Optimal assimilation of current and surface elevation data in a two-dimensional numerical tidal model
type: Item
instance of: scholarly article
title: Optimal assimilation of current and surface elevation data in a two-dimensional numerical tidal model
zbMATH Open document ID: 0879.76010
DOI: 10.1016/0307-904X(94)00007-S
author: R. W. Lardner
published in: Applied Mathematical Modelling
publication date: 1995-07-20T00:00:00Z
review text: The author studies an inverse problem for a two-dimensional oceanographic model in which kinematic nonlinearities are neglected but nonlinear friction is included. Data from current meters and/or tide gauges are used to calculate the bottom friction coefficient, water depth and wind drag coefficient. The norm of discrepancies between theoretical and measured values at the data stations is minimized. Gradients of that norm are calculated by an adjoint scheme, numerical optimization is carried out by Nash's truncated Newton package. By tests with synthetic data it was found that the method works well for initial guesses within \(20-25\%\) of the true values. Convergence was more likely if both current and surface elevation data were used rather than only one of them.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 772247
zbMATH Keywords: minimum principle
zbMATH Keywords: nonlinear friction
zbMATH Keywords: bottom friction coefficient
zbMATH Keywords: water depth
zbMATH Keywords: wind drag coefficient
zbMATH Keywords: adjoint scheme
zbMATH Keywords: Nash's truncated Newton package
reviewed by: Kurt Frischmuth
describes a project that uses: tn
describes a project that uses: L-BFGS
describes a project that uses: Algorithm 500
MaRDI profile type: Publication
cites work: Optimal control of open boundary conditions for a numerical tidal model
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cites work: Newton-Type Minimization via the Lanczos Method
cites work: A Numerical Study of the Limited Memory BFGS Method and the Truncated-Newton Method for Large Scale Optimization
cites work: A vertical/horizontal splitting algorithm for three-dimensional tidal and storm surge computations
description: scientific article; zbMATH DE number 772247