Adequate Boundary Conditions
Hi all !
I'm a PhD student, and I'm writing a code for the stability study of the flow inside a leading-edge slat cavity. I use the incompressible Euler equations. They are elliptic. Conquequently, I have a big issue for the choice of the bounday conditions, especially at the entry of the cavity, where the flow has no special properties. I cannot use the method of characteristics because of the ellipticity of the equations. So, well, I'm a bit lost, and some advices will be helpfull ! Thanks ! |
Re: Adequate Boundary Conditions
Unfortunately, I can't give you an answer. But one question: why using Euler's equations ? Navier-Stokes is a much better model, and MUCH more numerically stable.
I would advice making a N-S solver with high viscosities, and then decreasing the viscosity if the convergence can be achieved. |
Re: Adequate Boundary Conditions
> But one question: why using Euler's equations ?
First, it's was a choice made a long time ago, and since I am in my third year thesis, I don't have enough time to make a N-S solver. But that would be a potential involvement for further works. > Navier-Stokes is a much better model It depends on the physical problem you are considering. In my case, viscosity on not of critical interest, and the stability method I am developping would be much more complicated with order 2 derivatives. > and MUCH more numerically stable. I am using a spectral collocation method, wich in very very numerically stable ;) I think, I will use an extrapolation condition in a first attempt. Does anyone have an opinion on that ? |
Re: Adequate Boundary Conditions
Is it meaningfull to consider the flow to be locally compressible near the boundary ? Then, the system would be hyperbolic near the boundary and i could use classical nonreflecting boundary conditions.
Am I right ? |
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