Research Catalog

Title

The boundary integral equation method for porous media flow / James A. Liggett, Philip L-F. Liu.

Author

Liggett, James A.

Publication

London ; Boston : Allen & Unwin, 1983.

Items in the Library & Off-site

Details

Additional Authors

Liu, Philip L. F.

Description

xi, 255 pages : illustrations; 24 cm

Subject

• Gestein, ..
• Groundwater flow > Mathematics
• Boundary element methods
• Boundary element methods
• Groundwater flow > Mathematics
• Feuchteleitung
• Grundwasserstrom
• Porosität
• Poröser Stoff
• Randelemente-Methode
• Randwertproblem
• Grenzwertberechnung
• Hydraulik
• Numerische Mathematik

Note

• Includes indexes.

Bibliography (note)

• Bibliography: p. 248-251.

Contents

MODEL EQUATIONS FOR GROUNDWATER FLOW PROBLEMS: Conservation of mass -- Darcy's law -- Sources and sinks -- Non-Darcy flow -- Anisotropic media -- Boundary conditions for saturated flow -- Two-dimensional (Dupuit) flow in confined and unconfined aquifers -- Unsaturated flow -- DEVELOPMENT OF THE BOUNDARY INTEGRAL EQUATION METHOD: Integral equations in two- and three-dimensional forms -- Discretization of the two-dimensional boundary into linear elements -- A numerical example - flow through a rectangular region -- Interior solutions -- SPECIAL ELEMENTS: Singularities and singular elements -- Flow around a right-angled corner -- The sheetpile cut-off wall -- The tailwater singularity -- Far field solutions -- Sources and sinks -- ZONES: The compatibility equations -- The sheetpile problem -- The interzonal singularity -- Anisotropic aquifers -- TWO-DIMENSIONAL FREE SURFACE FLOW PROBLEMS: Free surface boundary conditions in a finite difference form -- Matrix formulation and assembly of equations -- Free surface flow through a zoned dam -- Recharge problems -- Accuracy and stability of the time dependent free surface conditions -- AXISYMMETRIC FLOW PROBLEMS: Integral equation for axisymmetric problems -- Computation of the Green function -- Numerical integration of the integral equation -- Axisymmetric free surface flow problems -- THREE-DIMENSIONAL PROBLEMS: Discretization of the integral equation -- Simple example -- Free surface flow problems -- Well problems -- MULTIPHASE FLOWS: Theoretical formulation -- The boundary integral equations -- Numerical examples for transient problems -- Approximate solutions for steady state problems -- A BIEM-FINITE ELEMENT COMBINATION: The finite element method -- Combining the FEM with the BIEM -- Reduction of the equations -- GENERAL GROUNDWATER PROBLEMS: Unsteady flow in a confined aquifer -- Nearly horizontal flows -- Leaky aquifers -- Numerical calculations -- Unconfined aquifers -- Calculations in complex basins -- PROGRAMS: GM8 -- GM9 -- DAM.

ISBN

• 0046200118
• 9780046200114

LCCN

82008795

OCLC

• ocm08476483
• 8476483
• SCSB-9130703

Owning Institutions

Princeton University Library