Particles-on-Demand for Kinetic Theory

TL;DR

This paper introduces a new kinetic theory for fluid dynamics that uses on-demand constructed particles, eliminating previous limitations and broadening the scope of computational fluid dynamics applications.

Contribution

It presents a novel particle formulation that removes restrictions on Mach number and temperature, enabling more versatile fluid simulations.

Findings

Successfully applied to classical fluid benchmarks

Demonstrates broad applicability to incompressible and compressible flows

Avoids ad hoc assumptions in particle velocity determination

Abstract

A novel formulation of fluid dynamics as a kinetic theory with tailored, on-demand constructed particles removes any restrictions on Mach number and temperature as compared to its predecessors, the lattice Boltzmann methods and their modifications. In the new kinetic theory, discrete particles are determined by a rigorous limit process which avoids ad hoc assumptions about their velocities. Classical benchmarks for incompressible and compressible flows demonstrate that the proposed discrete-particles kinetic theory opens up an unprecedented wide domain of applications for computational fluid dynamics.