Lattice Boltzmann simulation of viscous fluid systems with elastic boundaries

Fang, H. P., Lin, Z. F. and Wang, Z. (1998) Lattice Boltzmann simulation of viscous fluid systems with elastic boundaries. Physical Review E, 57 (1). R25-R28. ISSN 1539-3755 doi: 10.1103/PhysRevE.57.R25

Abstract/Summary

A lattice Boltzmann model able to simulate viscous fluid systems with elastic and movable boundaries is proposed. By introducing the virtual distribution function at the boundary, the Galilean invariance is recovered for the full system. As examples of application, the how in elastic vessels is simulated with the pressure-radius relationship similar to that of the pulmonary blood vessels. The numerical results for steady how are in good agreement with the analytical prediction, while the simulation results for pulsative how agree with the experimental observation of the aortic flows qualitatively. The approach has potential application in the study of the complex fluid systems such as the suspension system as well as the arterial blood flow.