ARYA is a CFD solver that is currently tested on a canonical lid-driven cavity flow (`sliding lid') problem on a uniform mesh using a finite-volume method with a first order upwind advection scheme. The sliding lid is shown in Figure 1. Momentum is diffused from the slip wall and eventually forms a large vortex that settles in the domain, and as the Reynolds number increases, secondary vortices form at the bottom corners. The solver uses a Semi-Implicit Method for Pressure Linked Equations (SIMPLE) approach. Equations on the 2D grid are solved using an alternating direction implicit (ADI) method, solving implicitly in one dimension at a given time, resulting in a tridiagonal system of equations that scales favorably with grid size.

Figure 1: Sliding lid configuration.