An Impulse-Based Approximation of Fluid Motion due to Boundary Forces

✍ Scribed by Ricardo Cortez

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 353 KB
• Volume: 123
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0028

✦ Synopsis

order blobs and in which the dipole strengths are updated with the appropriate equation.

The motion of an incompressible, inviscid fluid in a region surrounded by a massless, elastic membrane can be approximated by McCracken and Peskin [19] applied a vortex-grid hybrid transmitting the effect of the boundary forces to the fluid through method to the study of blood flow through heart valves. vortex dipoles. We present a Lagrangian numerical method for ap-This method made use of a simple vortex layer to introduce proximating this motion based on the impulse (a.k.a. magnetization) the effects of normal boundary forces over each time step variables introduced by Buttke. In particular, we explain the correand a layer of discrete vortex dipoles to introduce the spondence between impulse variables and vortex dipoles with a prescribed dipole moment. Numerical examples that illustrate the effects of tangential forces. By a discrete vortex dipole application of impulse variables in this context are given. ᮊ 1996 we mean a pair of vortex blobs with equal but opposite Academic Press, Inc.

strengths a small distance apart.

Our method for introducing the effects of elastic forces on the fluid is based on impulse rather than vorticity. This 341