Slip flows in ducts are important numerous engineering applications, most notably microchannel flows. Compared to the standard no-slip Dirichlet condition, case of slip formulates as a Robin-type condition for fluid tangential velocity. Such an increase mathematical complexity is accompanied by more challenging numerical transcription. The present work concerns with this topic, addressing model...

Bridges are very important for establishing communication paths. For this reason, it is important to control scour around bridge piers. Several methods have been proposed for scour control. One of the most useful methods is the use of submerged vanes. In the other hand, laboratory circumstances force many considered effective factors to be skipped in the scour phenomenon. In this situation, the...

  Abstract   Background: Postural instability has been identified as a potential precursor of   falls in elderly subjects. Postural stability in quiet stance is commonly assessed with   center of pressure (COP) measures. The purpose of this study was to determine testretest reliability and minimal detectable change (MDC) for the center of pressure   (COP) measures in the elderly subjects.   Met...

In this paper, we systematically derive jump conditions for the immersed interface method [SIAM J. Numer. Anal., 31 (1994), pp. 1019–1044; SIAM J. Sci. Comput., 18 (1997), pp. 709–735] to simulate three-dimensional incompressible viscous flows subject to moving surfaces. The surfaces are represented as singular forces in the Navier–Stokes equations, which give rise to discontinuities of flow qu...