REDUCED BASIS NUMERICAL HOMOGENIZATION FOR SCALAR ELLIPTIC EQUATIONS WITH RANDOM COEFFICIENTS: APPLICATION TO BLOOD MICRO-CIRCULATION
Yvon Maday, Noura Morcos, Toni Sayah · 2012
Abstract. We consider a non periodic homogenization model designed to simulate the blood flow at the level of the micro-vascularised tissues. We solve elliptic partial differential equations with two length-scales on the domain and we use the reduced-basis method to speed up the numerical resolution. Finally, we show numerical results and comparisons in 2D and 3D. Key words. Porous media, stochastic homogenization, reduced basis method, microcirculation, blood flow