Inversion study of vertical eddy viscosity coefficient based on an internal tidal model with the adjoint method
type: Item
instance of: scholarly article
title: Inversion study of vertical eddy viscosity coefficient based on an internal tidal model with the adjoint method
zbMATH Open document ID: 1394.86002
DOI: 10.1155/2015/915793
author: Guangzhen Jin
author: Qiang Liu
author: Xianqing Lv
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Based on an isopycnic-coordinate internal tidal model with the adjoint method, the inversion of spatially varying vertical eddy viscosity coefficient (VEVC) is studied in two groups of numerical experiments. In Group One, the influences of independent point schemes (IPSs) exerting on parameter inversion are discussed. Results demonstrate that the VEVCs can be inverted successfully with IPSs and the model has the best performance with the optimal IPSs. Using the optimal IPSs obtained in Group One, the inversions of VEVCs on two different Gaussian bottom topographies are carried out in Group Two. In addition, performances of two optimization methods of which one is the limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) method and the other is a simplified gradient descent method (GDM-S) are also investigated. Results of the experiments indicate that this adjoint model is capable to invert the VEVC with spatially distribution, no matter which optimization method is taken. The L-BFGS method has a better performance in terms of the convergence rate and the inversion results. In general, the L-BFGS method is a more effective and efficient optimization method than the GDM-S.
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 6927547
Wikidata QID: Q59120260
describes a project that uses: L-BFGS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/915793
OpenAlex ID: W1988250185
cites work: Q3908632
cites work: Q3908633
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description: scientific article; zbMATH DE number 6927547