Immersed boundary method for the simulation of lid-driven cavity flow with an embedded cylinder

We present the numerical simulation of lid-driven cavity flow with an embedded cylinder by using a modified implicit immersed boundary method. The immersed boundary method features the non body-conforming mesh merit, which facilitates the simulation with complex geometry in a flow. The paper compares the numerical solutions between the modified implicit immersed boundary method with the traditional bodyconforming mesh method as well as the results in the literature, which shows an excellent agreement.