Quantitative evaluation of the computational accuracy for the Monte Carlo calculation of radiative heat transfer

Performance study of two energy beam tracking methods in numerical calculation of radiative heat transfer by Monte Carlo method

“…The number of discrete elements in each direction of x, y, and z is 10, namely, the mesh density level (MDL), are Nx=Ny=Nz=10. The concept of mean optical thickness per element (MOTE) has been proposed in [10] to examine the effect of the optical thickness of a single element on computational accuracy, MOTE is defined as τg = κ × (L / Nx ) = κ × (1 / Nx ),where κ is the absorption coefficient of the medium within the 0.0001-100 m − 1 range. The normalized relative root-mean-square (RRMS) error of the mean of the calculated results can be used as an indicator to evaluate the computational accuracy of the calculation method [11] .…”

“…MCM is essentially a statistical method, and the calculation results inevitably have errors. The larger the number of samples, the smaller the errors, but at the same time, the longer the calculation time, so the balance between the accuracy of the results of the calculation of radiation heat transfer by MCM and its calculation efficiency is of great research value [4][5][6][7][8][9][10][11] .…”

Effects of radiation characteristics on the calculation accuracy of Monte Carlo method in three-dimensional cylindrical radiation heat transfer problem

“…The concept of unidirectional mean optical thickness per element (MOTE) [15] , is proposed as the key parameter to evaluate the error in the calculation accuracy of the radiative heat transfer problem of the cubic shape. In the cylindrical coordinate system, the element discretization method is shown in Figure 1(a).…”

A review of linear Fresnel primary optical design methodologies

“…MCRT programs are stochastic in nature, generating a specified number of rays randomly or pseudo-randomly from a source (Fan et al, 2018). Increasing the number of rays therefore increases both the accuracy and computational time of the simulation (Wang and Zhou, 2019). In early research efforts, the number of rays was largely dictated by the computing capacity available, however, with advances in both computing and MCRT software, the maximum allowable number of rays has increased exponentially.…”