Numerical study of incompressible flow in a region bounded by elastic walls
Abstract
A gridfree method for computing the flow of an incompressible inviscid fluid surrounded by elastic walls is introduced. The boundary is assumed to exert forces on the fluid and to move at the local fluid velocity. The crux of the method of solution is the representation of point forces by discrete vortex dipoles. Peskin's algorithm is used to compute the forces exerted by the boundary on the fluid: from the state of the boundary a set of point forces is obtained via a link formalism. The major accomplishment of the method is the replacement of each point force by a vortex dipole with axis length and vortex intensity set so that the vortex dipole imparts to the fluid precisely the amount of momentum transmitted by the point force. Euler's equations are then integrated; the accumulated vorticity at the boundary determines the fluid velocity everywhere.
 Publication:

Ph.D. Thesis
 Pub Date:
 1977
 Bibcode:
 1977PhDT.......127M
 Keywords:

 Incompressible Flow;
 Numerical Analysis;
 Wall Flow;
 Algorithms;
 Elastic Plates;
 Euler Equations Of Motion;
 Flow Measurement;
 Inviscid Flow;
 Fluid Mechanics and Heat Transfer