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Yayın Two dimensional free surface flows past an obstacle(Maltepe Üniversitesi, 2019) Gasmi, AbdelkaderThe free surface problems can be defined as problems whose its mathematical formulation involves surfaces that are to be determined as part of the solution of the problem. This type of problems is characterized by the non-linear condition given by Bernoulli’s equation on its free boundary. Thus they are known in scientific literature as problems where the Eulerian description is more practical to model them mathematically. In this work, we try to give a mathematical formulation of two-dimensional free surface flow of inviscid and incompressible fluid considered past an obstacle, using analytical and numerical techniques based on the conformal mapping for reasons of simplification and find some approximate solutions.