Due to the significant health and economic impact of blood vessel diseases on modern society, its analysis is becoming of increasing importance for the medical sciences. The complexity of the vascular system, its dynamics and material characteristics all make it an ideal candidate for analysis through fluid-structure interaction (FSI) simulations. FSI is a relatively new approach in numerical a...

Abstract In this work a finite element-based model for analyzing incompressible flows in flexible channels is presented. The treats the fluid–solid interaction problem monolithic way, where governing equations both sub-domains are solved on single moving grid taking advantage of an arbitrary Lagrangian/Eulerian framework (ALE). unified implementation developed, these distinguished only terms me...

In computations of unsteady flow problems by the arbitrary Lagrangian–Eulerian (ALE) method, introduction grid velocity in transport terms governing equations is not a sufficient condition for conservativeness if topology changes dynamic mesh are present and number cells changes. We discuss an extension to second-order time differencing schemes (Implicit Euler Crank–Nicolson) finite volume fram...

We propose a numerical method for modeling multimaterial flows where the domain is decomposed into separate Eulerian and Lagrangian subdomains. That is, the equations are written in Eulerian form in one subdomain and Lagrangian form in the other subdomain. This is of interest, for example, when considering the effect of underwater explosions on the hull of a ship or the impact of a low speed pr...

By utilizing a Rayleigh friction formulation to model the dissipative processes in the ocean, a Lagrangian analysis for the mean drift due to surface gravity waves is performed. The waves have amplitudes that vary slowly in time and space, and can be forced by a prescribed wind-stress distribution normal to the free surface. The ocean depth is constant, and the analysis is valid for arbitrary w...