Numerical accuracy, numerical stability and calculation time are all important factors in the computational fluid dynamics. In this study, we compare two solution algorithms, the Simplified Marker and Cell (SMAC) method in the MAC-type methods and the Semi-Implicit Method for Pressure-Linked Equation (SIMPLE) algorithm in the SIMPLE-type algorithms, with respect to flow around a square cylinder...

The work develops a high-accuracy viscous analysis of nonlinear aeroelastic interaction of a Micro Air Vehicle’s (MAV) wing section with a non-uniform, unsteady upstream flow. In the implemented iterative procedure, a set of governing Navier-Stokes equations is solved simultaneously with nonlinear equations of motion of the structure, so that the fluid and structure are treated as a coupled dyn...

In this study, a similarity analysis is made for an unsteady two-dimensional MHD free convective and heat transfer flow of a viscous incompressible fluid along a vertical flat plate with internal heat generation/absorption. The governing time-dependent boundary-layer equations are reduced to non-linear ordinary differential equations by introducing a similarity transformation. The obtained simi...

We review recent analytical and computational results for macroscopic-microscopic beadspring models that arise from the kinetic theory of dilute solutions of incompressible polymeric fluids with noninteracting polymer chains, involving the coupling of the unsteady Navier– Stokes system in a bounded domain Ω ⊂ Rd, d = 2 or 3, with an elastic extra-stress tensor as right-hand side in the momentum...

Using jet propulsion, squid can swim at high speed or at low speed with good maneuverability, which makes them quiet valuable to be studied for biomimetic purposes. Vortex rings usually occur in the highly-unsteady jet flow in squid, and they play quite important roles in the jet propulsion of squid. This paper tries to investigate the squid jet structure by computational fluid dynamics (CFD) a...

An incompressible surface F on the boundary of a compact orientable 3manifold M is arc-extendible if there is an arc γ on ∂M − IntF such that F ∪N(γ) is incompressible, where N(γ) is a regular neighborhood of γ in ∂M . Suppose for simplicity that M is irreducible, and F has no disk components. If M is a product F × I, or if ∂M − F is a set of annuli, then clearly F is not arc-extendible. The ma...

This paper proposes a new approach that combines the reduced differential transform method (RDTM), resummation based on Yang transform, and Padé approximant to kinetically local Navier-Stokes equation find approximate solutions problem of lid-driven square cavity flow. The approach, called PYRDM, considerably improves convergence rate truncated series solution RDTM also is simple process yields...

Direct numerical simulation (DNS) is used to study the evolution of a boundary layer that was laminar initially followed by separation and then reattachment owing to generation of turbulence. This creates a closed region of recirculation, known as the laminar-separation bubble. The present simulation emulates the flow environment encountered in a modern LP turbine blade, where a laminar separat...

In this article, we consider the incompressible Navier-Stokes equations with linearly growing initial data U0 := u0(x) −Mx. Here M is an n × n matrix, trM = 0, M2 is symmetric and u0 ∈ L2(Rn) ∩ Ln(Rn). Under these conditions, we consider v(t) := u(t) − eu0, where u(x) := U(x) −Mx and U(x) is the mild solution of the incompressible Navier-Stokes equations with linearly growing initial data. We s...