Download or read book On the Application of Stable Generalized Finite Element Method for One Dimensional Subsurface Flow and Transport Problems written by Tilsa Aryeni and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation concentrates on the application of the Generalized Finite Element Method (GFEM) to approximate the solutions of the Richards equation in unsaturated zone in one-dimensional heterogeneous soil layers. The problem is characterized by spatial discontinuity of the elliptic coefficient that depends on the unknown solution. It is known that unless the partition of the domain matches the discontinuity configuration, the accuracy of standard finite element techniques significantly deteriorates and standard refinement of the partition may not suffice. The GFEM is a viable alternative to overcome this predicament. It is based on the construction of certain enrichment functions supplied to the standard finite element space that capture the effects of the discontinuity. This approach is called stable (SGFEM) if it maintains an optimal rate of convergence and the conditioning of GFEM is not worse than that of the standard FEM. The implementation of the method to the quasilinear elliptic equation with multiple interfaces is carried out to investigate the performance of the method when applied to the purely elliptic portion of Richards equation. A convergence analysis is derived and the performance of the method is illustrated by several numerical examples. Furthermore, it is known that typical global formulations such as FEMs do not enjoy the numerical local conservation property that is crucial in many conservation law- based applications. To remedy this issue, a Lagrange multiplier technique is adopted to enforce local conservation. Numerical examples are given to demonstrate the performance of the proposed technique. In addition, a semi-analytical solution of the Richards Equation posed on a two-layered one-dimensional soil supplied with various boundary conditions is derived under a constraint that the constitutive relations are exponentially dependent on the pressure head. It allows for a transformation of the Richards Equation into a linear parabolic partial differential equation that governs a spatial-temporal function that represents the hydraulic conductivity. This analytical solution is imperative to examine the performance of SGFEM approximation to Richards equation. Several numerical examples are presented and tested with the analytical solution provided.
Download or read book Computational Methods in Subsurface Flow written by Peter S. Huyakorn and published by Academic Press. This book was released on 2012-12-02 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Subsurface Flow explores the application of all of the commonly encountered computational methods to subsurface problems. Among the problems considered in this book are groundwater flow and contaminant transport; moisture movement in variably saturated soils; land subsidence and similar flow and deformation processes in soil and rock mechanics; and oil and geothermal reservoir engineering. This book is organized into 10 chapters and begins with an introduction to partial differential and various solution approaches used in subsurface flow. The discussion then shifts to the fundamental theory of the finite element method, with emphasis on the Galerkin finite element method and how it can be used to solve a wide range of subsurface problems. The subjects treated range from simple problems of saturated groundwater flow to more complex ones of moisture movement and multiphase flow in petroleum reservoirs. The chapters that follow focus on fluid flow and mechanical deformation of conventional and fractured porous media; point and subdomain collocation techniques and the boundary element technique; and the applications of finite difference techniques to single- and multiphase flow and solute transport. The final chapter is devoted to other alternative numerical methods that are based on combinations of the standard finite difference approach and classical mathematics. This book is intended for senior undergraduate and graduate students in geoscience and engineering, as well as for professional groundwater hydrologists, engineers, and research scientists who want to solve or model subsurface problems using numerical techniques.
Download or read book Finite Element Techniques in Groundwater Flow Studies written by I. Kazda and published by Elsevier. This book was released on 2012-12-02 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) is one of those modern numerical methods whose rise and development was incited by the rapid development of computers. This method has found applications in all the technical disciplines as well as in the natural sciences.One of the most effective applications of the finite element method is its use for the solution of groundwater flow problems encountered in the design and maintenance of hydraulic structures and tailing dams, in soil mechanics, hydrology, hydrogeology and engineering geology.The stimuli to write this book came from the results obtained in the solution of practical problems connected both with the construction and maintenance of fill-type dams and tailing dams and the utilization of groundwater in Czechoslovakia, and on the other hand from the experience gained in teaching hydraulic structures theory at the Faculty of Civil Engineering of the Technical University of Prague. All the experience so far obtained shows markedly the advantages of the finite element method and the great possibilities of its further development as well as its considerable demands on the algorithmization, programming and use of computer possibilities. The reader will find an explanation of the fundamentals of the finite element method directed mainly toward isoparametric elements having an exceptional adaptability and numerical reliability. The finite element method application to groundwater flow concerns mainly two-dimensional problems, which occur most frequently in practice. Considerable attention is given to non-linear and non-stationary problems, which are most important in application.A computer program (based on the eight-noded isoparametric elements) is included and fully documented.The book will be useful to civil engineers, hydrogeologists and engineering geologists who need the finite element method as a solution tool for the complex problems encountered in engineering practice.
Download or read book Development of Generalized Free Surface Flow Models Using Finite Element Techniques written by D. Michael Gee and published by . This book was released on 1978 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two finite element hydrodynamic models, one for two-dimensional free surface flow in the horizontal plane and one for the vertical plane are being evaluated. Although the models are formulated to solve dynamic flow problems, all work to date has been with steady state solutions. Recent research has focused on mass continuity performance of the models, proper boundary condition specification, and comparison with finite difference techniques. The objective of this research is to develop generalized mathematical models for routine use by the engineering community. This paper presents recent results of evaluation and application of the models. (Author).
Download or read book Finite Element Simulation in Surface and Subsurface Hydrology written by George F. Pinder and published by Elsevier. This book was released on 2013-09-03 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Simulation in Surface and Subsurface Hydrology provides an introduction to the finite element method and how the method is applied to problems in surface and subsurface hydrology. The book presents the basic concepts of the numerical methods and the finite element approach; applications to problems on groundwater flow and mass and energy transport; and applications to problems that involve surface water dynamics. Computational methods for the solution of differential equations; classification of partial differential equations; finite difference and weighted residual integral techniques; and The Galerkin finite element method are discussed as well. The text will be of value to engineers, hydrologists, and students in the field of engineering.
Download or read book Finite Elements in Water Resources written by J. P. Laible and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the edited proceedings of the Fifth International Conference on Finite Elements in Water Resources, held at the University of Vermont, USA in June 1984. This Conference cont inues the successful series started at Princeton University in 1976, followed by the Conference in Imperial College, London, UK in 1978, the third Conference at the University of Mississippi, USA in 1980 and the fourth at the University of Hannover, Germany in 1982. The objective of this Conference is to provide engineers and scientists interested in water resources with the state-of-t- art on finite element modelling. The Proceedings review the basic theory and applications of the technique in groundwater and seepage, transport phenomena, viscous flow, river, lake and ocean modelling. The fundamentals of the numerical techniques employed in finite elements are also discussed. Many applications illus trate the versatility and generality of the Finite Element Method for the simulation of a wide range of problems in water resources. More recent schemes, in particular, boundary elements, are also presented, together with a series of advanced numerical techniques. The Conference has become an internationally accepted forum for the presentation of new developments of finite elements in water resources techniques. Because of this, a large number of abstracts were submitted to the Organizing Committee and it is our only reg ret that it was impossible to accept all these contributions. The overwhelming response to our Call for Papers has ensured the high quality of these proceedings.
Download or read book Finite Element Solution of Steady State Potential Flow Problems written by Hydrologic Engineering Center (U.S.) and published by . This book was released on 1970 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods in Subsurface Hydrology with an Introduction to the Finite Element Method written by Irwin Remson and published by John Wiley & Sons. This book was released on 1971 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Element Methods for Incompressible Flow Problems written by Volker John and published by Springer. This book was released on 2016-10-27 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.
Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1991 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Elements in Water Resources written by K.-P. Holz and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1095 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the papers presented at the Fourth International Conference on Finite Elements in Water Resources, held in June, 1982, at the University of Hannover, Federal Re public of Germany. This Conference continued the successful series of previous conferences held at Princeton University in 1976, at Imperial College in 1978, and at the University of Mississippi in 1980. Since Finite Elements have proved to be a powerful means for analysing water resource problems, the principal objective of the Conference was to provide an exchange of experiences in practical applications of the finite element method and to establish a forum for discussion regarding accuracy, economy, limitations and improvements. Related discretization methods were included within the scope of the Conference. New develop ments in numerical and computational techniques, basic mathe matical formulations, and soft- and hardware aspects were considered to be equally important topics for an exchange of ideas between both theoretically and practically oriented re searchers. The Conference Organizing Committee is very grateful to the many distinguished scientists who attended the Conference, and for their contributions towards the proceedings. This collection of papers in being made available to a wider audience of en gineers and scientists by CML Publications in Southampton, U.K.
Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1991 with total page 1210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1988 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications of the Finite Element Method in Geotechnical Engineering written by Chandrakant S. Desai and published by . This book was released on 1972 with total page 1254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media written by Roland W. Lewis and published by John Wiley & Sons. This book was released on 1999-01-07 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seit der Veröffentlichung der Erstauflage 1987 haben Forschungaktivitäten und professionelle Anwendungen auf dem Gebiet poröser Medien rapide zugenommen. Deshalb wurde die 2. Auflage komplett überarbeitet und aktualisiert. Führende Experten stellen die mechanischen und numerischen Aspekte des Fließens im porösen Medium sehr detailliert dar. (09/98)
Download or read book Application of the Finite Element Method to Vertically Stratified Hydrodynamic Flow and Water Quality written by Robert C. MacArthur and published by . This book was released on 1980 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer program RMA-7 has been expanded to be able to simulate density induced flows and water quality conditions typically found in deep reservoirs. The mathematical basis for the program and methods of implementing the code for various kinds of flow are discussed. Results from two different applications are presented. The first example simualtes flow conditions that were measured in a physical model of a deep reservoir. Results are also included for simulations of the circulation, temperature and dissolved oxygen concentrations for Lake Taneycomo, Missouri. Comparison of measured and computed results from both applications shows that the RMA-7 model provides reasonably accurate results for both flow circulating and water quality. (Author).
Download or read book FEFLOW written by Hans-Jörg G. Diersch and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt: FEFLOW is an acronym of Finite Element subsurface FLOW simulation system and solves the governing flow, mass and heat transport equations in porous and fractured media by a multidimensional finite element method for complex geometric and parametric situations including variable fluid density, variable saturation, free surface(s), multispecies reaction kinetics, non-isothermal flow and multidiffusive effects. FEFLOW comprises theoretical work, modeling experiences and simulation practice from a period of about 40 years. In this light, the main objective of the present book is to share this achieved level of modeling with all required details of the physical and numerical background with the reader. The book is intended to put advanced theoretical and numerical methods into the hands of modeling practitioners and scientists. It starts with a more general theory for all relevant flow and transport phenomena on the basis of the continuum approach, systematically develops the basic framework for important classes of problems (e.g., multiphase/multispecies non-isothermal flow and transport phenomena, discrete features, aquifer-averaged equations, geothermal processes), introduces finite-element techniques for solving the basic balance equations, in detail discusses advanced numerical algorithms for the resulting nonlinear and linear problems and completes with a number of benchmarks, applications and exercises to illustrate the different types of problems and ways to tackle them successfully (e.g., flow and seepage problems, unsaturated-saturated flow, advective-diffusion transport, saltwater intrusion, geothermal and thermohaline flow).
