Multi-block technique applied to Navier-Stokes equations in two dimensions

Multi-block technique applied to Navier-Stokes equations in two dimensions

Authors

  • Jeferson Osmar de Almeida Universidade Federal Fluminense
  • Diomar Cesar Lobão Universidade Federal Fluminense
  • Cleyton Senior Stampa Universidade Federal Fluminense
  • Gustavo Benitez Alvarez Universidade Federal Fluminense http://orcid.org/0000-0002-2618-9513

DOI:

https://doi.org/10.5433/1679-0375.2018v39n2p115

Keywords:

Navier-Stokes equations, Generalized coordinates, Multi-block structured mesh, Explicit MacCormack method, Finite difference method

Abstract

In this work, numerical solutions of the two-dimensional Navier-Stokes and Euler equations using explicit MacCormack method on multi-block structured mesh are presented for steady state and unsteady state compressible fluid flows. The multi-block technique and generalized coordinate system are used to develop a numerical solver which can be applied for a large range of compressible flow problems on complex geometries without modifying the governing equations and numerical method. Besides that the numerical method is based on a finite difference approach and the generalized coordinates introduced allow the application of the boundary conditions easily. The subsonic flow over a backward facing step and supersonic flow over a curved ramp are presented, and the results are compared with the experimental and numerical data.

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Author Biographies

Jeferson Osmar de Almeida, Universidade Federal Fluminense

Me. em Modelagem Computacional em Ciência e Tecnologia, UFF, Volta Redonda, RJ

Diomar Cesar Lobão, Universidade Federal Fluminense

Dr. Prof. Depto. Ciências Exatas, UFF-EEIMVR, Volta Redonda, RJ,

Cleyton Senior Stampa, Universidade Federal Fluminense

Dr. Prof. Depto. Engenharia Mecânica, UFF-EEIMVR, Volta Redonda, RJ

Gustavo Benitez Alvarez, Universidade Federal Fluminense

Dr. Prof. Depto. Ciências Exatas, UFF-EEIMVR, Volta Redonda, RJ

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Published

2018-12-29

How to Cite

Almeida, J. O. de, Lobão, D. C., Stampa, C. S., & Alvarez, G. B. (2018). Multi-block technique applied to Navier-Stokes equations in two dimensions. Semina: Ciências Exatas E Tecnológicas, 39(2), 115–124. https://doi.org/10.5433/1679-0375.2018v39n2p115

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Original Article
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