ELISA FRANCO, DAVID N. PEKAREK, J IFENG PENG AND JOHN O. DABIRI Control and Dynamical Systems, California Institute of Technology, Pasadena, CA 91125, USA Mechanical Engineering, California Institute of Technology, Pasadena, CA 91125, USA Bioengineering, California Institute of Technology, Pasadena, CA 91125, USA Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, ...

This paper deals with the system composed by a rigid ball moving into a viscous incompressible fluid, over a fixed horizontal plane. The equations of motion for the fluid are the Navier–Stokes equations and the equations for the motion of the rigid ball are obtained by applying Newton’s laws. We show that for any weak solution of the corresponding system satisfying the energy inequality, the ri...

Computing blood flows in a closed vascular system by isolating one section for simulation creates difficulties due to the time-periodic structure of the flow and possible non-physical back flow in the simplified geometry. We propose some solutions in the context of a simplified fluid structure interaction on a fixed geometry but with pressure dependent normal velocities at the compliant walls. ...