Stable loosely-coupled-type algorithm for fluid–structure interaction in blood flow

Some Numerical Approaches to Solve Fluid Structure Interaction Problems in Blood Flow

“…The model discussed here is based on the work of [9,10]. Consider the flow of an incompressible, viscous Newtonian fluid in a two-dimensional symmetric channel with thin and deformable walls in Figure 1.…”

“…For a critical review on blood flow, one can refer to [36] where the blood rheology, blood viscosity models, and conditions are listed. In this paper, only Newtonian fluid will be considered as in [9][10][11]33].…”

“…Guidoboni et al [9,10] proposed the generalized string model which includes the elastic and viscoelastic behavior. Γ( ) is assumed as a linearly viscoelastic thin shell, undergoing only transversal displacement = ( , ):…”

“…The generalized string model had been utilized as the structure of blood flow in compliant vessels and arteries [9][10][11][12][13][14][15]. Causin et al [16] explained that the generalized string model is a structural model derived from the theory of linear elasticity for a cylindrical tube with small thickness.…”

“…To date, it seems that only the monolithic and implicit schemes are applicable in blood flow simulation involving fluid structure interaction. However, they are costly in terms of computational cost, computational time, and memory requirement [9][10][11][31][32][33]. In Section 4, the improved numerical methods which are stable but with low computational time are summarized.…”