Immersed Boundary Method with Pressure Boundary Condition for Moving Object of Infinitesimal Thickness

Abstract

This study proposes and discusses the immersed boundary method (IBM) with the pressure boundary condition for flows containing moving objects of infinitesimal thickness. The pressure situation on the object border is not taken into account in the original IBM. Applying the initial IBM to the thin item results in pressure oscillations near the boundary as a result of the pressure difference between the object's front and back. The IBM with the pressure boundary condition was proposed in order to eliminate the pressure oscillations near the object boundary in the original IBM. The applicability of this method to thin objects can be improved because the IBM with the pressure boundary condition does not require the computational grid points inside the object.