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The estimation of model parameters with uncertainties from observed data is a ubiquitous inverse problem in science and engineering. In this paper, we suggest an inexpensive and easy to implement parameter estimation technique that uses a…

机器学习 · 计算机科学 2020-11-06 Ushnish Sengupta , Maximilian L. Croci , Matthew P. Juniper

This paper proposes a Bayesian data-driven machine learning method for the online inference of the parameters of a G-equation model of a ducted, premixed flame. Heteroscedastic Bayesian neural network ensembles are trained on a library of…

机器学习 · 计算机科学 2021-04-28 Maximilian L. Croci , Ushnish Sengupta , Matthew P. Juniper

First-principles Markov Chain Monte Carlo sampling is used to investigate uncertainty quantification and uncertainty propagation in parameters describing hydrogen kinetics. Specifically, we sample the posterior distribution of thirty-one…

数值分析 · 数学 2018-03-12 John Bell , Marcus Day , Jonathan Goodman , Ray Grout , Matthias Morzfeld

The impulse response of a flame to acoustic velocity perturbations is a key quantity for predicting thermoacoustic stability, but its identification from sparse, noisy observations requires solving an ill-posed inverse convolution problem.…

流体动力学 · 物理学 2026-03-02 Matthew Yoko , Wolfgang Polifke

This paper demonstrates the ability of neural networks to reliably learn the nonlinear flame response of a laminar premixed flame, while carrying out only one unsteady CFD simulation. The system is excited with a broadband, low-pass…

流体动力学 · 物理学 2022-04-12 Nilam Tathawadekar , Nguyen Anh Khoa Doan , Camilo F. Silva , Nils Thuerey

Bayesian inference provides a principled way of estimating the parameters of a stochastic process that is observed discretely in time. The overdamped Brownian motion of a particle confined in an optical trap is generally modelled by the…

数据分析、统计与概率 · 物理学 2017-02-01 Sudipta Bera , Shuvojit Paul , Rajesh Singh , Dipanjan Ghosh , Avijit Kundu , Ayan Banerjee , R. Adhikari

In this work we develop a Bayesian setting to infer unknown parameters in initial-boundary value problems related to linear parabolic partial differential equations. We realistically assume that the boundary data are noisy, for a given…

统计方法学 · 统计学 2017-09-13 Fabrizio Ruggeri , Zaid Sawlan , Marco Scavino , Raul Tempone

A method for sequential inference of the fixed parameters of a dynamic latent Gaussian models is proposed and evaluated that is based on the iterated Laplace approximation. The method provides a useful trade-off between computational…

统计方法学 · 统计学 2015-09-29 Tiep Mai , Simon Wilson

We propose a predictive model of the turbulent burning velocity over a wide range of conditions. The model consists of sub models of the stretch factor and the turbulent flame area. The stretch factor characterizes the flame response of…

流体动力学 · 物理学 2024-07-25 Zhen Lu , Yue Yang

This work presents a numerical study of a diffusion flame in a reacting, two-dimensional, turbulent, viscous, multi-component, compressible mixing layer subject to a large favorable streamwise pressure gradient. The boundary-layer equations…

流体动力学 · 物理学 2026-04-01 Sylvain L. Walsh , Lei Zhan , Carsten Mehring , Feng Liu , William A. Sirignano

This work presents an experimental set of Bunsen flames characterized by a moderate Reynolds number and a variable turbulence intensity. Ten lean hydrogen-enriched methane-air mixtures at three levels of turbulence are investigated, ranging…

流体动力学 · 物理学 2023-12-01 Guido Troiani , Pasquale Eduardo Lapenna , Francesco D'Alessio , Francesco Creta

A generic algorithm for the extraction of probabilistic (Bayesian) information about model parameters from data is presented. The algorithm propagates an ensemble of particles in the product space of model parameters and outputs. Each…

统计计算 · 统计学 2015-09-18 Carlo Albert

Laminar premixed flame profiles of methane/air free flames and strained flames at different fuel/air ratios and strain rates are analysed using detailed chemistry with Lewis numbers equal to one. It is shown that the detailed chemistry…

流体动力学 · 物理学 2021-12-21 Michael Pfitzner , Paola Breda

This paper investigates the theoretical implications of applying Darcy's law to premixed flames, a topic of growing interest in research on flame propagation in porous media and confined geometries. A multiple-scale analysis is carried out…

流体动力学 · 物理学 2024-12-16 Prabakaran Rajamanickam , Joel Daou

A new premixed turbulent combustion model is proposed. It is based on one-dimensional (1D) filtering of density times progress variable and of the reaction source term of laminar premixed flame profiles using a filter kernel which reflects…

流体动力学 · 物理学 2021-12-21 Michael Pfitzner , Junsu Shin , Markus Klein

We develop a novel data-driven approach to the inverse problem of classical statistical mechanics: given experimental data on the collective motion of a classical many-body system, how does one characterise the free energy landscape of that…

统计力学 · 物理学 2022-03-01 Peter Yatsyshin , Serafim Kalliadasis , Andrew B. Duncan

Fuel-flexible, low-carbon combustion systems need to accommodate methane/hydrogen mixtures with air and exhaust-gas dilution. To develop these, we require accurate and efficient correlations for laminar flame speed (LFS). In this work, we…

Flame propagation through a non-volatile solid-fuel suspension is studied using a simplified, time-dependent numerical model that considers the influence of both diffusional and kinetic rates on the particle combustion process. It is…

流体动力学 · 物理学 2016-09-02 Michael J. Soo , Keishi Kumashiro , Samuel Goroshin , David L. Frost , Jeffrey M. Bergthorson

Large eddy simulation of propane/air jet flame in the wrinkled flamelets regime of the Borghi diagram is used to assess the performance of a recently developed consumption speed correction model in premixed combustion. The combustion is…

流体动力学 · 物理学 2021-12-03 Ivan Langella , Nguyen Anh Khoa Doan

This paper presents an experimental methodology to measure the height of the flame using convolution image processing and statistical analysis. The experimental setup employs a burner with four circularly arranged nozzles. Six different…

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