A New Discrete Implicit Monte Carlo Scheme for Simulating Radiative Transfer Problems

We present a new algorithm for radiative transfer-based on statistical Monte Carlo approach-that does not suffer from teleportation effects, the one hand, and yields smooth results, other hand. Implicit (IMC) techniques modeling transfer have existed 1970s. When they are used optically thick problems, however, basic suffers "teleportation" errors, where photons propagate faster than exact physical behavior, due to absorption-blackbody emission processes. One possible solution is use semianalog Carlo, in its implicit form (ISMC), which uses two kinds of particles, discrete material particles. This excellent teleportation-free but it also produces noisier solutions (relative classic IMC), nature. Here, we derive algorithm, Discrete (DIMC), idea thus errors. DIMC implements IMC discretization creates radiation each time step, unlike ISMC. Using continuous absorption technique, results like IMC. main elements avoidance explosion particle population, by using merging. test 1D 2D cylindrical show that smooth, results. finish demonstrating power hydrodynamic problem-an opaque shock wave. demonstrates astrophysical scenarios.