Research Catalog

Title

Numerical methods in subsurface hydrology, with an introduction to the finite element method [by] Irwin Remson, George M. Hornberger [and] Fred J. Molz.

Author

Remson, Irwin.

Publication

New York, Wiley-Interscience [1971]

Items in the Library & Off-site

Details

Additional Authors

• Hornberger, George M.
• Molz, Fred J.

Description

xvi, 389 pages; 24 cm

Subject

• Groundwater
• Numerical analysis
• Eau souterraine
• Analyse mathématique
• Finite-Elemente-Methode
• Oberflächenwasser
• Physik
• Hydrology > Data processing
• Finite element method
• Groundwater > Data processing

Bibliography (note)

• Includes bibliographies.

Contents

PHYSICAL OCCURRENCE OF SUBSURFACE WATER: Subsurface hydrologic systems -- Subsurface hydrologic potentials -- Hubbert's "Force Potential" for saturated flow -- THEORY OF FLOW OF SUBSURFACE WATER: Historical background -- Equation of continuity for flow in nondeformable media -- Darcy's law -- General equations describing subsurface flow in non-deformable media -- Unsaturated subsurface flow -- Saturated subsurface flow -- Saturated unconfined subsurface flow -- Solution of problems in subsurface hydrology -- FINITE-DIFFERENCE METHODS APPLIED TO TRANSIENT-FLOW PROBLEMS: Construction of finite-difference approximations -- Application to a one-dimensional linear boundary-value problem -- A method for solution of one-dimensional nonlinear problems in subsurface hydrology -- Derivative boundary conditions -- Problems in two-space dimensions -- An ADI method for problems in two-space dimensions -- Linearization of the algebraic problem -- Problems involving irregular boundaries -- Increasing the time increment -- Richardson's extrapolation -- Miscellaneous methods for transient problems -- Selected applications -- FINITE-DIFFERENCE METHODS APPLIED TO STEADY-FLOW PROBLEMS: Background theory and nomenclature -- Finite-difference approximations -- Approximation of boundary conditions -- Problems involving nonlinear elliptic equations -- Convergence -- SOLUTION OF THE DIFFERENCE EQUATIONS: Direct methods -- Introduction to iterative methods for linear equations -- Iterative methods for linear equations -- Iterative methods for nonlinear equations -- Assessment of iterative methods -- SIMILARITY SOLUTIONS IN SUBSURFACE HYDROLOGY: One-dimensional flow without gravity -- One-dimensional flow without gravity under an applied pressure -- Radial flow without gravity -- A numerical solution procedure for second-order ordinary differential equations -- THE FINITE ELEMENT METHOD: Theory of variational calculus -- Direct methods of variational calculus -- Application of the finite element method in subsurface hydrology.

ISBN

• 0471716502
• 9780471716501

LCCN

75142139

OCLC

• ocm00223431
• 223431
• SCSB-9128276

Owning Institutions

Princeton University Library