... 2012 finite volume methods flow simulation heat transfer lattice Boltzmann methods molecular dynamics method Monte Carlo methods numerical approach multiscale simulation reconstruction operator FVM LBM DSMC MDS Multiscale simulation is a rapidly evolving area of research...

... validity criterion of the radiative Fourier’s law has recently been defined. Some paths for future research are finally given. flow through porous media heat radiation Monte Carlo methods radiative transfer statistical analysis porous medium radiative distribution functions radiative...

... , J. , Gicquel , O. , Veynante , D. and Taine , J. , 2009 , “ Monte Carlo Method of Radiative Heat Transfer Applied to a Turbulent Flame Modeling With LES ,” C. R. Mec. , 337 , pp. 539 – 549 . 10.1016/j.crme.2009.06.024 82 Paul , S. C. , and Paul , M. C. , 2010...

... distribution heat conduction inference mechanisms inverse problems inverse transforms Markov processes Monte Carlo methods physics computing specific heat thermal conductivity heat conduction integral transforms inverse problem Bayesian inference Monte Carlo Markov chain (MCMC...

... is validated by comparing with that of reverse Monte Carlo method. The large number of discrete ordinate directions used in the new method becomes computationally prohibitive in the conventional discrete ordinates method due to the increased computer memory and computation time requirements. Conditions...

..., biological and medical technologies, power engineering, etc. In order to predict the radiative transfer in these engineering applications, many numerical methods have been developed such as the discrete ordinate method (DOM), the finite volume method (FVM) and the Monte Carlo method (MCM). However, because...

...) combustion flow simulation molecular dynamics method Monte Carlo methods soot combustion laser-induced incandescence soot free-molecular conduction gas-surface scattering A growing understanding of how particle morphology influences the impact of soot on human health ( 1...

... considerable longer, although the setup time to describe a new geometry is very short and essentially independent of system complexity. 31 05 2009 26 11 2009 28 04 2010 28 04 2010 furnaces heat radiation integration Monte Carlo methods radiative transfer ray tracing...

... are applied to calculate porosities, specific surfaces, particle-size distributions, and representative elementary volumes. The collision-based Monte Carlo method is applied to determine the probability distribution of attenuation path length and direction of incidence at the solid-fluid boundary, which...

...Arpit Mittal; Sandip Mazumder The Monte Carlo method has found prolific use in the solution of the Boltzmann transport equation for phonons for the prediction of nonequilibrium heat conduction in crystalline thin films. This paper contributes to the state-of-the-art by performing a systematic study...

... with reasonable computational expense by using direct Monte Carlo simulations. 02 02 2009 01 10 2009 08 03 2010 08 03 2010 boundary-value problems convection heat conduction Monte Carlo methods slabs stochastic processes surface roughness surface roughness correlated...

... simulation heat transfer mass transfer microchannel flow Monte Carlo methods direct simulation Monte Carlo heat flux mass flowrate microfluidics pressure boundary conditions Micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS) have received great interest...

.... , 1983 , “ Radiative Heat Transfer Through a Randomly Packed Bed of Spheres by the Monte Carlo Method ,” ASME J. Heat Transfer 0022-1481 , 105 , pp. 325 – 332 . 03 12 2008 15 06 2009 09 12 2009 09 12 2009 flow simulation heat transfer Monte Carlo methods radiative...

.... Heat Transfer 0022-1481 , 128 ( 10 ), pp. 1041 – 1049 . 10.1115/1.2345431 Ozawa , T. , Wang , A. , Modest , M. , and Levin , D. A. , 2008 , “ Development of a Coupled DSMC-Particle Photon Monte Carlo Method for Simulating Atomic Radiation in Hypersonic Reentry Flows...

... the reference state Tref1500hot is closer to the original k than the k from Tref1000cold. 31 10 2008 22 04 2009 03 12 2009 03 12 2009 heat transfer Monte Carlo methods radiative transfer ray tracing Monte-Carlo ray-tracing radiative heat transfer full...

... and chemical reactants ( 2 ). radiation radiometry radiative spectroscopy Monte Carlo zinc oxide packed-bed heat radiation Monte Carlo methods zinc compounds 02 06 2008 20 05 2009 23 10 2009 Packed-beds containing chemically reacting particles subjected to high...

... flow flow simulation microchannel flow Monte Carlo methods nanofluidics Navier-Stokes equations subsonic flow DSMC nanochannel microchannel subsonic flow choked flow heat flux boundary condition Micro- and nanochannels are widely encountered in microelectromechanical systems...

... porosity, specific surface, pore and particle size distributions, and the representative elementary volume for continuum domain. The collision-based Monte Carlo method is applied to calculate the probability distribution functions for attenuation path length and direction of incidence at the fluid-solid...

... and fluid dynamics is required. The Monte Carlo method (MCM) usually considered as a reference “exact” method for the computation of radiative transfer is however very demanding in CPU-time. An alternative is the discrete ordinates method (DOM), based on a finite volume approach, that is more suitable...

... . Nanbu , K. , 1986 , “ Theoretical Basis of the Direct Simulation Monte Carlo Method ,” Proceedings of the 15th International Symposium on RGD , Vol. 1 , V. Boffi and C. Cercignani , eds., pp. 369 – 383 . Wachman , H. Y. , 1993 , “ Thermal Accommodation Coefficient...