow Heat Exchanger -- 3 Results and Discussions -- 4 Conclusions -- References -- A Two-Phase Model for Mucosal Aggregation and Clearance in the Human Tear Film -- 1 Introduction -- 2 Theoretical Model -- 2.1 The Fluid Model -- 2.2 Phase I: Mucoadhesion and Wrapping Mechanics -- 2.2.1 Adhesion Mechanics.; 2.2.2 Wrapping and Size of Aggregate -- 2.3 Phase II: The Particle Model -- 3 Computational Methods -- 3.1 The Fluid Model -- 3.2 The FSI Particle Model -- 4 Results -- 5 Discussion -- References.