variavel0=Viviana Cocco Mariani - mariani@zipmail.com Universidade Federal de Santa Catarina Alvaro Toubes Prata - prata@nrva.ufsc.br Universidade Federal de Santa Catarina Abstract. In the present work a mixed Eulerian-Lagrangian method is described and applied to solve steady incompressible laminar isothermal flows in domains presenting irregular boundaries between fluid and solid. The governing equations are solved in fixed non-staggered grids. The irregular boundary between fluid and solid is treated explicitly by markers particles, using the cut-cell techniquel. The finite volume method is used in conjunction with a second order procedure to evaluate flows in the interfacial volumes. Accuracy and efficiency of the Eulerian-Lagrangian method is shown solving three representative problems. Keywords. Eulerian-Lagrangian methodology, lid-driven cavity, triangular cavity, radial diffuser, finite volume methodology.