multi-dim interpl. polyn. for reconstr.

April 11, 2007, 22:41

Hi, Can anyone suggest a good interpolation polynomial (multi dimensional) for reconstructing the cell averages? I employ them for unstructured WENO schemes.

I have currently employed the basic series expansion. But, for multi-dimensions, it is quite unstable for strong shocks. I was wondering if some thing like radial basis functions were employed for the same.

Thanks for your suggestions.

DSS

April 12, 2007, 03:35

Radial basis functions have been used by Thomas Sonar on unstructured grids. Search for his papers.

April 11, 2007, 22:41	multi-dim interpl. polyn. for reconstr.	#1
DSS Guest Posts: n/a	Hi, Can anyone suggest a good interpolation polynomial (multi dimensional) for reconstructing the cell averages? I employ them for unstructured WENO schemes. I have currently employed the basic series expansion. But, for multi-dimensions, it is quite unstable for strong shocks. I was wondering if some thing like radial basis functions were employed for the same. Thanks for your suggestions. DSS

April 12, 2007, 03:35	Re: multi-dim interpl. polyn. for reconstr.	#2
Praveen. C Guest Posts: n/a	Radial basis functions have been used by Thomas Sonar on unstructured grids. Search for his papers.