Application of the hierarchical functions expansion method for the solution of the two dimensional navier-stokes equations for compressible fluids in high velocity
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Energy and Power Engineering
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Resumo
This work presents a new application for the Hierarchical Function Expansion
Method for the solution of the Navier-Stokes equations for compressible fluids
in two dimensions and in high velocity. This method is based on the finite
elements method using the Petrov-Galerkin formulation, know as SUPG (Streamline
Upwind Petrov-Galerkin), applied with the expansion of the variables
into hierarchical functions. To test and validate the numerical method proposed
as well as the computational program developed simulations are performed
for some cases whose theoretical solutions are known. These cases are
the following: continuity test, stability and convergence test, temperature step
problem, and several oblique shocks. The objective of the last cases is basically
to verify the capture of the shock wave by the method developed. The results
obtained in the simulations with the proposed method were good both qualitatively
and quantitatively when compared with the theoretical solutions. This
allows concluding that the objectives of this work are reached.
Como referenciar
CONTI, THADEU das N.; CABRAL, EDUARDO L.L.; SABUNDJIAN, GAIANE. Application of the hierarchical functions expansion method for the solution of the two dimensional navier-stokes equations for compressible fluids in high velocity. Energy and Power Engineering, v. 9, n. 2, 2017. DOI: 10.4236/epe.2017.92007. Disponível em: http://repositorio.ipen.br/handle/123456789/27842. Acesso em: 30 Dec 2025.
Esta referência é gerada automaticamente de acordo com as normas do estilo IPEN/SP (ABNT NBR 6023) e recomenda-se uma verificação final e ajustes caso necessário.