文档介绍：JOURNAL PUTATIONAl. PHYSICS 121, 347-356 (1995)
A Variational Finite Element Method for Stationary
Nonlinear Fluid-Solid Interaction
OMAR GHATTAS AND XIAOGANG LI
Computational Mechanics I_xzboratory, Department of Ciuil and Environmental Engineering, Carnegie Mellon Unioersit3,, Pittsburgh, Pennsylvania 15213
Received October 28, 1994
on linear theory are well established [4, 9]. Certain nonlinear
We consider the problem of the interaction of a stationary viscous aeroelasticity phenomena have been amenable to analytical
fluid with an elastic solid that undergoes large displacement. The and semi-analytical study, and significant understanding of the
fluid is modeled by the stationary pressible Navier-Stokes physics of these problems has been elucidated in recent years
equations in an Eulerian frame of reference, while a Lagrangian
reference frame and large displacement-small strain theory is used [10], Recently, interest has increased putational aero-
for the solid. A variational formulation of the problem is developed elasticity, ., in developing methods for direct numerical ap-
that ensures satisfaction of continuity of interface tractions and proximation of the governing nonlinear partial differential equa-
velocities. The variational formulation is approximated by a Galerkin tions of the fluid-solid system [16-18, 3, 19, 11]. This intere