Numerical simulation of the dynamics of a bileaflet prosthetic heart valve using a fluid–structure interaction approach

Emerging Trends in Heart Valve Engineering: Part IV. Computational Modeling and Experimental Studies

“…Perhaps the most widely used methods in engineering practice for simulating FSI are based on arbitrary Lagrangian-Eulerian (ALE) formulations. 41,118 ALE methods for FSI problems are extensions of conventional finite element (FE) methods that treat the governing equations of conservation of momentum (Eqs. (1) and (2)), along with the coupling conditions (Eqs.…”

State-Of-The-Art Methods for the Numerical Simulation of Aortic BMHVs

“…However, the use of remeshing (and thus interpolation) introduces artificial diffusivity and can become expensive for complex three-dimensional geometries. Several studies have used the ALE approach to simulate the dynamics of the ATS Open Pivot TM Standard Heart Valve (Dumont et al, , 2007, the St. Jude Medical TM BMHV (Penrose et al, 2002;Redaelli et al, 2004;Dumont et al, 2007;Guivier et al, 2007Guivier et al, , 2009Nobili et al, 2007Nobili et al, , 2008Choi et al, 2009;Hong et al, 2009), and other valve types (Makhijani et al, 1997;Vierendeels et al, 2005Vierendeels et al, , 2007Bang et al, 2006;Morsi et al, 2007).…”

“…This is in contrast to the partitioned approach, which solves the flow and the structural problem separately and, therefore, mostly uses different specialized solvers. The partitioned approach is used to simulate heart valves in Makhijani et al (1997), Penrose et al (2002), Redaelli et al (2004), Dumont et al (2005Dumont et al ( , 2007, Vierendeels et al (2005Vierendeels et al ( , 2007, Bang et al (2006), Guivier et al (2007Guivier et al ( , 2009, Nobili et al (2007Nobili et al ( , 2008, Morsi et al (2007), Tai et al (2007), Borazjani et al (2008) In order to obtain the interaction between the fluid and the structure, data exchange at the fluid-structure interface and a coupling scheme between the separated solvers are needed. Unfortunately, not every coupling scheme converges quickly.…”

“…Fixed relaxation was used to simulate the dynamics of a BMHV with a partitioned solver by Penrose et al (2002), Nobili et al (2007Nobili et al ( , 2008, Borazjani et al (2008), De Tullio et al (2009), and Hong et al (2009. The main disadvantage of such a fixed relaxation is the lack of a physical meaning of the relaxation factor (Annerel et al, 2011).…”

Movement Effects on the Flow Physics and Nutrient Delivery in Engineered Valvular Tissues

“…Presently, simulations involving moving interfaces between flowing or deforming media are some of the most challenging problems in computational science (Driessen et al, 2007;Nobili et al, 2008;Vierendeels et al, 2008). In the body, the movement of heart valves represents an active, dynamic system (Gilmanov and Sotiropoulos, 2005;Peskin, 1972).…”