... 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. 16 07 2010 31 05 2011 13 01 2012 13 01 2012 flow through porous media heat radiation Monte Carlo methods radiative transfer statistical analysis...

... , 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...

... in the solution of the inverse problem. The most commonly used Monte Carlo method with Markov chain algorithms are the Metropolis-Hastings, here employed, and the Gibbs sampler [( 24 25 )]. The Markov chain according to the generic label of Metropolis-Hastings, comes from the articles of Metropolis et al...

... 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. 26 11 2009...

.... 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 of many advantages including convenience, effectiveness...

...-dimensional images of soot particles in scanning electron microscope (SEM) and transmission electron microscope (TEM) images. 02 07 2009 15 03 2010 28 06 2010 28 06 2010 aerosols aggregates (materials) combustion flow simulation molecular dynamics method Monte Carlo methods...

... 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...

.../2.1617 Piekos , E. S. , and Breuer , K. S. , 1996 , “ Numerical Modeling of Micromechanical Devices Using the Direct Simulation Monte Carlo Method ,” ASME J. Fluids Eng. 0098-2202 , 118 , pp. 464 – 469 . 10.1115/1.2817781 Nance , R. P. , Hash , D. B. , and Hassan...

.... , 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 . a particle radius, m c interparticle distance, m C 1 , C 2 constants in Eq. 5...

... 2008 24 04 2009 09 12 2009 09 12 2009 absorption coefficients aerodynamics flow simulation hypersonic flow molecular electronic states Monte Carlo methods nitrogen nitrogen compounds nonequilibrium flow oxygen radiative transfer random processes vibrational states...

... Fields ,” J. Quant. Spectrosc. Radiat. Transf. 0022-4073 , 104 , pp. 288 – 296 . 10.1016/j.jqsrt.2006.07.023 Howell , J. R. , 1998 , “ The Monte Carlo Method in Radiative Heat Transfer ,” ASME J. Heat Transfer 0022-1481 , 120 , pp. 547 – 560 . 10.1115/1.2824310 Modest , M...

... scattering phase function Ω solid angle, sr ω scattering albedo Subscripts abs absorption ext extinction HG Henyey–Greenstein i incident MC Monte Carlo method sca scattering VM volume median λ spectral...

... 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...

... the heat flux predictions for a dense gas using MD and MC with Maxwell-like boundary conditions. 25 09 2007 15 09 2008 21 01 2009 aerodynamics heat transfer microchannel flow molecular dynamics method Monte Carlo methods molecular dynamics Monte Carlo simulations heat...