Numerical simulation of upwinding schemes applied to complex fluid dynamics equations

Autor(es)

Candezano, M. A. C. ^[1] ; Correa, L. ^[2] ; Cirilo, E. R. ^[3] ; de Queiroz, R. A. B. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Atlantico, Dept Matemat, Barranquilla - Colombia

^[2] Fundacao Univ Fed Grande Dourados, Fac Ciencias Exatas & Tecnol, Dept Matemat, Dourados, MS - Brazil

^[3] Univ Estadual Londrina, Dept Matemat, Londrina, PR - Brazil

^[4] Univ Fed Juiz de Fora, Inst Ciencias Exatas, Dept Ciencia Comp, Juiz De Fora, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 41, n. 10 OCT 2019.
• Citações Web of Science: 0

Resumo

In this work, the nonlinear Euler equations of gas dynamics are employed for a comparative study of the frequently used flux limiters, namely: the consecrated ARORA-ROE, van Albada, CUBISTA and ADBQUICKEST; and two rational functions TVD-CBC-based TOPUS and SDPUS-C1 schemes. The comparison is mainly done in terms of their abilities in resolving discontinuities, reproducing complex flow phenomena and accuracy. It is concluded that both TOPUS and SDPUS-C1 can be considered as alternative tools for computer simulations of fluid flow. As application, the corresponding SDPUS-C1 scheme is employed to simulate 2D/3D incompressible flows with moving free surfaces. (AU)

• Processo FAPESP: 10/16865-2 - Simulação de grandes escalas de escoamentos incompressíveis turbulentos envolvendo superfícies livres móveis
• Beneficiário: Laís Corrêa
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 06/05910-1 - Simulacao computacional das equacoes de navier stokes incompressiveis em qualquer regime do numero de reynolds.
• Beneficiário: Rafael Alves Bonfim de Queiroz
• Modalidade de apoio: Bolsas no Brasil - Mestrado