A NEW APPROACH FOR SOLVING THE NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE FLOWS USING FOURIER COLLOCATION PSEUDO-SPECTRAL METHOD

Bruno Tadeu Pereira Jacob¹; Aristeu Silveira Neto¹

¹ Universidade Federal de Uberlandia

Resumo

The purpose of the present work is to expose a new methodology for solving the Navier-Stokes equations for compressible flows by using the pseudo-spectral Fourier collocation method, in the particular case of an isothermal and two-dimensional flow. Due to high values associated with the density gradient, spectral methods show several problems when solving this type of flow. Compressible flows are very important in several applications, such as turbomachinery and aerodynamics, and due to its importance, new methods for solving these equations are still being developed. Therefore, any contribution for this field is crucial for the development of new CFD methods.

Palavras-chave: Navier-Stokes equations; Compressible flow; Fourier collocation pseudo-spectral; CFD