Download or read book Wavelet based Homogenization with Application to Flow in Porous Media written by Chia-Ming Wang and published by . This book was released on 2005 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Homogenization and Porous Media written by Ulrich Hornung and published by Springer Science & Business Media. This book was released on 1997 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.
Download or read book Highly Oscillatory Problems written by Bjorn Engquist and published by Cambridge University Press. This book was released on 2009-07-02 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation.
Download or read book A Wavelet based Multi scale and Homogenized Modeling for Pressure Waves Propagation in Congested Media written by Samy Mokhtari and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing a flow within a congested solid medium is still nowadays an important scientific problematics in multiple research fields, such as nuclear engineering. Indeed, methods classically used in Fluid-Structure Interaction (FSI), which rely on an explicit representation of all interfaces, would in such a case result in cumbersome computations. Thus, in order to bypass on the one hand the numerous interfaces with the solid medium microstructure, and on the other hand the smallest spatial scales contained within the flow, more mesoscopic approaches have been proposed in literature. A porous medium modeling [1] has for instance been developed to study the interaction between an incompressible viscous turbulent flow and nuclear fuel assemblies, in the framework of a seismic loading on a Pressurized Water Reactor (PWR). The current PhD thesis aims at extending such a modeling to account for the propagation of compressible pressure waves within the flow and solid medium. Such a phenomenon can result from a sudden depressurization of a PWR primary loop. In literature, the interaction between such a pressure wave and the solid medium is based on a simplified representation of the latter, through for instance an acoustic impedance [2]. The aim is thus to develop a multiscale and homogenized modeling for a compressible flow within a congested solid medium, able on the one hand to take into account (without any interface meshing) the structure geometry, and on the other hand, to reconstruct, from the homogenized fluid, the force applied to the underlying microstructure. This new modeling shall also bypass the classical limitations encountered in homogenization and multiscale methods literature (micromechanics and RVE, asymptotic homogenization, spatial filtering, Variational Multi-Scale method, Multi-Resolution Analysis...), such as : scale separation assumption, periodicity, boundary conditions, linearity assumption, closure modeling between resolved and unresolved scales...To this end, in the spirit of [3], Continuous Wavelet Transform (CWT) is applied directly on the Partial Differential Equations (PDEs) governing the compressible flow. Such a process allows to derive spatially filtered PDEs governing an equivalent homogenized flow. Furthermore, this use of CWT allows to properly take into account the real fluid boundary conditions, and to connect microscopic (real fields) and mesoscopic (homogenized) variables with an analytical closure expression (i.e. no closure modeling). Thus, the computation of the homogenized pressure field opens the way to the reconstruction of the microscopic pressure field and the force applied by the fluid to the solid medium microstructure. This is a first major step in the design of a homogenized solver for Fluid-Structure Interaction (FSI). First results of this ongoing work have been published in [4]. [1] Ricciardi, G. Fluid-structure interaction modelling of a PWR fuel assembly subjected to axial flow. J. Fluids Struct., (2016), 62 :15-171 [2] Faucher, V. ; Crouzet, F. ; Debaud, F. Mechanical consequences of LOCA in PWR : Full scale coupled 1D/3D simulations with fluid-structure interaction. Nucl. Eng. Des., (2014), 270 :359-378. [3] Rouby, C. ; Rémond, D. ; Argoul, P. Orthogonal polynomials or wavelet analysis for mechanical system direct identification. Ann. Solid Struct. Mech., (2009), 1 :41-58. [4] Mokhtari, S. ; Ricciardi, G. ; Faucher, V. ; Argoul, P. ; Adélaide, L. Multiscale Filtering of Compressible Wave Propagation in Complex Geometry through a Wavelet-Based Approach in the Framework of Pressurized Water Reactors Depressurization Transient Analysis. Fluids, (2020), 5 :64.
Download or read book Operator Adapted Wavelets Fast Solvers and Numerical Homogenization written by Houman Owhadi and published by Cambridge University Press. This book was released on 2019-10-24 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents interplays between numerical approximation and statistical inference as a pathway to simple solutions to fundamental problems.
Download or read book Model Reduction and Coarse Graining Approaches for Multiscale Phenomena written by Alexander N. Gorban and published by Springer Science & Business Media. This book was released on 2006-09-22 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. All contributions are by experts whose specialities span a wide range of fields within science and engineering.
Download or read book Acta Numerica 2008 Volume 17 written by A. Iserles and published by Cambridge University Press. This book was released on 2008-06-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-impact, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Download or read book Homogenization of Coupled Phenomena in Heterogenous Media written by Jean-Louis Auriault and published by John Wiley & Sons. This book was released on 2010-01-05 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both naturally-occurring and man-made materials are often heterogeneous materials formed of various constituents with different properties and behaviours. Studies are usually carried out on volumes of materials that contain a large number of heterogeneities. Describing these media by using appropriate mathematical models to describe each constituent turns out to be an intractable problem. Instead they are generally investigated by using an equivalent macroscopic description - relative to the microscopic heterogeneity scale - which describes the overall behaviour of the media. Fundamental questions then arise: Is such an equivalent macroscopic description possible? What is the domain of validity of this macroscopic description? The homogenization technique provides complete and rigorous answers to these questions. This book aims to summarize the homogenization technique and its contribution to engineering sciences. Researchers, graduate students and engineers will find here a unified and concise presentation. The book is divided into four parts whose main topics are Introduction to the homogenization technique for periodic or random media, with emphasis on the physics involved in the mathematical process and the applications to real materials. Heat and mass transfers in porous media Newtonian fluid flow in rigid porous media under different regimes Quasi-statics and dynamics of saturated deformable porous media Each part is illustrated by numerical or analytical applications as well as comparison with the self-consistent approach.
Download or read book Applications of the Homogenization Method to Flow and Transport in Porous Media written by Ulrich Hornung and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiscale Modeling and Simulation in Science written by Björn Engquist and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.
Download or read book Spatial Accuracy Assessment in Natural Resources and Environmental Sciences written by and published by . This book was released on 1996 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This international symposium on theory and techniques for assessing the accuracy of spatial data and spatial analyses included more than ninety presentations by representatives from government, academic, and private institutions in over twenty countries throughout the world. To encourage interactions across disciplines, presentations in the general subject areas of spatial statistics, geographic information systems, remote sensing, and multidisciplinary approaches were intermixed throughout the three days of sessions.
Download or read book Quantum Transport written by Gregoire Allaire and published by Springer Science & Business Media. This book was released on 2008-08-13 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, a result of The CIME Summer School held in Cetraro, Italy, in 2006, four leading specialists present different aspects of quantum transport modeling. It provides an excellent basis for researchers in this field.
Download or read book Multiscale Model Reduction written by Eric Chung and published by Springer Nature. This book was released on 2023-06-07 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods. Multiscale numerical methods have become popular tools for modeling processes with multiple scales. These methods allow reducing the degrees of freedom based on local offline computations. Moreover, these methods allow deriving rigorous macroscopic equations for multiscale problems without scale separation and high contrast. Multiscale methods are also used to design efficient solvers. This book offers a combination of analytical and numerical methods designed for solving multiscale problems. The book mostly focuses on methods that are based on multiscale finite element methods. Both applications and theoretical developments in this field are presented. The book is suitable for graduate students and researchers, who are interested in this topic.
Download or read book Random Porous Media Flow on Large 3 D Grids Numerics Performance Application to Homogenization written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1993 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Homogenization Applied to Stokes Flow in Porous Media written by Anders Holmbom and published by . This book was released on 1993 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiscale Finite Element Methods written by Yalchin Efendiev and published by Springer Science & Business Media. This book was released on 2009-01-10 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to describe the main concepts and recent - vances in multiscale ?nite element methods. This monograph is intended for thebroaderaudienceincludingengineers,appliedscientists,andforthosewho are interested in multiscale simulations. The book is intended for graduate students in applied mathematics and those interested in multiscale compu- tions. It combines a practical introduction, numerical results, and analysis of multiscale ?nite element methods. Due to the page limitation, the material has been condensed. Each chapter of the book starts with an introduction and description of the proposed methods and motivating examples. Some new techniques are introduced using formal arguments that are justi?ed later in the last chapter. Numerical examples demonstrating the signi?cance of the proposed methods are presented in each chapter following the description of the methods. In the last chapter, we analyze a few representative cases with the objective of demonstrating the main error sources and the convergence of the proposed methods. A brief outline of the book is as follows. The ?rst chapter gives a general introductiontomultiscalemethodsandanoutlineofeachchapter.Thesecond chapter discusses the main idea of the multiscale ?nite element method and its extensions. This chapter also gives an overview of multiscale ?nite element methods and other related methods. The third chapter discusses the ext- sion of multiscale ?nite element methods to nonlinear problems. The fourth chapter focuses on multiscale methods that use limited global information.
Download or read book Applied Mathematics Entering the 21st Century written by James M. Hill and published by SIAM. This book was released on 2004-04-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Included in this volume are the Invited Talks given at the 5th International Congress of Industrial and Applied Mathematics. The authors of these papers are all acknowledged masters of their fields, having been chosen through a rigorous selection process by a distinguished International Program Committee. This volume presents an overview of contemporary applications of mathematics, with the coverage ranging from the rhythms of the nervous system, to optimal transportation, elasto-plasticity, computational drug design, hydrodynamic and meteorological modeling, and valuation in financial markets. Many papers are direct products of the computer revolution: grid generation, multi-scale modeling, high-dimensional numerical integration, nonlinear optimization, accurate floating-point computations and advanced iterative methods. Other papers demonstrate the close dependence on developments in mathematics itself, and the increasing importance of statistics. Additional topics relate to the study of properties of fluids and fluid-flows, or add to our understanding of Partial Differential Equations.
