Quantification of high dimensional uncertainty in propagation over random terrain

Efficient calculation of expected (mean) propagation factor for wave propagation above a random long-range terrain is achieved. An adaptive sparse grid collocation algorithm (ASGC) is applied for interpolating each component function from an adaptive high dimensional model representations (HDMR) decomposition. The decomposition reveals significant elimination of redundant sampling. The obtained results are compared with the reference solution obtained with a large set of samples simulated with Monte-Carlo method.