STUDY ON THE SPLITTING ALGORITHMSOF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS USING P1P1/P2P1 FINITE ELEMENT FORMULATION

P2P1/P1P1 유한요소 공식을 이용한 비압축성 Navier-Stokes 방정식의 분리 해법에 대한 연구

Splitting algorithms of the incompressible Navier-Stokes equations using P1P1/P2P1 finite element formulation are newly proposed. P1P1 formulation allocates velocity and pressure at the same nodes, while P2P1 formulation allocates pressure only at the vertex nodes and velocity at both the vertex and mid nodes. For comparison of the elapsed time and accuracy of the two methods, they have been applied to the well-known benchmark problems. The three cases chosen are the two-dimensional steady and unsteady flows around a fixed cylinder, decaying vortex, and impinging slot jet. It is shown that the proposed P2P1 semi-splitting method performs better than the conventional P1P1 splitting method in terms of both accuracy and computation time.