Discrete ordinate method with a new and a simple quadrature scheme

Comparison of the thermal effects of the transport of a short-pulse laser and a multi-pulse laser through a participating medium

“…(16), D m z = cos h and DX m = 1.0. It is to be noted that the DOM formulation given in [31] can use the same angular quadrature scheme as that of the FVM, and in the present work, in both the methods, the angular distribution of intensities and quadrature schemes for evaluating incident radiation and radiative heat flux are the same in both the methods.…”

“…In the DOM approach proposed by Mishra et al [31], unlike the FVM, the RTE (15) is not integrated over the elemental solid angle DX m , and thus for the DOM, formulation, in Eq. (16), D m z = cos h and DX m = 1.0.…”

A New Hybrid Algorithm Using Thermodynamic and Backward Ray-Tracing Approaches for Modeling Luminescent Solar Concentrators

“…In this hybrid simulation approach, the two-flux thermodynamic model as developed by the authors in [15] was modified and used in conjunction with an open source ray-tracing program, namely Radiance [16]. The input parameters required by the modified two-flux thermodynamic model are LSC dimensions, reflective index, luminescent dye concentration, absorption cross-section, luminescent quantum efficiency and temperature.…”

“…The irradiance values calculated for the specified locations on the sampling plane are then averaged over the total surface area to give the average irradiance output E average . The discrete ordinate method used by Mishra et al [15] is employed in the algorithm to determine the integration of radiance intensity with respect to solid angle over a hemisphere. The calculation details are shown in Appendix A.…”

Performance evaluation of four radiative transfer methods in solving multi-dimensional radiation and/or conduction heat transfer problems

“…With the development of more versatile methods, some of the old methods such as the zonal method [13], the diffusion approximation [13] and the spherical harmonics method [13] are now-a-days receiving less attention. Among the available methods, the Monte Carlo method (MCM) [14,15], the discrete transfer method (DTM) [16][17][18][19], the discrete ordinates method (DOM) [20][21][22][23][24] and the finite volume method (FVM) [25][26][27][28][29] enjoy more popularity. Among them, the FVM is the latest in the series and this method is considered to be a forerunner of the DOM which has been and is still widely used by a large group of researchers [13].…”