Finite Element Techniques in Groundwater Flow Studies
With Applications in Hydraulic and Geotechnical EngineeringBy
- I. Kazda, Technical University of Prague, Department of Civil Engineering, Prague, Czechoslovakia
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.
Developments in Geotechnical Engineering
Published: October 1990
...a reasonably thorough, rigorous and current presentation of the finite-element method in ground-water flow and geotechnical problems...a valuable technical addition to an engineering geology library.
Bulletin of the Association of Engineering Geologists
- A selection of contents: Index of Symbols. Introduction. 1. Fundamental Equations of Groundwater Flow. 2. Variational Principles for Groundwater Flow. 3. Functional Discretization by the Finite Element. 4. Linear Problems of Steady Groundwater Flow. 5. Non-linear Problems of Steady Groundwater Flow. 6. Unsteady Groundwater Flow. 7. Unsteady Flow in a Compressible Medium. 8. Special Techniques in the Finite Element Method. 9. Coding of the Finite Element Method. 10. Program for the Solution of Confined Steady Groundwater Flow. References.