Abstract
Cartesian grid method has higher availability for product design of actual problems at the early stages of the development process. Simple block approximation of a shape is of great stability at the grid generation. In this case, the arbitrary patterns of wall elements appear in the computational domain where adequate pressure and velocity boundary condition should be employed. In this paper, an efficient and robust implementation of boundary condition, which is build into the discretized scheme of the equations, is proposed. This method effectively eliminates the difficulties of the reference point that has multiple values of pressure and velocity. As a validation, incompressible flows in opposed ducts, which are separated by a single wall element, was calculated using this method. Comparing with the simple but inaccurate implementation of boundary conditions, the proposed method shows more accurate results. In addition, several geometrically severe test cases are performed for single cell obstacle and narrow flow channel. Finally, it was found that present method has desirable properties to solve flows around complex geometries as a first order analysis.
