Abstract: In this paper, an indirect boundary element method is used to give solution for surface as well as ground water bodies which are major nutrition fluids. The inviscid compressible flow (i.e., velocity distribution) over the surface of the joukowski aerofoil has been calculated with linear element approach using doublet distribution alone whereas in our previous research papers, we applied constant boundary element approach for this purpose. To check the accuracy of the method, the computed flow velocity is compared with the exact velocity. The comparison of these results has been given in the tables and graphs. It is found that the computed results are in good agreement with the analytical results.