partial slip condition for complex boundaries


I want to implement a partial slip boundary condition. But I can only find papers which deal with slip on straight walls. Can someone recommend me a paper for partial slip on complex boundaries?


Hi Marc,

I’m not aware or any such papers, but perhaps this is because I haven’t been looking. My advice would be to look at the method of Verhaeghe et al (JCP 2009). The diffusive scheme proposed here is quite simple so I imagine you could use this and either implement your complex boundary with a staircase-like approximation or combine it with interpolation for when boundaries cut the lattice links. Since Verhaeghe’s method is quite similar to bounce-back in some sense (it at least reduces to pure bounce back when the diffusive contribution is zero) you may be able to use it in conjunction with some of the techniques that supplement bounce-back.

Good luck!