Internal seminar of the SERENA team, Thursday 19 November, 4pm-5pm in building 13: Géraldine Pichot: Generation algorithms of stationary Gaussian random fields
Abstract: Flow and transport equation in geological media involve physical coefficients like the permeability and the porosity. Those coefficients are classically modeled by Gaussian random fields. In order to study the impact of the variability of those coefficients on flow and transport phenomenon, a large number of those fields are simulated which requires an efficient simulation method. I will present different algorithms to simulate stationary Gaussian random fields over a regular grid and based on the classical circulant embedding approach. I will also discuss some parallel issues and present numerical results with different covariance functions. This is a joint work with Jocelyne Erhel and Mestapha Oumouni (INRIA, Rennes).