Computational Simulation of Internal Flow in the Left Ventricular Displacement Pump Model

Abstract eng:
Recently, the number of heart disease patients is increasing. It is important to know the blood flow in left ventricle for appropriate diagnosis, however it is difficult to measure with clinical apparatus because of the unsteady and complex deformation behavior of left ventricle. Therefore, we aim to simulate the blood flow with computational simulation. As a fundamental study, we simulate the flow in the simulation model of displacement pump whose capacity is changed in a cycle. We use 2-dimentional Navier-Stokes equations as governing equations. To deal with arbitrary body shape like displacement pump and valves on the Cartesian grid, we use virtual flux method [1]. The virtual flux method is one of the sharp interface Cartesian grid methods. The numerical flux across the interface is replaced with the virtual flux so that proper interface condition could be satisfied there. We simulate the blood flow in the computational model. The volume of the model changes in a cycle as displacement pump, and two valves are moved by the fluid force and governed by rigid-body rotation. Two vortices are generated in the model (Fig. 1), and we validate mass conservation in terms of flow rate (Fig. 2).

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