Optimal Time Step Length for Lagrangian Interacting-Particle Simulations of Diffusive Mixing

Diffusive Behavior of Interacting Particle Systems

Chemical mixing in smoothed particle hydrodynamics simulations

We introduce a simple and efficient algorithm for diffusion in smoothed particle hydrodynamics (SPH) simulations and apply it to the problem of chemical mixing. Based on the concept of turbulent diffusion, we link the diffusivity of a pollutant to the local physical conditions and can thus resolve mixing in space and time. We apply our prescription to the evolution of an idealized supernova rem...

Lagrangian Relaxation Method for the Step fixed-charge Transportation Problem

In this paper, a step fixed charge transportation problem is developed where the products are sent from the sources to the destinations in existence of both unit and step fixed-charges. The proposed model determines the amount of products in the existing routes with the aim of minimizing the total cost (sum of unit and step fixed-charges) to satisfy the demand of each customer. As the problem i...

Optimal control of interacting particle systems

The adaptive control of Markovian stochastic processes has a mature theory, either for optimal discounted reward [3, 2] than for average reward [1]. However, the analysis of controlled particles systems has not been studied closely. The aim of this paper is to fill this gap, and bring concepts of statistical physics into the field of optimal control. The general framework is the following, N pa...

GPU acceleration of Eulerian–Lagrangian particle-laden turbulent flow simulations

Acceleration of an existing MPI-based, particle-laden turbulent flow simulation code is achieved using up to four NVIDIA GPU devices. The overall design is to transfer the entire flow velocity, temperature, and humidity fields to each device, and compute particle trajectories entirely on the GPU hardware. For one-way coupled turbulent flow simulations, accurate simulations can be achieved for l...