Numerical Performance of Higher-Order Semicompact Scheme for Arbitrary Triangular Cavity Flow

Abstract EN

An efficient fourth-order semicompact finite difference scheme has been developed to solve steady incompressible Navier-Stokes (N-S) equations in stream function and vorticity formulation in a triangular cavity of arbitrary geometry.

The governing equations are transformed into curvilinear coordinates by a simple linear transformation to handle the nonregular geometry of the problem.

The main feature of the new higher-order semicompact scheme is that it can calculate a triangle flow with arbitrary shape for high Reynolds numbers.

It is found that the solutions obtained with the present scheme are in good agreement with the analytical results or with the existing results depending on the availability.