There are two distinctive methods in describing the motion of fluid flows mathematically. One is based on the conservation laws of mass, momentum, and energy, and the associated constitutive relations representing the inherent properties of fluid media, which is called the Navier-Stokes-Fourier (NSF) equations in the literature. Another is based on the stochastic partial differential equation o...

A two-stage computational model of evolution of a plume generated by laser ablation of an organic solid is proposed and developed. The first stage of the laser ablation, which involves laser coupling to the target and ejection of molecules and clusters, is described by the molecular dynamics ~MD! method. The second stage of a long-term expansion of the ejected plume is modeled by the direct sim...

A hybrid particle-continuum computational framework is developed and presented for simulating hypersonic interacting flows, aimed to be faster and more accurate than conventional numerical methods. The framework consists of the direct simulation Monte Carlo-Information Preservation (DSMC-IP) method coupled with a Navier-Stokes solver. Since the DSMCIP method provides the macroscopic information...

Vincent Casseau 1,2,*,‡, Daniel E. R. Espinoza 1,2,‡, Thomas J. Scanlon 1,2,‡ and Richard E. Brown 2,‡ 1 James Weir Fluids Laboratory, University of Strathclyde, Glasgow G1 1XJ, UK; [email protected] (D.E.R.E.); [email protected] (T.J.S.) 2 Centre for Future Air-Space Transportation Technology, University of Strathclyde, Glasgow G1 1XJ, UK; [email protected] * Corresp...

Traditionally, acoustics is concerned with the treatment of the fluid as a continuum using macroscopic quantities such as velocity and pressure as dependent variables. However, the continuum model breaks down for Knudsen numbers (Kn) greater than roughly 0.05, where Kn is defined as the ratio of mean free path to wavelength. Particle methods are necessary for, but not limited to, problems with ...

Thermal accommodation coefficient, one of the fundamental parameters in rarefied gas dynamics, is usually introduced to account for the fraction of incident molecules interacting with solid surface in a diffusive manner. In the present study, the effects of thermal accommodation on the unsteady one-dimensional micro-flow are examined, when the oscillating flow input is applied, by employing the...

A new family of Monte Carlo schemes has been recently introduced for the numerical solution of the Boltzmann equation of rarefied gas dynamics[14]. After a splitting of the equation the time discretization of the collision step is obtained from the Wild sum expansion of the solution by replacing high order terms in the expansion with the equilibrium Maxwellian distribution. The corresponding ti...

In this paper, a new decentralized fuzzy sliding mode control (DFSMC) strategy for a class of large-scale nonlinear systems (LSNS) with strong unknown interconnections is proposed. The main objective of our contribution is to reduce the used switching gains in the decentralized sliding mode controller (DSMC) to decrease the chattering amplitude in the presence of strong interconnections in each...