Comparative Analysis of Finite Element Method Solvers in Computational Blood Flow Investigations

Mathematical modeling is the current trend to solve a complex time-dependent or stationary problem under investigation. The models enclosed in a study are often solved using numerical techniques rather than traditional analytical techniques. The numerical techniques used are available to the researcher in an embedded form through the numerical solvers. As nearly all complex phenomena can be modeled as partial differential equation systems, Finite Element Methods are frequently used to solve the complex structured mathematical model. In the present study, an analysis of the several solvers (both free as well as commercial) available in the current research field pertaining to the Finite Element Methods (FEM) is explored. The field of research comprises several distinguishing flow conditions integrating mechanical properties of arterial walls. The investigation presents a variety of FEM solvers available to computationally simulate the close-to clinical and physiological conditions. The advantages and drawbacks of a solver in contrast with the others are enlisted to aid the researchers in the selection of a suitable solver. The review of the usage solvers is articulated concerning the blood flow in an arterial segment. To the best of the authors' knowledge, the idea of surveying the FEM solvers in blood flow studies demonstrates the novelty of the present study.