We present an efficient scheme within the phase field framework for imposing dynamic contact angle boundary conditions for wall-bounded flows of two immiscible incompressible fluids with large density ratios. First, we develop an algorithm for imposing the dynamic contact angle boundary conditions to the Cahn–Hilliard equation. Our algorithm consists of two components: (i) we ignore the boundar...

background: diabetes has become the next most widespread disease after cancer. recent studies have found that diabetes and moderate to severe vitamin d defi ciency are associated with reduced bone mineral content; therefore administration of vitamin d may correct these conditions. the purpose of this research is to compare the effect of vitamin d administration on bone to implant contact in dia...

Abstract Plane-strain motion of a flexural seismic metasurface in the form regular array thin Kirchhoff plates attached to surface an elastic half-space is analysed. Two types contact conditions, including simply supported and moving along horizontal rails are studied. Dispersion time harmonic waves investigated both asymptotically numerically. A major effect conditions on behaviour discovered....