A pseudospectral method for the solution of the two-dimensional Navier- Stokes equations in the primitive variable formulation
A pseudospectral method was developed for the solution of the Navier- Stokes equations for incompressible flows in the primitive-variable formulation. The method employs Chebyshev expansion methods in order to generate approximations to the momentum and pressure equations and utilizes a well-known fractional time-step procedure in obtaining a solution to these equations. Results for the buoyancy-driven flow in a square enclosure with nonisothermal vertical and insulated horizontal walls are represented. The proposed method is easy to implement and can accurately reproduce the physics of the flow under consideration from transient to steady state.
scientific article; zbMATH DE number 3970297