Variational Methods in Geosciences

✍ Scribed by YOSHI K. SASAKI (Eds.)

• Publisher: Elsevier Science Ltd
• Year: 1986
• Tongue: English
• Leaves: 293
• Series: Developments in Geomathematics 5
• Category: Library

✦ Synopsis

The last few decades have seen a spectacular growth in the use of variational methods, one of the most classic and elegant methods in physical and mathematical sciences, as powerful tools of optimization and numerical analysis. The tremendous accumulation of information on the use of variational methods in the area of the geosciences, which includes meteorology, oceanography, hydrology, geophysics and seismology, indicated the need for the first symposium on Variational Methods in Geosciences to be organized and held in Norman on October 15-17, 1985. The value of this symposium was enhanced by the number of stimulating and informative papers presented

✦ Table of Contents

Content:
Further titles in this series
Page II

Front Matter
Page III

Copyright page
Page IV

Sponsoring Organizations
Page V

Committee Members
Page VI

Preface
Page VII
Yoshi K. Sasaki

The Application of Variational Methods to Initialization on the Sphere
Pages 3-11
R.W. DALEY

Application of Optimal Control to Meteorological Problems
Pages 13-28
O. TALAGRAND

A Review of Variational and Optimization Methods in Meteorology
Pages 29-34
I.M. Navon

Use of Adjoint Equations for Assimilation if Meteorological Observations by Barotropic Models
Pages 35-42
Ph. Courtier, O. Talagrand

The Variational Four-Dimensional Assimilation of Analyses Using Quasigeostrophic Models as Constraints
Pages 43-48
JOH. C. DERBER

Evaluation of a Multivariate Variational Assimilation of Conventional and Satellite Data for the Diagnosis of Cyclone Systems
Pages 49-54
Gary L. Achtemeier, H.T. Ochs III, S.Q. Kidder, R.W. Scott

The Variational Inverse Method for the General Circulation in the Ocean
Pages 55-70
Christine PROVOST

Variational Analysis of Wind Field and Geopotential at 500 Mb
Pages 71-75
F.-X. LE DIMET, J. SEGOT

Design of a Three-Dimensional Global Atmospheric Prediction Model by a Variational Method
Pages 77-80
A. KASAHARA

Variational Implicit Normal Mode Initialization for Nwp Models
Pages 81-85
CLIVE TEMPERTON

Formulation of Normal Modes and Nonlinear Initialization for Limited-Area Models
Pages 87-88
R. JUVANON, DU VACHAT, B. URBAN

Sequential Estimation and Satellite Data Assimilation in Meteorology and Oceanography
Pages 91-100
M. GHIL

The Use of Adjoint Equations to Solve Variational Adjustment Problems Subject to Vorticity Conservation Constraints
Pages 101-106
J.M. LEWIS

Variational Modification of the 3D-Wind Field
Pages 107-112
Michael Hantel

A Four-Dimensional Analysis
Pages 113-117
ROSS N. HOFFMAN

Variational Initialization and Determination of Weighting Factors
Pages 119-123
CHUNG-YI TSENG

Partial Spline Models for the Estimation of the Three Dimensional Atmospheric Temperature Distribution from Satellite Radiance Data and Tropopause Height Information
Pages 125-130
GRACE WAHBA

The Retrieval of Moving Waves from Remotely-Sensed Atmospheric Data
Pages 131-136
Derek M. Cunnold, Chowen Chou Wey

Impact of Doppler Wind Analysis Weights on Three Dimensional Airflow and Diagnosed Precipitation in a Thunderstorm
Pages 137-142
C.L. ZIEGLER

Remarks on Systems with Uncomplete Data
Pages 145-159
J.L. LIONS

Two Dimensional Kalman Filtering and Assimilation of Wind Profiler Data
Pages 161-166
D.F. PARRISH, S.E. COHN

Bayesian Optimal Analysis for Meteorological Data
Pages 167-172
R.J. PURSER

Relationships between Statistical and Deterministic Methods of Data Assimilation
Pages 173-179
W.C. THACKER

Assimilation of Dynamical Data in a Limited Area Model
Pages 181-185
F.-X. LE DIMET, A. NOUAILLER

Variational Principles and Adaptive Methods for Complex Flow Problems
Pages 189-200
J. TINSLEY ODEN, T. STROUBOULIS, PH. DEVLOO

Penalty Variational Formulation of Viscous Incompressible Fluid Flows
Pages 201-221
J.N. REODY

A New Combination Method of Boundary Type Finite Elements and Boundary Elements for Wave Diffraction and Refraction
Pages 223-228
K. KASHIYAMA, M. KAWAHARA, H. SAKURAI

The Numerical Analysis of Two-Dimensional Steady Free Surface Flow Problems
Pages 229-234
Tsukasa NAKAYAMA, Mutsuto KAWAHARA

Variational Principles in Continuum Mechanics and Their Application if the Study of Propagating Discontinuities
Pages 235-241
J. TURSKI

Comparison of Variational Methods for the Solution if the Dynamic Group-Diffusion Problem: One Dimensional Case
Pages 243-248
E. del Valle, J.C. Diaz, D. Meade

Variational Methods for Fluid Flow in Porous Media
Pages 251-263
R.E. EWING

A Finite Element Simulator for Incompressible Two-Phase Flow
Pages 265-277
G. CHAVENT, G. COHEN, J. JAFFRE

Simulation of Waterflooding in Heterogeneous, Compressible, and Irregularly Shaped Reservoirs
Pages 279-284
A.R. Kukreti, M.M. Zaman, F. Civan, Y.R. Perera, G.C. Biswas

Data Structures and Algorithms for Self Adaptive Local Grid Refinement
Pages 285-290
J.C. Diaz, D.B. North

On the Modeling of Soil Liquefaction by Finite Element Method
Pages 291-296
M.M. Zaman, J.G. Laguros

Response of Circular Plates Resting on Homogeneous and Isotropic Halfspace
Pages 297-302
I.U. Mahmood

Evolution of Local Amplitude in Trains if Shear Flow Instability Waves
Pages 303-308
J.M. RUSSELL

Index of Authors
Page 309