PBDW: a non-intrusive reduced basis data assimilation method and its application to an urban dispersion modeling framework

DOI10.1016/j.apm.2019.05.012zbMath1481.86001OpenAlexW2945366292WikidataQ127822823 ScholiaQ127822823MaRDI QIDQ1985176

Janelle K. Hammond, Frédéric Bourquin, Rachida Chakir, Yvon Maday

Publication date: 7 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.05.012

zbMATH Keywords

reduced basis methodvariational data assimilationmodel order reductiondispersion modelingparameterized partial differential equations

Mathematics Subject Classification ID

General questions in geophysics (86A04) PDEs in connection with geophysics (35Q86) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (7)

Weakly-invasive Latin-PGD for solving time-dependent non-linear parametrized problems in solid mechanics ⋮ A real-time variational data assimilation method with data-driven model enrichment for time-dependent problems ⋮ A component-based data assimilation strategy with applications to vascular flows ⋮ A physics-based reduced order model for urban air pollution prediction ⋮ A Time-Dependent Parametrized Background Data-Weak Approach ⋮ Reducing sensors for transient heat transfer problems by means of variational data assimilation ⋮ Nonlinear approximation spaces for inverse problems

Uses Software

• FreeFem++
• Code_Saturne
• DiceKriging
• DiceOptim

Cites Work

• Unnamed Item
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• Reduced basis method and error estimation for parametrized optimal control problems with control constraints
• Fast three-dimensional temperature reconstruction
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Adjoint sensitivity analysis of regional air quality models
• The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation
• Reduced basis approximation and a posteriori error bounds for 4D-Var data assimilation
• Recent advances on the numerical modelling of turbulent flows
• A Bayesian tutorial for data assimilation
• A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• Kolmogorov widths under holomorphic mappings
• A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation
• Reduced Basis Method for Parametrized Elliptic Optimal Control Problems
• A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics
• Certified Reduced Basis Methods for Parametrized Distributed Elliptic Optimal Control Problems with Control Constraints
• Convergence Rates for Greedy Algorithms in Reduced Basis Methods
• New development in freefem++

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