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Combined state and parameter estimation in level-set methods

https://doi.org/10.1016/j.jcp.2019.108950
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Unbiased ensemble square root filters
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Construction of correlation functions in two and three dimensions
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A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow
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Efficient Implementation of Weighted ENO Schemes
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A PDE-Based Fast Local Level Set Method
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Level Set Methods: An Overview and Some Recent Results
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Evolution, Implementation, and Application of Level Set and Fast Marching Methods for Advancing Fronts
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Level Set Methods for Optimization Problems Involving Geometry and Constraints
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Mathematical Methods of Classical Mechanics
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Data Assimilation
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Lineare Algebra
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Efficient implementation of essentially non-oscillatory shock-capturing schemes
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Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
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Orthogonal Polynomials
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Nonlinear thermoacoustics of ducted premixed flames: The influence of perturbation convection speed
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Linear stability and adjoint sensitivity analysis of thermoacoustic networks with premixed flames
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Data assimilation applied to combustion
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Structural optimization using sensitivity analysis and a level-set method
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Level-set, penalization and cartesian meshes: A paradigm for inverse problems and optimal design
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A data assimilation methodology for reconstructing turbulent flows around aircraft
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Reconstruction of unsteady viscous flows using data assimilation schemes
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Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part I. Sensitivity
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Quantifying and reducing model-form uncertainties in Reynolds-averaged Navier–Stokes simulations: A data-driven, physics-informed Bayesian approach
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Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part II. Uncertainty quantification
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A review of level-set methods and some recent applications
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Data-assimilated computational fluid dynamics modeling of convection-diffusion-reaction problems
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A wildland fire model with data assimilation
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Unbiased ensemble square root filters
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Data assimilation using high-speed measurements and LES to examine local extinction events in turbulent flames
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Front shape similarity measure for data-driven simulations of wildland fire spread based on state estimation: Application to the RxCADRE field-scale experiment
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Aleatory or epistemic? Does it matter?
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Stochastic Processes and Filtering Theory
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Turbulent Combustion
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Probability Theory
inferredcites →https://doi.org/10.1017/cbo9780511804441openalex-snapshot
Convex Optimization
inferredcites →https://doi.org/10.1017/cbo9781107706804openalex-snapshot
Probabilistic Forecasting and Bayesian Data Assimilation
inferredcites →https://doi.org/10.1017/cbo9781139344203openalex-snapshot
Bayesian Filtering and Smoothing
inferredcites →https://doi.org/10.1017/jfm.2011.222openalex-snapshot
State estimation in wall-bounded flow systems. Part 3. The ensemble Kalman filter
inferredcites →https://doi.org/10.1017/jfm.2014.549openalex-snapshot
Matrix-free continuation of limit cycles and their bifurcations for a ducted premixed flame
inferredcites →https://doi.org/10.1017/jfm.2014.601openalex-snapshot
Nonlinear self-excited thermoacoustic oscillations of a ducted premixed flame: bifurcations and routes to chaos
inferredcites →https://doi.org/10.1017/jfm.2016.585openalex-snapshot
Weakly nonlinear analysis of thermoacoustic bifurcations in the Rijke tube
inferredcites →https://doi.org/10.1017/s0022112010004453openalex-snapshot
Triggering in the horizontal Rijke tube: non-normality, transient growth and bypass transition
inferredcites →https://doi.org/10.1017/s0022112099005686openalex-snapshot
A kinematic model of a ducted flame
inferredcites →https://doi.org/10.1029/94jc00572openalex-snapshot
Sequential data assimilation with a nonlinear quasi‐geostrophic model using Monte Carlo methods to forecast error statistics
inferredcites →https://doi.org/10.1051/proc/201863258openalex-snapshot
Front Shape Similarity Measure for Shape-Oriented Sensitivity Analysis and Data Assimilation for Eikonal Equation
inferredcites →https://doi.org/10.1073/pnas.93.4.1591openalex-snapshot
A fast marching level set method for monotonically advancing fronts.
inferredcites →https://doi.org/10.1088/1361-6420/aae993openalex-snapshot
Topological data assimilation using Wasserstein distance
inferredcites →https://doi.org/10.1090/coll/023openalex-snapshot
Orthogonal Polynomials
inferredcites →https://doi.org/10.1103/physrevfluids.3.124701openalex-snapshot
Data-assimilated low-order vortex modeling of separated flows
inferredcites →https://doi.org/10.1108/03684920410534506openalex-snapshot
Information Theory, Inference, and Learning Algorithms
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Stochastic processes and filtering theory
inferredcites →https://doi.org/10.1109/tgrs.2017.2726013openalex-snapshot
A Level-Set-Based Image Assimilation Method: Potential Applications for Predicting the Movement of Oil Spills
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A local ensemble Kalman filter for atmospheric data assimilation
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Morphing ensemble Kalman filters
inferredcites →https://doi.org/10.1115/1.3658902openalex-snapshot
New Results in Linear Filtering and Prediction Theory
inferredcites →https://doi.org/10.1115/1.3662552openalex-snapshot
A New Approach to Linear Filtering and Prediction Problems
inferredcites →https://doi.org/10.1115/1.4042821openalex-snapshot
Adjoint Methods as Design Tools in Thermoacoustics
inferredcites →https://doi.org/10.1115/gt2019-92052openalex-snapshot
Data Assimilation and Optimal Calibration in Nonlinear Models of Flame Dynamics
inferredcites →https://doi.org/10.1126/science.153.3731.34openalex-snapshot
Dynamic Programming
inferredcites →https://doi.org/10.1137/050635717openalex-snapshot
A Reduced-Order Kalman Filter for Data Assimilation in Physical Oceanography
inferredcites →https://doi.org/10.1137/1.9781611971231openalex-snapshot
Numerical Solution of Boundary Value Problems for Ordinary Differential Equations
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An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
inferredcites →https://doi.org/10.1137/s0036144598347059openalex-snapshot
Fast Marching Methods
inferredcites →https://doi.org/10.1146/annurev-fluid-122316-045042openalex-snapshot
Nonlinear Nonmodal Stability Theory
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Sensitivity and Nonlinearity of Thermoacoustic Oscillations
inferredcites →https://doi.org/10.1146/annurev.fluid.35.101101.161105openalex-snapshot
L EVEL S ET M ETHODS FOR F LUID I NTERFACES
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Advanced Data Assimilation in Strongly Nonlinear Dynamical Systems
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Analysis Scheme in the Ensemble Kalman Filter
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A Monte Carlo Implementation of the Nonlinear Filtering Problem to Produce Ensemble Assimilations and Forecasts
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Ensemble Data Assimilation without Perturbed Observations
inferredcites →https://doi.org/10.1175/1520-0493(2003)131<1485:esrf>2.0.co;2openalex-snapshot
Ensemble Square Root Filters*
inferredcites →https://doi.org/10.1177/1756827717711405openalex-snapshot
G-equation modelling of thermoacoustic oscillations of partially premixed flames
inferredcites →https://doi.org/10.1256/smsqj.55416openalex-snapshot
Construction of correlation functions in two and three dimensions
inferredcites →https://doi.org/10.17863/cam.35413openalex-snapshot
Physics-informed data-driven prediction of premixed flame dynamics with data assimilation
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Methods for Analysis of Nonlinear Thermoacoustic Systems
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Petroleum Geostatistics
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Dynamics of Laminar Premixed Flames Forced by Harmonic Velocity Disturbances
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A local ensemble Kalman filter for atmospheric data assimilation
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Morphing ensemble Kalman filters
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Stochastic Facies Modelling Using the Level Set Method
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Coupled atmosphere-wildland fire modeling with WRF 3.3 and SFIRE 2011
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Information theory, inference, and learning algorithms
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Gaussian Processes for Machine Learning

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Physics-Informed Data-Driven Prediction of Turbulent Reacting Flows with Lyapunov Analysis and Sequential Data Assimilation
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Data assimilation for combustion ignition delay time simulation using schlieren image velocimetry
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A data-driven kinematic model of a ducted premixed flame
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Stability, sensitivity and optimisation of chaotic acoustic oscillations
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Joint reconstruction and segmentation of noisy velocity images as an inverse Navier–Stokes problem
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Inverse Problems in Magnetic Resonance Velocimetry: Shape, Forcing and Boundary Condition Inference
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Stability, sensitivity and optimisation of chaotic acoustic oscillations
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Online parameter inference for the simulation of a Bunsen flame using heteroscedastic Bayesian neural network ensembles
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