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Book Algorithms  Data driven Methods and Analysis in Fluid Dynamics and Fluid Structure Interactions

Download or read book Algorithms Data driven Methods and Analysis in Fluid Dynamics and Fluid Structure Interactions written by Yushuang Luo and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first part, we study numerical methods for fluid-structure interactions (FSI). FSI problems are often too complex to solve analytically. On the other hand, numerically solving the whole system can be computaionally expensive. Our work focuses on stability-preserving reduced-order modeling techniques. A projection-based reduced-order modeling method is proposed and applied to the immersed boundary method (IBM) for biofluid systems. The reduced-order model (ROM) are derived from projecting the full-order model (FOM) on selected subspaces such that incompressibility and the Lyapunov stability are both preserved. We also address the practical issue of efficiently computing the reduced-order model using an interpolation technique. Next, a data-driven modeling approach for more general dynamics problem with latent variables is introduced without knowledge of the FOM. The data-driven model includes artificial latent variables in the state space, in addition to observed variables. We present a model framework where the stability of the coupled dynamics can be easily enforced. The model is implemented by recurrent cells and trained using back propagation through time. For both the projection-based method and the data-driven method, benchmark examples from order reductions are used to demonstrate the efficiency, robustness, and stability. Classic FSI problems are experimented to illustrate the accuracy and predictive capability of the proposed approaches. For the second part, we study the compressible Euler system for gas dynamics. We construct self-similar solutions to Riemann problems for the 1-dimensional isothermal Euler system. Such self-similar solutions always contain exactly two shock waves, necessarily generated at time $0_+$ and move apart along straight lines. We also provide physical interpretation of the solution structure, describing the behavior of the solution in the emerging wedge between the shock waves. We then move on to the 3-dimensional linearized Euler system. Radial solutions are used to construct examples of BV instability and $L^\infty$ blowup. Global existence of a class of radial solutions is shown using an argument based on scaling of the dependent variables, with variation estimates.

Book Data Driven Fluid Mechanics

    Book Details:
  • Author : Miguel A. Mendez
  • Publisher : Cambridge University Press
  • Release : 2023-01-31
  • ISBN : 1108842143
  • Pages : 469 pages

Download or read book Data Driven Fluid Mechanics written by Miguel A. Mendez and published by Cambridge University Press. This book was released on 2023-01-31 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book dedicated to data-driven methods for fluid dynamics, with applications in analysis, modeling, control, and closures.

Book Fluid structure Interactions

Download or read book Fluid structure Interactions written by Thomas Richter and published by Springer. This book was released on 2017-08-26 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.

Book Advances in Computational Fluid Structure Interaction and Flow Simulation

Download or read book Advances in Computational Fluid Structure Interaction and Flow Simulation written by Yuri Bazilevs and published by Birkhäuser. This book was released on 2016-10-04 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume celebrates the work of Tayfun E. Tezduyar on the occasion of his 60th birthday. The articles it contains were born out of the Advances in Computational Fluid-Structure Interaction and Flow Simulation (AFSI 2014) conference, also dedicated to Prof. Tezduyar and held at Waseda University in Tokyo, Japan on March 19-21, 2014. The contributing authors represent a group of international experts in the field who discuss recent trends and new directions in computational fluid dynamics (CFD) and fluid-structure interaction (FSI). Organized into seven distinct parts arranged by thematic topics, the papers included cover basic methods and applications of CFD, flows with moving boundaries and interfaces, phase-field modeling, computer science and high-performance computing (HPC) aspects of flow simulation, mathematical methods, biomedical applications, and FSI. Researchers, practitioners, and advanced graduate students working on CFD, FSI, and related topics will find this collection to be a definitive and valuable resource.

Book System  and Data Driven Methods and Algorithms

Download or read book System and Data Driven Methods and Algorithms written by Peter Benner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-08 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This first volume focuses on real-time control theory, data assimilation, real-time visualization, high-dimensional state spaces and interaction of different reduction techniques.

Book Computational Fluid Structure Interaction

Download or read book Computational Fluid Structure Interaction written by Yuri Bazilevs and published by John Wiley & Sons. This book was released on 2013-01-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid-Structure Interaction: Methods and Applications takes the reader from the fundamentals of computational fluid and solid mechanics to the state-of-the-art in computational FSI methods, special FSI techniques, and solution of real-world problems. Leading experts in the field present the material using a unique approach that combines advanced methods, special techniques, and challenging applications. This book begins with the differential equations governing the fluid and solid mechanics, coupling conditions at the fluid–solid interface, and the basics of the finite element method. It continues with the ALE and space–time FSI methods, spatial discretization and time integration strategies for the coupled FSI equations, solution techniques for the fully-discretized coupled equations, and advanced FSI and space–time methods. It ends with special FSI techniques targeting cardiovascular FSI, parachute FSI, and wind-turbine aerodynamics and FSI. Key features: First book to address the state-of-the-art in computational FSI Combines the fundamentals of computational fluid and solid mechanics, the state-of-the-art in FSI methods, and special FSI techniques targeting challenging classes of real-world problems Covers modern computational mechanics techniques, including stabilized, variational multiscale, and space–time methods, isogeometric analysis, and advanced FSI coupling methods Is in full color, with diagrams illustrating the fundamental concepts and advanced methods and with insightful visualization illustrating the complexities of the problems that can be solved with the FSI methods covered in the book. Authors are award winning, leading global experts in computational FSI, who are known for solving some of the most challenging FSI problems Computational Fluid-Structure Interaction: Methods and Applications is a comprehensive reference for researchers and practicing engineers who would like to advance their existing knowledge on these subjects. It is also an ideal text for graduate and senior-level undergraduate courses in computational fluid mechanics and computational FSI.

Book Computational Mechanics of Fluid Structure Interaction

Download or read book Computational Mechanics of Fluid Structure Interaction written by Rajeev Kumar Jaiman and published by Springer Nature. This book was released on 2021-11-29 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide a compilation of the state-of-the-art numerical methods for nonlinear fluid-structure interaction using the moving boundary Lagrangian-Eulerian formulation. Single and two-phase viscous incompressible fluid flows are considered with the increasing complexity of structures ranging from rigid-body, linear elastic and nonlinear large deformation to fully-coupled flexible multibody system. This book is unique with regard to computational modeling of such complex fluid-structure interaction problems at high Reynolds numbers, whereby various coupling techniques are introduced and systematically discussed. The techniques are demonstrated for large-scale practical problems in aerospace and marine/offshore engineering. This book also provides a comprehensive understanding of underlying unsteady physics and coupled mechanical aspects of the fluid-structure interaction from a computational point of view. Using the body-fitted and moving mesh formulations, the physical insights associated with structure-to-fluid mass ratios (i.e., added mass effects), Reynolds number, large structural deformation, free surface, and other interacting physical fields are covered. The book includes the basic tools necessary to build the concepts required for modeling such coupled fluid-structure interaction problems, thus exposing the reader to advanced topics of multiphysics and multiscale phenomena.

Book Uncertainty Quantification in Computational Fluid Dynamics

Download or read book Uncertainty Quantification in Computational Fluid Dynamics written by Hester Bijl and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.

Book Fluid Structure Interaction

Download or read book Fluid Structure Interaction written by Stefan Frei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-11-20 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. Contents Part I: Modeling and discretization On the implementation and benchmarking of an extended ALE method for FSI problems The locally adapted parametric finite element method for interface problems on triangular meshes An accurate Eulerian approach for fluid-structure interactions Part II: Solvers Numerical methods for unsteady thermal fluid structure interaction Recent development of robust monolithic fluid-structure interaction solvers A monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: Applications Fluid-structure interaction for vascular flows: From supercomputers to laptops Binary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard Equations Coupling fluid-structure interaction with phase-field fracture: Algorithmic details

Book Data driven modeling and optimization in fluid dynamics  From physics based to machine learning approaches

Download or read book Data driven modeling and optimization in fluid dynamics From physics based to machine learning approaches written by Michel Bergmann and published by Frontiers Media SA. This book was released on 2023-01-05 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book International Workshop on Fluid Structure Interaction  Theory  Numerics and Applications

Download or read book International Workshop on Fluid Structure Interaction Theory Numerics and Applications written by Stefan Hartmann and published by kassel university press GmbH. This book was released on 2009 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Methods for Simulation based Analysis of Fluid structure Interaction

Download or read book Methods for Simulation based Analysis of Fluid structure Interaction written by Jeffrey L. Payne and published by . This book was released on 2005 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods for analysis of fluid-structure interaction using high fidelity simulations are critically reviewed. First, a literature review of modern numerical techniques for simulation of aeroelastic phenomena is presented. The review focuses on methods contained within the arbitrary Lagrangian-Eulerian (ALE) framework for coupling computational fluid dynamics codes to computational structural mechanics codes. The review treats mesh movement algorithms, the role of the geometric conservation law, time advancement schemes, wetted surface interface strategies, and some representative applications. The complexity and computational expense of coupled Navier-Stokes/structural dynamics simulations points to the need for reduced order modeling to facilitate parametric analysis. The proper orthogonal decomposition (POD)/Galerkin projection approach for building a reduced order model (ROM) is presented, along with ideas for extension of the methodology to allow construction of ROMs based on data generated from ALE simulations.

Book Fluid Structure Interaction

Download or read book Fluid Structure Interaction written by Hans-Joachim Bungartz and published by Springer Science & Business Media. This book was released on 2007-06-24 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the series Lecture Notes in Computational Science and Engineering presents a collection of papers presented at the International Workshop on FSI, held in October 2005 in Hohenwart and organized by DFG's Research Unit 493 "FSI: Modeling, Simulation, and Optimization". The papers address partitioned and monolithic coupling approaches, methodical issues and applications, and discuss FSI from the mathematical, informatics, and engineering points of view.

Book Computational Fluid Structure Interaction

Download or read book Computational Fluid Structure Interaction written by Yong Zhao and published by Academic Press. This book was released on 2018-09-25 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid-Structure Interaction: Methods, Models, and Applications provides detailed explanations of a range of FSI models, their mathematical formulations, validations, and applications, with an emphasis on conservative unstructured-grid FVM. The first part of the book presents the nascent numerical methods, algorithms and solvers for both compressible and incompressible flows, computational structural dynamics (CSD), parallel multigrid, IOM, IMM and ALE methods. The second half covers the validations of these numerical methods and solvers, as well as their applications in a broad range of areas in basic research and engineering. Provides a comprehensive overview of the latest numerical methods used in FSI, including the unstructured-grid finite volume method (FVM), parallel multigrid scheme, overlapping mesh, immersed object method (IOM), immersed membrane method (IMM), arbitrary Lagragian-Eulerian (ALE), and more Provides full details of the numerical methods, solvers and their validations Compares different methods to help readers more effectively choose the right approach for their own FSI problems Features real-life FSI case studies, such as large eddy simulation of aeroelastic flutter of a wing, parallel computation of a bio-prosthetic heart valve, and ALE study of a micro aerial vehicle

Book Computational Overview of Fluid Structure Interaction

Download or read book Computational Overview of Fluid Structure Interaction written by Khaled Ghaedi and published by BoD – Books on Demand. This book was released on 2021-07-28 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid-Structure Interaction (FSI), also known as engineering fluid mechanics, deals with mutual interaction between fluid and structural components. Fluid flow depending on the structural shape, motion, surface, and structural roughness, acts as mechanical forces on the structure. FSI can be seen everywhere in medicine, engineering, aerospace, the sciences, and even our daily life. This book provides the basic concept of fluid flow behavior in interaction with structures, which is crucial for almost all engineering disciplines. Along with the fundamental principles, the book covers a variety of FSI problems ranging from fundamentals of fluid mechanics to plasma physics, wind turbines and their turbulence, heat transfer, magnetohydrodynamics, and dam-reservoir systems.

Book Fundamental Algorithms in Computational Fluid Dynamics

Download or read book Fundamental Algorithms in Computational Fluid Dynamics written by Thomas H. Pulliam and published by Springer Science & Business Media. This book was released on 2014-03-31 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as a textbook for courses in computational fluid dynamics at the senior undergraduate or graduate level, this book is a follow-up to the book Fundamentals of Computational Fluid Dynamics by the same authors, which was published in the series Scientific Computation in 2001. Whereas the earlier book concentrated on the analysis of numerical methods applied to model equations, this new book concentrates on algorithms for the numerical solution of the Euler and Navier-Stokes equations. It focuses on some classical algorithms as well as the underlying ideas based on the latest methods. A key feature of the book is the inclusion of programming exercises at the end of each chapter based on the numerical solution of the quasi-one-dimensional Euler equations and the shock-tube problem. These exercises can be included in the context of a typical course and sample solutions are provided in each chapter, so readers can confirm that they have coded the algorithms correctly.

Book Fundamental Trends in Fluid structure Interaction

Download or read book Fundamental Trends in Fluid structure Interaction written by Giovanni Paolo Galdi and published by World Scientific. This book was released on 2010 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of a fluid with a solid body is a widespread phenomenon in nature, occurring at different scales and different applied disciplines. Interestingly enough, even though the mathematical theory of the motion of bodies in a liquid is one of the oldest and most classical problems in fluid mechanics, mathematicians have, only very recently, become interested in a systematic study of the basic problems related to fluid-structure interaction, from both analytical and numerical viewpoints. Fundamental Trends in Fluid-Structure Interaction is a unique collection of important papers written by world-renowned experts aimed at furnishing the highest level of development in several significant areas of fluid-structure interactions. The contributions cover several aspects of this discipline, from mathematical analysis, numerical simulation and modeling viewpoints, including motion of rigid and elastic bodies in a viscous liquid, particulate flow and hemodynamic.