Perpustakaan Digital ITB

Incompressible flow simulation around a solid obstacle of arbitrary shape is one of the most important problems in aerodynamics. Traditional methods such as finite difference methods, finite volume methods, and finite element methods require significant effort in mesh generation. Body fitted mesh generation can be difficult and time-consuming and good quality of the mesh is required to obtain an accurate solution. Mesh generation can be eliminated using meshless (particle) methods. Discretization corrected particle strength exchange (DC PSE) is a meshless method that can provide derivative approximation for regular and irregular particle distribution and does not require special treatment for particles located near boundaries. In this work, we utilize DC PSE operator to develop a multi-resolution particle method to perform 3D incompressible flow simulations in the Eulerian frame of reference. Multi-resolution particle distribution allows particles at different positions to have different resolutions. Simulations of 3D flows without multi-resolution particle distribution would require excessive number of computational resources and hence unpractical, especially for cases involving large gradients with far-field boundaries. In addition, we utilize Brinkman penalization method which also attempts to alleviate the difficult mesh generation process by introducing an additional penalization term in the governing equation instead of generating body-fitted mesh and directly specifying a condition on the fluid-solid interface. Simulation results of 3D lid driven cavity flow, flow over a stationary sphere, and flow over a transversely rotating sphere show good agreement with those presented in the literature.