Abstract
Many methods to solve incompressible flow field have been developed so far. The scheme proposed by Kuwahara employs the third-order upwind scheme for the convective term, the second-order central scheme for diffusive term with orthogonal uniform mesh. In this scheme, it is easy to reconstruct complex objects into a calculation region because mesh is uniform. However, grid points can not be distributed around objects effectively. Hence, it's difficult to solve the flow field in boundary layers and so on. Building-Cube method (BCM) is one of adaptive mesh generation systems, which is orthogonal uniform mesh locally and unstructured mesh globally. It is also one of domain decomposition methods. On the mesh generated by this mesh system, the most grid points can be mapped near objects and a higher order scheme e.g. third-order upwind scheme, can be applied. In this presentation, incompressible Navier-Stokes equations are solved with the third-order upwind scheme on the mesh generated by BCM. And some calculation results are shown.
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