Application of the modified discrete ordinates method with the concept of blocked-off region to irregular geometries

A Parametric Study of Optimal Number and Location of Radiant Heaters in Enclosures with Participating Media

“…Aiming at reducing ray e ects, the Modi ed Discrete Ordinates Method (MDOM) was developed by Ramankutty and Crosbie [20,21]. Amiri et al [22,23] used a modi ed discrete ordinates method to solve radiation [22], and combined conduction-radiation [23] heat transfer problems in 2D irregular geometries. Kim and Kim [24] proposed a hybrid spatial di erencing scheme for the discrete ordinates method which reduces false scattering.…”

Chebyshev collocation spectral method for solving radiative transfer with the modified discrete ordinates formulations

“…As depicted in Fig. 8, it consists of a square enclosure with one centered obstruction and the configuration has been investigated several times in recent years [34,[40][41][42][43][44]. In present work, the domain decomposition concept with the influence matrix technique is implemented with the SP-MDOM to deal with this partitioned domain.…”

“…The ray effect is eliminated effectively in results. Recently, other researchers [26,[32][33][34][35] have performed the related researches. Up to now, no one has discussed the ray effect in the SP-DOM and not to mention the remedy.…”

Calculations of gas radiation heat transfer in a two-dimensional rectangular enclosure using the line-by-line approach and the statistical narrow-band correlated-k model

“…3. The ray tracing results suffer some minor but clearly noticeable unphysical oscillations in the source term distributions, which can be attributed to the ray effect [32,33]. The ray effect has the most significant impact on the results in the ray tracing technique due to the absence of numerical error associated with the spatial discretisation or the false scattering [32,33].…”