Abstarct: In this study, an incorporation of Lattice Boltzmann with Immersed Boundary Method (IB-LBM) is used to simulate flow in vicinity of solid boundaries. baxsed on earlier authors reports, in this study, for ascending of the solutions accuracy, the split-forcing method is taken into account in LB algorithm (split-forcing LBM). To analyze elastic body behavior which is immersed in fluid, a Lattice Spring Model (LSM) is used. In this numerical method, an elastic body is considered as a network of massless Hookean springs that connect regularly spaced mass points. In this study, for the first time, the hybrid implicit algorithm is proposed for combination of IB-LBM with LSM to reduce existing limitation in selection of time step and lattice spring length. Verification of the combined method is applied by some experimental and numerical works. For this purpose, the drag coefficient and vortex length for flow overs a flat plate and Poisson’s ration, stretch length and bending length for cantilever are compared with earlier results. In the results section, several problems are studied which the most imperative of them including (1) examination of drag and lift coefficients and deformation behavior at steady and unsteady conditions for an elastic flat plate in presence of the flow and (2) two particles behavior in shear flow at two types of rigid and deformable body. In the latest session of this study, a valid and powerful method is reported which is entixtled Discrete Element Method (DEM) to simulate collision of two rigid particles. In addition, in this method, friction and restitution coefficient in collision are considered. In this study, for the first time, we represent the hybrid IB-LB-DE method to growth analysis of particulate flow ability. To check above method, drafting-Kissing- Tumbling (DKT) phenomena in sedimentation of two particles are compared with other works. In the results session, at first, particulate flow across the deformable plate is studied and then, we simulate stenosis channel. In this section, we will show what stenosis has devastating effects on neighbor deformable leaflets. In fact, with increasing the fluid velocity in guttural region, submerged particles velocity is also increased and it causes more pressure force to elastic obstacle. The ascending the pressure in obstacle wall increases value of bending and reopens the flow path.