An overview of the Pseudo-Direct Numerical Simulation (P-DNS) method is presented. This
is a multi-scale method aiming at numerically solving the unknown fields at two different …

The unconditional stability and convergence analysis of the Euler implicit/explicit scheme
with finite element discretization are studied for the incompressible time-dependent Navier …

In this work, a new model for the analysis of incompressible fluid flows with massive
instabilities at different scales is presented. It relies on resolving all the instabilities at all …

The behavior of the cable jacket in fire characterized by the tendency to melt and drip
constitutes a major source of fire hazard. The reason is that the melted material may convey …

We present a practical finite difference scheme for the incompressible Navier–Stokes
equation on curved surfaces in three-dimensional space. In the proposed method, the …

Analysis of drop spreading and sliding on solid substrates is critical for many industrial
applications, such as microfluidic devices, cooling towers, and fuel cells. A new three …

A particle finite element method-based model is proposed to analyze droplet dynamics
problems, particularly droplet spreading on solid substrates (wetting). The model uses an …

Abstract The Navier–Stokes equations are the fundamental equations governing fluid
motions. Due to the excellent properties of memory and heredity of the time fractional …

The aim of this paper is to develop an unconditionally stable Euler implicit/explicit scheme
for the natural convection equations based on an introduced exponential scalar auxiliary …

Particle finite element method (PFEM) is a computational tool suitable for simulating fluid
dynamics problems characterized by presence of moving boundaries. In this paper a new …