| Summary: | 碩士 === 逢甲大學 === 水利工程與資源保育研究所 === 96 === We present a numerical method using an immersed boundary method for solving flow field around a circular cylinder near a plane wall. Immersed boundary method could deal with irregular boundary effectively, and it did not need grid generation technique. So that we can solve the flow problem using finite difference method with a Cartesian-Grid system.
We slove two-dimensional incompressible Navier–Stokes equations with a virtual force term. Pressure term solved by Pressure correction method, and that similitude Projection method which to derive the pressure Poisson equation, then the continuity equation satisfy automatically. We can solve the velocity of the Navier–Stokes equations by explicit Adams-Bashforth scheme, when the pressure be solved. The backward-facing step flow problem was used to test the accuracy of immersed boundary method. We find that the simulation result of Pressure correction method approximated experiment result better than Projection method, and it can reduce the value of the continuous equation effectively. Then investigation of flow around a circular cylinder near a plane wall. To observe flow filed at different Reynolds numbers and different gaps between cylinder and plane wall. The result compares with reference that Roughly agrees in the change of the whole trend.
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