🚀 go-pugleaf

In article <1993Jan21.154511@roper.mc.ti.com> a722756@roper.mc.ti.com (W. Donald Rolph) writes:
>
>The proposed method of either Han or myself will couple the navier-stokes
>(actually the energy equation is more general I think - comments Han), and the 
>dynamic equations of the solid.  It was exactly the elasticity of the fluid 
>acting against the dynamic behavior of the soldi which Olsen writes about.
>-- 
>
>Regards.
> 
>Don Rolph  a722756@pan.mc.ti.com WD3 MS10-13 (508)-699-1263

If my memory serves me correctly (and it often doesn't), the 1985 
Olsen-Bathe paper considers a linear solid and a stationary, inviscid 
fluid. The governing equation of the fluid is then the wave equation, 
while the solid is described by Navier's elastodynamics equations. 
Such problems arise in the study of structural acoustics, in which one 
is interested in the scattering and radiation of pressure waves from 
an elastic body. However, this problem is not really one of aeroelasticity 
(about which Olivier asked), since the fluid domain is not affected by 
solid deformations. 

Don is right is saying that the general nonlinear equations of both media 
can be coupled, and the problem solved (in principle) straightforwardly. 
In fact, we are developing a variationally-based FEM approach to the 
solution of finite elasticty--viscous flow interaction problems. I hope 
to have a paper ready by Spring; drop me a line if you're interested in 
receiving a copy.

Cheers,
Omar

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Omar Ghattas                                 ghattas@cmu.edu
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