Open boundary control problem for Navier-Stokes equations including a free surface: data assimilation

DOI10.1016/j.camwa.2006.11.005zbMath1118.49017OpenAlexW1966871640WikidataQ113878672 ScholiaQ113878672MaRDI QIDQ995485

G. J. M. Copeland, Igor Yu. Gejadze, I. Michael Navon

Publication date: 3 September 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.11.005

zbMATH Keywords

wavesoptimal controlNavier-Stokes equationsfree surfacedata assimilationadjoint equationsopen boundaryocean

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Applications of optimal control and differential games (49N90)

Related Items (6)

The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with `liquid' boundaries ⋮ Optimal control of eutrophication processes in a moving domain ⋮ A method for inversion of periodic open boundary conditions in two-dimensional tidal models ⋮ Estimation of spatially varying open boundary conditions for a numerical internal tidal model with adjoint method ⋮ Adjoint-based optimization of PDEs in moving domains ⋮ On a 2D `zoom' for the 1D shallow water model: coupling and data assimilation

Uses Software

• Regularization tools
• L-BFGS
• UTV
• SOLA

Cites Work

• On the limited memory BFGS method for large scale optimization
• Open boundary control problem for Navier-Stokes equations including a free surface: adjoint sensitivity analysis
• Semi-implicit numerical modeling of nonhydrostatic free-surface flows for environmental problems
• On viscous shallow water equations (Saint-Venant model) and the quasi-geostrophic limit
• Optimal control of cylinder wakes via suction and blowing
• Existence and Characterization of an Optimal Control for the Problem of Long Waves in a Shallow-Water Model
• Existence of optimal controls for viscous flow problems
• Rank-Deficient and Discrete Ill-Posed Problems
• Line search algorithms with guaranteed sufficient decrease
• A Control Method for Assimilation of Surface Data in a Linearized Navier--Stokes-Type Problem Related to Oceanography
• Boundary Value Problems and Optimal Boundary Control for the Navier--Stokes System: the Two-Dimensional Case
• Some questions in the optimal control of distributed systems
• The analysis of an ill-posed problem using multi-scale resolution and second-order adjoint techniques
• Heterogeneous coupling by virtual control methods
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