Um esquema upwind por partes baseado em curvas quadráticas de Bézier para discretização de termos convectivos

Pablo César Rojas Oviedo; Bernardo  Martins Rocha; Rafael Alves Bonfim de Queiroz

doi:10.14295/vetor.v33i2.16433

Authors

Pablo César Rojas Oviedo Universidade Federal de Juiz de Fora/ PPGMC
Bernardo Martins Rocha Departamento de Ciência da Computação, Universidade Federal de Juiz de Fora
Rafael Alves Bonfim de Queiroz Departamento de Computação, Universidade Federal de Ouro Preto https://orcid.org/0000-0002-3676-8914

DOI:

https://doi.org/10.14295/vetor.v33i2.16433

Keywords:

Fluid dynamics, Upwind, Convection, Normalized variable

Abstract

This work presents a new high-resolution upwind scheme built based on the concept of Bézier curves that satisfy critical stability criteria for the numerical solution of transport problems dominated by convection in computational fluid dynamics. The proposed scheme consists of a piecewise quadratic Bézier curve. The scheme is tested by solving linear advection problems and the viscous Burger problem. The results of these simulations suggest that the proposed scheme is an attractive alternative for problems dominated by convection.

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References

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