Abstract
Higher-order elements are applied to GSMAC-FEM, i.e., a decoupled FEM that was developed from HSMAC method in FDM. And it is evaluated in terms of the accuracy, the memory capacity, and the convergence of simultaneous relaxation iteration in two-dimensional lid-driven cavity flow at Reynolds number 5000. We propose a new diagonal component method for the discretized Poisson equation, not assuming that the shape of element is quadrilateral and the interpolation function for pressure is constant in element. And we also propose a new simultaneous relaxation method of velocity and pressure under consideration of the satellite elements of a pressure node. The numerical method realized by these ideas does not lose the advantage of GSMAC-FEM. As the result combinations of the interpolation functions for velocity and pressure suitable to GSMAC-FEM are found.
