Preface -- 1 Multi-scale modeling and simulation of polymer flow -- 1.1 Introduction -- 1.2 Macroscopic modeling and simulations -- 1.3 Multi-scale kinetic theory of viscoelastic flow -- 1.4 Micro-macro simulations using the stochastic approach -- 1.5 Micro-macro simulations using the Fokker-Planck approach -- 1.6 The impact of closure approximations -- 1.7 Illustrative examples of complex flow simulations -- 1.8 Discussion -- 1.9 Conclusions -- References -- 2 Complex flows of micro/nano structured fluids: Reinforced polymer composites -- 2.1 Introduction -- 2.2 Dilute and semi-dilute suspensions -- 2.3 Processing flow simulation -- 2.4 Concentrated suspensions involving rod clusters -- 2.5 Advanced topics -- References -- 3 Flows of simple fluids in complex microstructures -- 3.1 Introduction -- 3.2 Description of fibrous microstructures in composites -- 3.3 Governing equations for flows in porous media -- 3.4 Flow of simple fluids in non-deformable fibrous microstructures -- 3.5 Flow of complex fluids in non-deformable fibrous microstructures -- 3.6 Numerical simulation -- References.