Compact Filters with Holes

Matlab implementation of selective filters as compact operators to be used with finite-difference solvers.

Explicit Selective Filters

An implementation of the explicit Taylor-based filters presented by Bogey and Bailly (2004). Using Matlab, these filters are here implemented as matrix operators suitable for using along with explicit/compact finite-difference schemes.

Test	True / Noised / Filtered f(x)	Error w.r.t. True f(x)
1D
1D+BC

Test	Direct Explicit Filter	Explicit Filter Operator
2D
2D+xyBC	(not implemented)
2D+xBC	(not implemented)

References

• Bogey, C., & Bailly, C. (2004). A family of low dispersive and low dissipative explicit schemes for flow and noise computations. Journal of Computational physics, 194(1), 194-214.
• Berland, J., Lafon, P., Daude, F., Crouzet, F., Bogey, C., & Bailly, C. (2011). Filter shape dependence and effective scale separation in large-eddy simulations based on relaxation filtering. Computers & Fluids, 47(1), 65-74.