A modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material coupling

Including the effects of temperature-dependent opacities in the implicit Monte Carlo algorithm

“…This estimate is substituted into the thermal source term in the transport equation. This substitution has the effect of reducing the absorption opacity in the transport equation by a factor of f = 1 1 + βc∆tσ P (10) and adding an equal amount of thermally redistributed isotropic scattering. Here β ≡ 4aT 3 /ρc v .…”

“…It shares this characteristic with the method described by McClarren and Urbatsch [10]. In this work, the authors solve linearized versions of Eqs.…”

“…In this case, zone temperatures change at an unphysically slow rate. In this case, m ∞ is replaced by an expansion of the exponential, with the order of the expansion determined by a function of T and T r (see [10] for details).…”

“…The methods described in [9], [10], and [11] all use linearized versions of the transport and matter energy equations that use the approximation Eq. (32) to approximate the thermal source term.…”

“…(15) and (16). This would introduce terms containing σ P dT n , resulting in a combination of the Modified IMC method and the methods of [9], [10], and [11]. Combining the different methods is beyond the scope of this paper.…”