AIChE Journal · 2000 · 186 citations · 18 references
EngineeringChemical EngineeringChemistryComputational Fluid DynamicsComputational PhysicsPhysical ChemistryMonte Carlo MethodsMonte Carlo SimulationParticle MethodsParticle-based SimulationProcess SimulationSimulation MethodsChemical Reaction MechanismsCoagulationCollision FrequenciesDispersed Phase ModelingParticle CoagulationParticle Collision DynamicsParticle TrajectoriesParticle-particle Interactions
A Monte Carlo simulation technique for dispersed‑phase systems focuses on coagulation and aggregation, with industrial applications such as chemical reactions in coagulating droplets and coating of particles with small solids. The method transforms collision frequencies into pairwise collision probabilities, models particle evolution as a stochastic game with adaptive time steps, and is validated against exact solutions for solid particle aggregation and sectional‑method simulations of droplet coagulation. DSMC offers a simpler, easily implemented alternative to sectional models for simulating complex, multidimensional coagulation and aggregation systems.
Abstract A Monte Carlo simulation technique developed describes dispersed‐phase systems with emphasis on coagulation and aggregation. The method does not use particle trajectories, but is based on the transformation of known collision frequencies into collision probabilities of particle pairs. The particle evolution was computed as a stochastic game, computing the time step after each collision. The simulations were validated by comparing with exact mathematical solutions for aggregation of solid particles and with numerical solutions based on sectional methods for coagulation of droplets. The direct simulation Monte Carlo (DSMC) method is advantageous, because the simulation of complex, multidimensional systems results in very elaborate models when using sectional models and is implemented very easily. Two examples of industrial importance are chemical reaction in coagulating droplets and coating of particles with small solid particles.
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N. Metropolis, Stanislaw M. Ulam · Journal of the American Statistical Association · 1949 · 6.1K citations
M A Cayless · Physics Bulletin · 1977 · 962 citations