An Implicit Wave Equation Model for the Shallow Water Equations
In this paper an implicit numerical solution procedure for the shallow water equations is presented. It achieves efficiency through replacement of decompositions of a time-varying matrix by back substitutions for the solution of the equation system.
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Springer-Verlag Berlin Heidelberg GmbH
J.P. LAIBLE C.A. BREBBIA W.GRAY G. PINDER Computational Mechanics Centre Ashurst Lodge, Ashurst, Southampton, Hampshire S04 2AA U.K.
British Library Cataloguing in Publication Data Finite elements in water resources. 1. Water resources development Mathematics 2. Finite element method 1. Laible, J.P. 628.l'61'01515353 TC409 ISBN 978-3-662-11746-0 ISBN 978-3-662-11744-6 (eBook) DOI 10.1007/978-3-662-11744-6
This work is subject to copyright. AII rights are reserved, whether the whole or part ofthe material is concerned, specifically those of translation, reprinting, re-use of iIlustrations, broadcasting~ reproduction by photocopying machine or similar means, and storage in data banks. Under §54 of the German Copyright Law where copies are made for other than private use, a fee is payable to 'Verwertungsgesellschaft Wort', Munich. © Springer-Verlag Berlin Heidelberg 1984 Originally published by Computational Mechanics Centre, Southampton 1984 Softcover reprint of the hardcover 1st edition 1984
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CONTENTS Preface MATHEMATICS AND NUMERICAL TECHNIQUES Adjoint Sensitivity Theory for the Finite Element Method
3
J.F. Sykes, University of Waterloo, Canada and J.L. Wilson, New Mexico Institute of ~ning and Technology Why Upwinding is Reasonable
13
A Coupled Finite Element Model of Flow in Porous Layered Media
25
Hybrid Methods from a New Perspective
37
M.B. Allen, University of Wyoming, U.S.A. G. Gambolati and A.M. Perdon, Istituto di Matematica, Italy and G. Ricceri, University of Padua, Italy
I. Herrera, National University of Mexico,
~rioo
Numerical Experiments Using 'Adaptive' Finite Elements with Collocation
45
Dynamic Velocity Profiles on Simple Elements Model Design and Testing
63
M.F.N. Mohsen, University of Petroleum & Minerals, Saudi Arabia D.R. Lynch and J-L. Hazard, Dartmouth College, U.S.A. GROUNDWATER FLOW AND SEEPAGE Finite Elements in Analysis of Effect of Stochastic Variability in Aquifer Conductivity on Hydraulic Head
79
Logarithmic Interpolation for Groundwater Flow Near Wells
89
T.S. Virdee and N.T. Kottegoda, University of Birmingham, England
X. Yuqun and X. Chunhong, Nanjing University, China
A Mass-Conservative Procedure for TimeStepping in Models of Unsaturated Flow
103
Saturated-Unsaturated Transient Finite Element Seepage Model for Geotechnical Engineering
113
Numerical Modelling of Groundwater Flow in a Large Agricultural Area
123
Groundwater Dynamics Investigation of Enjebi Island, Enewetak Atoll: An Interpretive Computer Model Simulation
133
The Impact of Phase Exchange Transfers and Unsteady Hydraulic Conditions on Saltwater Intrusion Fronts
143
Finite Element Simulation of Kenematic Surface Runoff
153
A Finite Element-Finite Difference Alternating Direction Algorithm for Three Dimension
