This book deals with a spectrum of problems related to the mathematical modeling of multiphase filtration. Emphasis is placed on an inseparable triad: model — algorithm — computer code. An analysis of new and traditional filtration problems from the point of view of both their numerical implementation and the reproduction of one or another technological characteristics of the processes under consideration is given. The basic principles which underlie the construction of efficient numerical methods taking into account the filtration problems are discussed: non-evolutionary nature, degeneration, strongly varying coefficients, the (temporal) duration of the processes involved, etc. Also attention is paid to the splitting method in terms of the physical processes involved, the method of fictitious domains and the method of front separation in grid solution. A modular analysis is performed with computational algorithms, making it possible to set up simultaneously the structure of the algorithms themselves and the structure of programs to implement these algorithms on a computer. In conclusion, the author discusses issues concerning the possibility of constructing a model of an oil deposit on a computer.
- 190 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Problems Of Multiphase Fluid Filtration
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Table of contents
- Contents
- Introduction
- 1. Basic Notions of Multiphase Incompressible Fluid Filtration
- 2. Formulation of the Two-Phase Incompressible Fluid Filtration Problem with Capillary Forces
- 3. Two-Phase Incompressible Fluid Filtration Problems Without Taking into Account Capillary Forces. Buckley-Leverett Model
- 4. Two-Phase Filtration Models
- 5. Method of Fictitious Domains
- 6. Difference Schemes for Model Linear Filtration Problems. Elliptic Problem
- 7. Difference Schemes for Model Linear Filtration Problems. Parabolic Problem
- 8. Difference Schemes for Model Linear Problems of Two-Phase Incompressible Fluid Filtration in Terms of Potentials
- 9. Difference Schemes for Two-Phase Incompressible Fluid Filtration Problems
- 10. Splitting Method in Terms of Physical Processes in Two-Phase Incompressible Fluid Filtration Problems
- 11. Discontinuity Localization in Solutions of Difference Equations
- 12. Technology of Computational Experiment in Filtration Problems
- 13. Computer-Assisted Model of an Oil Deposit
- References
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Yes, you can access Problems Of Multiphase Fluid Filtration by A N Konovalov in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics Research & Study. We have over one million books available in our catalogue for you to explore.