Grids deliver to scientists and researchers an incredible amount of resources geographically spread but often, the lack of accessible and communicative interfaces appears to be a restricting factor for many standard users. The objective of this paper is to present a Biomedical application, based on an incompressible Navier-Stokes code, running on a grid environment which requires the integration of multidisciplinary tools and methods to achieve a high level of performance. The idea is to help doctors and surgeons to establish efficiently their diagnosis by simulating blood flows close to real time and therefore, to ensure better therapy for patients. Moreover, Biomedical applications necessitate many computational resources and are very known to be time-consuming. As a matter of fact, our approach is based on parallel distributed numerical methods which relies on the proper combination of three techniques that are the L2 penalty method to deal with complex geometry, a level set method to detect the geometry and a fast domain decomposition solver. A central computer unit has been built to be used as a easy gateway to access the diverse resources remotely, to perform the needed computations and finally, to visualize the simulation in three dimensional space.