REDUCED BASIS NUMERICAL HOMOGENIZATION FOR SCALAR ELLIPTIC EQUATIONS WITH RANDOM COEFFICIENTS: APPLICATION TO BLOOD MICRO-CIRCULATION

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.