The Boundary Element Method for Groundwater Flow

✍ Scribed by Dr. Erwin Karl Bruch (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1991
• Tongue: English
• Leaves: 124
• Series: Lecture Notes in Engineering 70
• Edition: 1
• Category: Library

✦ Synopsis

In this book the application of the boundary element method to the solution of the Laplace equation is examined. This equation is of fundamental importance in engineering and science as it describes different types of phenomena, inclu- ding the groundwater flow applications highlighted in this book. Special subjects such as numerical integration, subdi- visionof the domain into regions and other computational aspects are discussed in detail in the first chapters. To demonstrate the accuracy and efficiency of the boundary ele- ment method, results obtained when solving the Laplace equa- tion have been compared against known analytical solutions. Other chapters deal with problems such as steady and unstea- dy flow in addition to infiltration problems. The applica- tions demonstrate that the boundary element method provides a powerful solution technique which can be effectively ap- plied to solve this type of problem.

✦ Table of Contents

Front Matter....Pages I-3
Porous Media Flows....Pages 4-12
The Laplace Equation....Pages 13-16
Introduction to the Boundary Element Method....Pages 17-27
Numerical Integration....Pages 28-45
Numerical Aspects of the Boundary Element Method....Pages 46-51
Division of the Domain into Sub-Regions....Pages 52-70
Steady State Flow Through Porous Media....Pages 71-84
Unsteady Flow Through Porous Media....Pages 85-105
Infiltration Problems....Pages 106-113
Conclusions....Pages 114-115
References....Pages 116-119
Back Matter....Pages 120-122

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering; Geoengineering, Foundations, Hydraulics; Numerical Analysis