A novel body fitted numerical method with Cartesian coordinates for solving incompressible viscous fluid flow problems is studied.This method takes advantage of Cartesian coordinat and reserves irregular control volumes near boundaries,so this scheme is full body fitted method.It is different from all other Cartesian grid methods.To test the accuracy of this approach,it is applied to two benchmark cases.Agreement is found with analytical,numerical benchmark,and STAR-CD results.The flow field around a 2-D blunt body is simulated which is quite similar to that of STAR-CD.All these show that this method is validated and can also be used for simulating complex flow phenomena.