Hydrodynamic simulations of soft matter systems in external fields The understanding of soft matter systems under the influence of external fields is of practical and fundamental importance. Simulation methods in general, and mesoscopic hydrodynamic methods in particular, have shown to be powerful tools for the investigation of soft matter systems since both direct interactions and solvent mediated interactions (hydrodynamic interactions) are taken into account. In this talk, I will present results obtained with one of these novel mesoscopic techniques. The systems under investigation are hard spherical and rod-like colloidal particles and polymers with various architectures. Our main interest is to understand the structural and transport properties induced by external fields such as temperature gradients, capillary or shear flows.