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Calibration of the uncertain Arrhenius diffusion parameters for quantifying mixing rates in Zr-Al nanolaminate foils was performed in a Bayesian setting [Vohra et al., 2014]. The parameters were inferred in a low temperature regime…

Data Analysis, Statistics and Probability · Physics 2024-03-28 Manav Vohra , Xun Huan , Timothy P. Weihs , Omar M. Knio

We analyse the performance of a recursive Monte Carlo method for the Bayesian estimation of the static parameters of a discrete--time state--space Markov model. The algorithm employs two layers of particle filters to approximate the…

Computation · Statistics 2016-03-31 Dan Crisan , Joaquin Miguez

Understanding the mechanisms of explosions is important for minimizing devastating hazards. Due to the complexity of real chemistry, a single-step reaction mechanism is usually used for theoretical and numerical studies. The purpose of this…

Chemical Physics · Physics 2019-07-24 Mikhail Liberman , Cheng Wang , Chengeng Qian , JianNan Liu

This study investigates the effect of increasing strain rate on thermodiffusively unstable, lean premixed hydrogen flames in a 2D counterflow configuration through detailed-chemistry numerical simulations for the first time. The analysis of…

The prediction of thermo-mechanical behaviour of heterogeneous materials such as heat and moisture transport is strongly influenced by the uncertainty in parameters. Such materials occur e.g. in historic buildings, and the durability…

Computational Engineering, Finance, and Science · Computer Science 2013-03-19 A. Kucerova , J. Sykora , B. Rosic , H. G. Matthies

Hydrocarbon pyrolysis is a complex chemical reaction system at extreme temperature and pressure conditions involving large numbers of chemical reactions and chemical species. Only two kinds of atoms are involved: carbons and hydrogens. Its…

Chemical Physics · Physics 2026-02-10 Perrin E. Ruth , Vincent Dufour-Decieux , Christopher Moakler , Maria Cameron

This paper presents simulations of stoichiometric methane/air premixed flames into a microchannel at atmospheric pressure. These simulations result from numerical resolutions of reduced-order models. Indeed, combustion control into…

Fluid Dynamics · Physics 2015-01-13 Federico Bianco , Sergio Chibbaro , Guillaume Legros

Kernel-based multivariate statistical process control (K-MSPC) extends classical monitoring to nonlinear industrial processes. Its performance depends critically on kernel parameters such as lengthscales and variance terms. In current…

Background: Analyses of elastic scattering with the optical model (OMP) are widely used in nuclear reactions. Purpose: Previous work compared a traditional frequentist approach and a Bayesian approach to quantify uncertainties in the OMP.…

Nuclear Theory · Physics 2024-03-04 C. D. Pruitt , A. E. Lovell , C. Hebborn , F. M. Nunes

Because of new telescopes that will dramatically improve our knowledge of the interstellar medium, chemical models will have to be used to simulate the chemistry of many regions with diverse properties. To make these models more robust, it…

Astrophysics of Galaxies · Physics 2011-03-16 V. Wakelam , E. Herbst , J. Le Bourlot , F. Hersant , F. Selsis , S. Guilloteau

This paper addresses the Bayesian calibration of dynamic models with parametric and structural uncertainties, in particular where the uncertain parameters are unknown/poorly known spatio-temporally varying subsystem models. Independent…

Computation · Statistics 2012-11-02 Piyush Tagade , Han-Lim Choi

A stochastic diffusion process, whose mean function is a hyperbolastic curve of type I, is presented. Themain characteristics of the process are studied and the problem of maximum likelihood estimation forthe parameters of the process is…

Methodology · Statistics 2024-02-07 Antonio Barrera , Patricia Román-Román , Francisco Torres-Ruiz

Simulations often involve the use of model parameters which are unknown or uncertain. For this reason, simulation experiments are often repeated for multiple combinations of parameter values, often iterating through parameter values lying…

Computation · Statistics 2012-05-22 Jessica W. Leigh , David Bryant

We present a study of numerical behavior of a thickened flame used in Flame Capturing (FC, Khokhlov (1995)) for tracking thin unresolved physical flames in deflagration simulations. We develop a steady-state procedure for calibrating the…

High Energy Astrophysical Phenomena · Physics 2009-06-03 Andrey V. Zhiglo

Reported in the paper are results of unsteady three-dimensional direct numerical simulations of laminar and turbulent, lean hydrogen-air, complex-chemistry flames propagating in forced turbulence in a box. To explore the eventual influence…

Fluid Dynamics · Physics 2023-02-24 HsuChew Lee , BuChen Wu , Peng Dai , Minping Wan , Andrei Lipatnikov

Constraining parameters such as the initial mass function high-mass slope and the frequency of type Ia supernovae is of critical importance in the ongoing quest to understand galactic physics and create realistic hydrodynamical simulations.…

Astrophysics of Galaxies · Physics 2020-01-08 Oliver Henry Edward Philcox , Jan Rybizki

Although uncertainty quantification has been making its way into nuclear theory, these methods have yet to be explored in the context of reaction theory. For example, it is well known that different parameterizations of the optical…

Nuclear Theory · Physics 2017-03-01 A. E. Lovell , F. M. Nunes , J. Sarich , S. M. Wild

Estimating the heat loads on re-entry vehicles is a crucial part of preparing for atmospheric re-entry manoeuvres. Re-entry flows at high altitudes are in the rarefied regime and are governed by high enthalpies and thermodynamic…

Computational Physics · Physics 2020-07-14 Wladimir Reschke , Marcel Pfeiffer , Stefanos Fasoulas

Premixed flames are susceptible to hydrodynamic and thermodiffusive instabilities that wrinkle the flame front and lead to complex multiscale patterns. They strongly impact the flame propagation and dynamics, increasing the speed of a…

Pulverized iron flames stabilized in a multidimensional hot counterflow burner are simulated using a numerical model, which is extended from the state-of-the-art model developed by Hazenberg and van Oijen (PCI, 2021) considering unsteady…

Fluid Dynamics · Physics 2022-12-21 Xu Wen , Arne Scholtissek , Jeroen van Oijen , Jeffery Bergthorson , Christian Hasse