in this study, we proposed a novel scheme for the implementation of the no-slip boundary condition in thelattice boltzmann method (lbm) . in detail , we have substituted the classical bounce-back idea by the direct immersed boundary specification . in this way we construct the equilibrium density functions in such a way that it feels the no-slip boundaries . therefore , in fact a kind of equili...

In this paper the effect of surface tension is considered on two two-dimensional waterwave problems involving pairs of immersed bodies. Both models, having fluid of infinite depth, support localized oscillations, or trapped modes, when capillary effects are excluded. The first pair of bodies is surface-piercing whereas the second pair is fully submerged. In the former case it is shown that the ...

The question of uniqueness for linearized problems describing interaction of submerged bodies with an ideal unbounded fluid is far from its final resolution. In the present work a new criterion of uniqueness is suggested based on Green’s integral identity and maximum principles for elliptic differential equations. The criterion is formulated as an inequality involving integrals of the Green fun...

Although, acoustic techniques are currently the mainstay for detection and tracking of submerged bodies like submarine and autonomous underwater vehicles (AUV), advent of silent submarines and the ensuing reduction of acoustic signatures and development of anechoic coatings is making detection very difficult especially in shallow water environment. Though there are some promising non-acoustic t...

In this work, a boundary element model of an underwater landslide is developed. Careful gridding and time stepping techniques are demonstrated that produce highly accurate simulation results based on conservation of volume. A sensitivity analysis shows how to optimize simulation accuracy. The general techniques demonstrated herein are applicable to arbitrary moving submerged bodies. q 1999 Else...

Submerged macrophytes play important roles in constructed wetlands and natural water bodies, as these organisms remove nutrients and provide large surfaces for biofilms, which are beneficial for nitrogen removal, particularly from submerged macrophyte-dominated water columns. However, information on the responses of biofilms to submerged macrophytes and nitrogen molecules is limited. In the pre...