Analysis of the finite difference method for CFD governing equations

This article explores the application features of the finite difference method for numerically solving governing equations in computational fluid dynamics (CFD), such as the Navier-Stokes equations. It presents fundamental concepts of the method, including the discretization of the spatial domain and the approximation within mesh nodes. The benefits of this method when dealing with regular grids and its ease of implementation are analyzed. Additionally, limitations are discussed, particularly in the context of complex geometries and irregular meshes. The results emphasize the need for a hybrid approach to enhance calculation accuracy and stability.