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Stokes Darcy Equations
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Book Synopsis Stokes–Darcy Equations by : Ulrich Wilbrandt
Download or read book Stokes–Darcy Equations written by Ulrich Wilbrandt and published by Springer. This book was released on 2019-01-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numerical analysis and scientific computing. Almost all intermediate results are given with complete, rigorous proofs, including theorems which can be rarely found in the literature such that this book serves well as a reference on the topic. Special care is taken to analyze the difficult cases of non-smooth interfaces which are not completely enclosed in one subdomain, i.e, intersect with the outer boundary. This can hardly be found in the literature. Additionally, known and new subdomain iterative methods are introduced, analyzed and applied to standard examples as well as one example motivated by a geoscientific setting.
Book Synopsis Multiphase Flow in Permeable Media by : Martin J. Blunt
Download or read book Multiphase Flow in Permeable Media written by Martin J. Blunt and published by Cambridge University Press. This book was released on 2017-02-16 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fundamental description of multiphase fluid flow through porous rock, based on understanding movement at the pore, or microscopic, scale.
Book Synopsis Handbook of Numerical Analysis by : Philippe G. Ciarlet
Download or read book Handbook of Numerical Analysis written by Philippe G. Ciarlet and published by Gulf Professional Publishing. This book was released on 1990 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory and Practice of Finite Elements by : Alexandre Ern
Download or read book Theory and Practice of Finite Elements written by Alexandre Ern and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.
Book Synopsis Homogenization and Porous Media by : Ulrich Hornung
Download or read book Homogenization and Porous Media written by Ulrich Hornung and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 290 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.
Book Synopsis Fractured Porous Media by : Pierre M. Adler
Download or read book Fractured Porous Media written by Pierre M. Adler and published by Oxford University Press, USA. This book was released on 2013 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic treatment of the geometrical and transport properties of fractures, fracture networks, and fractured porous media. It is divided into two major parts. The first part deals with geometry of individual fractures and of fracture networks. The use of the dimensionless density rationalizes the results for the percolation threshold of the networks. It presents the crucial advantage of grouping the numerical data for various fracture shapes. The second part deals mainly with permeability under steady conditions of fractures, fracture networks, and fractured porous media. Again the results for various types of networks can be rationalized by means of the dimensionless density. A chapter is dedicated to two phase flow in fractured porous media.
Book Synopsis Validity of Darcy's Law Under Transient Conditions by : Charles E. Mongan
Download or read book Validity of Darcy's Law Under Transient Conditions written by Charles E. Mongan and published by . This book was released on 1985 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Navier—Stokes Equations by : Roger Temam
Download or read book Navier—Stokes Equations written by Roger Temam and published by Elsevier. This book was released on 2016-06-03 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.
Book Synopsis The Stokes Equations by : Werner Varnhorn
Download or read book The Stokes Equations written by Werner Varnhorn and published by De Gruyter Akademie Forschung. This book was released on 1994 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book consists of three parts. In the first part a theory of solvability for the stationary Stokes equations in exterior domains is developed. We prove existence of strong solutions in Sobolev spaces and use a localisation principle and the divergence equation to deduce further properties of the solution (uniqueness, asymptotics).
Book Synopsis The Navier-Stokes Equations by : P. G. Drazin
Download or read book The Navier-Stokes Equations written by P. G. Drazin and published by Cambridge University Press. This book was released on 2006-05-25 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.
Book Synopsis Applied Analysis of the Navier-Stokes Equations by : Charles R. Doering
Download or read book Applied Analysis of the Navier-Stokes Equations written by Charles R. Doering and published by Cambridge University Press. This book was released on 1995 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.
Book Synopsis Unified Separation Science by : J. Calvin Giddings
Download or read book Unified Separation Science written by J. Calvin Giddings and published by Wiley-Interscience. This book was released on 1991-01-16 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unifies the complex welter of techniques used for chemical separations by clearly formulating the concepts that are common to them. The mass transport phenomena underlying all separation processes are developed in a simple physical-mathematical form. The limitations and optimum performance of alternative separation techniques and the factors enhancing and limiting separation power can thus be described and explored. Generously illustrated and contains numerous exercises. Long awaited in the scientific community, it breaks new ground in understanding separation processes.
Book Synopsis Automated Solution of Differential Equations by the Finite Element Method by : Anders Logg
Download or read book Automated Solution of Differential Equations by the Finite Element Method written by Anders Logg and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Book Synopsis Navier-Stokes Equations by : Peter Constantin
Download or read book Navier-Stokes Equations written by Peter Constantin and published by University of Chicago Press. This book was released on 2020-04-07 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.
Book Synopsis Computational Methods for Multiphase Flows in Porous Media by : Zhangxin Chen
Download or read book Computational Methods for Multiphase Flows in Porous Media written by Zhangxin Chen and published by SIAM. This book was released on 2006-04-01 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.
Book Synopsis Mathematical and Numerical Modeling in Porous Media by : Martin A. Diaz Viera
Download or read book Mathematical and Numerical Modeling in Porous Media written by Martin A. Diaz Viera and published by CRC Press. This book was released on 2012-07-24 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete
Book Synopsis Navier-Stokes Equations by : Roger Temam
Download or read book Navier-Stokes Equations written by Roger Temam and published by Elsevier Science & Technology. This book was released on 1984 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third revised edition contains an expanded bibliography and has been brought up to date with reviews of recent progress.
