By using a combined analytical–computational methodology, a unified modelling of aerodynamic indicial functions covering the incompressible, subsonic compressible, transonic, and supersonic flight speed regimes is presented. The procedure is carried out in conjunction with a computational fluid dynamic analysis. For a plunging–pitching airfoil, selected unsteady aerodynamic load expressions hav...

Two-dimensional electrons in a magnetic field can form new states of matter characterized by topological properties and strong electronic correlations as displayed in the integer and fractional quantum Hall states. In these states, the electron liquid displays several spectacular characteristics, which manifest themselves in transport experiments with the quantization of the Hall resistance and...

A model for the simulation of complex three-dimensional free surface flows is presented. An incompressible liquid interacts with a compressible gas. The incompressible Navier-Stokes equations are solved only in the liquid domain while the dynamical effects in the gas are neglected. The compressibility effects of the gas are taken into account by computing its pressure. Surface tension effects a...

A numerical investigation has been conducted into the influence of flow compressibility effects around an open-wheeled racing car. A geometry was created to comply with 2012 F1 regulations. Incompressible and compressible CFD simulations were comparedfirstly with models which maintained Reynolds number as Mach number increased, and secondly allowing Mach number and Reynolds number to increase t...

We develop a principled way of identifying probability distributions whose independent and identically distributed (iid) realizations are compressible, i.e., can be approximated as sparse. We focus on the context of Gaussian random underdetermined linear regression (GULR) problems, where compressibility is known to ensure the success of estimators exploiting sparse regularization. We prove that...

Spanwise wall oscillation is an easily implemented active control scheme. It can delay the transition to turbulent flows in incompressible boundary layers under appropriate parameters. However, this delayed compressible has not yet been confirmed numerically. In paper, we perform a series of direct numerical simulations spatially developing subsonic layer with different spanwise periods and amp...

In this paper we design high-order local artificial boundary conditions and present error bounds for the finite element approximation of an incompressible elastic material in an unbounded domain. The finite element approximation is formulated in a bounded computational domain using a nonlocal approximate artificial boundary condition or a local one. In fact there are a family of nonlocal approx...

We present and analyze a simpliied, scale-separated, anelastic uid model which is designed to assess the innuence of weak compressibility in the diiusive transport of a passive scalar. Our model incorporates a slowly varying, density induced, anisotropy into a xed, rapidly varying (small scale) uid ow. This anisotropy is physically motivated through the anelastic mass balance which retains vert...

in this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. governing fluid flow equations are discretized using a collocated finite-volume mesh. convective terms a...

We can classify the flow of a fluid in a straight circular tube into either laminar or turbulent flow. It is assumed from hereon that we assume fully developed incompressible, Newtonian, steady flow conditions. Fully developed flow implies that the tube is long compared with the entrance length in which the velocity distribution at the inlet adjusts itself to the geometry and no longer changes ...