A kinetic Fokker–Planck approach for modeling variable hard-sphere gas mixtures
Christian Hepp, Martin Grabe, Klaus Hannemann
Abstract
Kinetic Fokker–Planck (FP) methods for modeling rarefied gas flows have received increasing attention over the last few years. However, formulating such models for realistic multi-species gases is still an open subject of research. Therefore, in this letter, we develop a kinetic FP model for describing gas mixtures with particles interacting according to the variable hard-sphere interaction potential. In accordance with the kinetic FP framework, a stochastic solution algorithm is employed in order to solve the model on a particle level. Different test cases are carried out, and the performance of the proposed method is compared with the direct simulation Monte Carlo algorithm.
Topics & Concepts
Kinetic energyStatistical physicsFokker–Planck equationVariable (mathematics)Monte Carlo methodKinetic Monte CarloPhysicsPlanckHard spheresKinetic theoryThermodynamicsClassical mechanicsMathematicsDifferential equationMathematical analysisQuantum mechanicsStatisticsGas Dynamics and Kinetic Theorynanoparticles nucleation surface interactionsOptical properties and cooling technologies in crystalline materials