Introduction to groundwater modeling : finite difference and finite element methods /: finite difference and finite element methods. ([1995] ©1982)

• Record Type: Book
• Further Information: Note: Herbert F. Wang and Mary P. Anderson.
• Other Names: Wang, Herbert; Anderson, Mary P
• Contents: Cover image; Table of Contents; Front matter; Copyright; Preface; Chapter 1. Introduction; 1.1. MODELS; 1.2. PHYSICS OF GROUNDWATER FLOW; 1.3. LAPLACE'S EQUATION; 1.4. REGIONAL GROUNDWATER FLOW SYSTEM; Chapter 2. Finite Differences; 2.1. INTRODUCTION; 2.2. DIFFERENCES FOR DERIVATIVES; 2.3. ITERATIVE METHODS; 2.4. GAUSS-SEIDEL COMPUTER PROGRAM; 2.5. BOUNDARY CONDITIONS; Chapter 3. Finite Differences; 3.1. INTRODUCTION; 3.2. POISSON'S EQUATION; 3.3. ISLAND RECHARGE; 3.4. FINITE DIFFERENCE MODELS; 3.5. UNCONFINED AQUIFER WITH DUPUIT ASSUMPTIONS; 3.6. VALIDITY OF A NUMERICAL SOLUTION. Chapter 4. Finite Differences4.1. TRANSIENT FLOW EQUATION; 4.2. EXPLICIT FINITE DIFFERENCE APPROXIMATION; 4.3. IMPLICIT FINITE DIFFERENCE APPROXIMATION; 4.4. UNCONFINED AQUIFER WITH DUPUIT ASSUMPTIONS; Chapter 5. Other Solution Methods; 5.1. INTRODUCTION; 5.2. MATRIX NOTATION; 5.3. TRIDIAGONAL MATRICES; 5.4. ALTERNATING DIRECTION IMPLICIT (ADI) METHOD; 5.5. PRICKETT-LONNQUIST AND TRESCOTT-PINDER-LARSON MODELS; 5.6. CALIBRATION AND VERIFICATION; Chapter 6. Finite Elements; 6.1. INTRODUCTION; 6.2. GALERKIN'S METHOD; 6.3. TRIANGULAR ELEMENTS; 6.4. ASSEMBLY OF CONDUCTANCE MATRIX. 6.5. BOUNDARY CONDITIONS6.6. FINITE ELEMENT COMPUTER PROGRAM; 6.7. REGION-NEAR-A-WELL EXAMPLE; 6.8. SEEPAGE THROUGH A DAM; 6.9. POISSON'S EQUATION; Chapter 7. Finite Elements; 7.1. INTRODUCTION; 7.2. GALERKIN'S METHOD; 7.3. RECTANGULAR ELEMENT; 7.4. ASSEMBLY OF MATRIX DIFFERENTIAL EQUATION; 7.5. SOLVING THE MATRIX DIFFERENTIAL EQUATION; 7.6. COMPUTER PROGRAM FOR RESERVOIR PROBLEM; Chapter 8. Advective-Dispersive Transport; 8.1. INTRODUCTION; 8.2. DISPERSION; 8.3. SOLUTE TRANSPORT EQUATION; 8.4. FINITE ELEMENT EXAMPLE: SOLUTE DISPERSION IN UNIFORM FLOW FIELD; Concluding Remarks. Appendix A. Anisotropy and TensorsAppendix B. Variational Method; Appendix C. Isoparametric Quadrilateral Elements; Appendix D. Analogies; Glossary of Symbols; References; Index.
• Publisher Details: San Diego London : Academic Press
• Publication Date: 1995
• Extent: 1 online resource (312 pages)
• Subjects: 551.49/01/5118 551.49015118; Difference equations; Finite element method; Groundwater flow -- Mathematical models; Groundwater; Science; Engineering; Geology; SCIENCE -- Earth Sciences -- Geography; SCIENCE -- Earth Sciences -- Geology; Difference equations; Finite element method; Groundwater flow -- Mathematical models; Electronic books
• Languages: English
• ISBNs: 9780080571942; 0080571948
• Related ISBNs: 9780127345857; 012734585X
• Notes: Note: Includes bibliographical references (pages 288-302) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.