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This work deals with an inverse two-dimensional nonlinear heat conduction problem to determine the top and lateral surface transfer coefficients. For this, the \textsc{B}ayesian framework with the \textsc{M}arkov Chain \textsc{M}onte…

Computational Engineering, Finance, and Science · Computer Science 2022-06-20 Julien Berger , Clemence Legros

The Multiple Mapping Conditioning / Large Eddy Simulation (MMC-LES) approach is used to simulate a supersonic lifted hydrogen jet flame, which features shock-induced autoignition, shock-flame interaction, lifted flame stabilization, and…

Fluid Dynamics · Physics 2021-06-09 Zhiwei Huang , Matthew J. Cleary , Zhuyin Ren , Huangwei Zhang

Predictive flame spread models based on temperature dependent pyrolysis rates require numerous material properties as input parameters. These parameters are typically derived by optimisation and inverse modelling using data from bench scale…

Fluid Dynamics · Physics 2023-10-06 Tássia L. S. Quaresma , Tristan Hehnen , Lukas Arnold

We introduce a method to reconstruct full rapidity distributions of charged particle multiplicity and net proton yields, crucial for constraining the longitudinal dynamics of nuclear matter created in the beam energy scan program. Employing…

High Energy Physics - Phenomenology · Physics 2024-07-09 Lipei Du

Bayesian neural learning feature a rigorous approach to estimation and uncertainty quantification via the posterior distribution of weights that represent knowledge of the neural network. This not only provides point estimates of optimal…

Machine Learning · Computer Science 2018-11-13 Rohitash Chandra , Konark Jain , Ratneel V. Deo , Sally Cripps

Stochastic processes are a flexible and widely used family of models for statistical modeling. While stochastic processes offer attractive properties such as inclusion of uncertainty properties, their inference is typically intractable,…

Methodology · Statistics 2026-02-10 Teemu Härkönen , Simo Särkkä

Influences of reaction zone thickening and local extinctions on the burning rate of extremely turbulent hydrogen-enriched methane-air flames are investigated using simultaneous planar laser-induced fluorescence of formaldehyde molecule and…

Fluid Dynamics · Physics 2020-12-01 Sajjad Mohammadnejad , Qiang An , Patrizio Vena , Sean Yun , Sina Kheirkhah

A massively parallel method to build large transition rate matrices from temperature accelerated molecular dynamics trajectories is presented. Bayesian Markov model analysis is used to estimate the expected residence time in the known state…

Computational Physics · Physics 2018-05-30 Thomas D Swinburne , Danny Perez

In this paper we consider the problem of parameter inference for Markov jump process (MJP) representations of stochastic kinetic models. Since transition probabilities are intractable for most processes of interest yet forward simulation is…

Computation · Statistics 2014-09-16 Andrew Golightly , Darren J. Wilkinson

Construction of kinetic models has become an indispensable step in the development and scale up of processes in the industry. Model-based design of experiments (MBDoE) has been widely used for the purpose of improving parameter precision in…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Panagiotis Petsagkourakis , Federico Galvanin

This study performs parameter inference in a partial differential equations system of pulmonary circulation. We use a fluid dynamics network model that takes selected parameter values and mimics the behaviour of the pulmonary haemodynamics…

Exposure assessment models are deterministic models derived from physical-chemical laws. In real workplace settings, chemical concentration measurements can be noisy and indirectly measured. In addition, inference on important parameters…

Applications · Statistics 2018-07-09 Nada Abdalla , Sudipto Banerjee , Gurumurthy Ramachandran , Susan Arnold

Machine learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale and complexity. Given the interpolative nature of…

The optimisation (tuning) of the free parameters of Monte Carlo event generators by comparing their predictions with data is important since the simulations are used to calculate experimental efficiency and acceptance corrections, or…

High Energy Physics - Phenomenology · Physics 2023-11-07 Salvatore La Cagnina , Kevin Kröninger , Stefan Kluth , Andrii Verbytskyi

Gaining insights into flame behaviour at small scales can lead to improvements in the efficiency of micro-reactors, compact power generation systems, fire safety technologies, and various other applications where combustion is confined to…

Fluid Dynamics · Physics 2026-02-24 M Ashwin Ganesh , Akhil Aravind , Balasundaram Mohan , Saptarshi Basu

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…

Fluid Dynamics · Physics 2024-12-16 Prabakaran Rajamanickam , Joel Daou

The present work investigates the structure of fast supersonic turbulent flames typically observed as precursors to the onset of detonation. These high speed deflagrations are obtained after the interaction of a detonation wave with…

In recent times empirical likelihood has been widely applied under Bayesian framework. Markov chain Monte Carlo (MCMC) methods are frequently employed to sample from the posterior distribution of the parameters of interest. However,…

Methodology · Statistics 2022-09-07 Sanjay Chaudhuri , Teng Yin

Understanding how stochastic gene expression is regulated in biological systems using snapshots of single-cell transcripts requires state-of-the-art methods of computational analysis and statistical inference. A Bayesian approach to…

Quantitative Methods · Quantitative Biology 2018-12-10 Yen Ting Lin , Nicolas E. Buchler