[eb.nabizadeh]

Hello,

I am trying to implement an RBF meshless method to capture shock waves. I used a Roe's scheme as an upwinding method but my result shows that it is to diffuse. Has anyone used RBF method to capture shock wave? I appreciate it if you could give any suggestion to improve the resolution and better accuracy.

[phy4me]

Hello,

I'm working too on the RBF method for problems including schock.

You can try to look this references :
http://www.sciencedirect.com/science...55799716300108

The mean idea is to combine a upwinding with slope limiter techniques.

I thinck also that good results herien are because largest collocation points.

[eb.nabizadeh]

Thanks for the reply. Actually I used the slope limiter (Van Albada) to find the value at the interface and enhance the accuracy but I think there are some problems with the upwinding implementation. Do you have any idea on how to implement the upwinding scheme for RBFs?

Originally Posted by phy4me

Hello,

I'm working too on the RBF method for problems including schock.

You can try to look this references :
http://www.sciencedirect.com/science...55799716300108

The mean idea is to combine a upwinding with slope limiter techniques.

I thinck also that good results herien are because largest collocation points.

[phy4me]

In the reference above the the implementation of upwind technique are described.