wall-jet flow is an important flow field in hydraulic engineering, and its applications include flow from the bottom outlet of dams and sluice gates. in this paper, the plane turbulent wall jet in shallow tailwater is simulated by solving the reynolds averaged navier-stokes equations using the standard  turbulence closure model. this study aims to explore the ability of a time splitting method ...

In nature and engineering applications, wall-bounded flow often encounter a heterogeneous surface condition, such as the atmosphere boundary layer at urban over riveted aircraft surfaces. particular scenario, when heterogeneity is predominantly in spanwise direction of flow, this roughness can generate secondary cross plane which very different from smooth-wall or homogeneous rough-wall layers.

The effect of (a huge number of) pumping holes on beam dynamics and stability, described in terms of coupling impedances, is a fundamental issue and has been carefully investigated, both theoretically [1] and experimentally [2]. With the exception of a few very simple pipe geometris, for which the modal expansion of the electromagnetic field is available, beam coupling impedances can be only co...

the most accurate method for calculating the aeroheating is numerical solution method. using finite volume method to solve the navier-stokes equations in time is very time consuming. so by using the finite difference algorithm, transfer equations to curvature coordinate by the mapping function, and combination of the viscous shock layer and similarity of boundary layer, the ctca code was develo...

In the lattice Boltzmann method (LBM), widely utilized wall boundary is bounce-back (BB) boundary, which corresponds to no-slip boundary. The BB prevents LBM from capturing accurate shear drag on when addressing high Reynolds number flows using coarse-grid systems. this study, we proposed a "wall-function bounce (WFB)" that incorporates function into LBM's condition and overcomes limitation of ...

The no-slip boundary condition, i.e., zero fluid velocity relative to the solid at the fluid-solid interface, has been very successful in describing many macroscopic flows. A problem of principle arises when the no-slip boundary condition is used to model the hydrodynamics of immiscible-fluid displacement in the vicinity of the moving contact line, where the interface separating two immiscible ...

Using covariance identities based on the Clark-Ocone representation formula we derive Gaussian density bounds and tail estimates for the probability law of the solutions of several types of stochastic differential equations, including Stratonovich equations with boundary condition and irregular drifts, and equations driven by fractional Brownian motion. Our arguments are generally simpler than ...

We consider a wave-function approach to the false vacuum decay with gravity and present a new method to calculate the tunneling amplitude under the WKB approximation. The result agrees with the one obtained by the Euclidean path-integral method, but gives a much clearer interpretation of an instanton (Euclidean bounce solution) that dominates the path integral. In particular, our method is full...