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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Order of Accuracy Study of Unstructured Grid Finite Volume Upwind Schemes

Texto completo
Autor(es):
Azevedo, Joao Luiz F. [1] ; Figueira da Silva, Luis F. [2] ; Strauss, Daniel [3]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] IAE, BR-12228903 Sao Jose Dos Campos, SP - Brazil
[2] Pontificia Univ Catolica Rio de Janeiro, BR-22453900 Rio De Janeiro - Brazil
[3] Univ Sao Paulo, Escola Politecn, BR-05424970 Sao Paulo - Brazil
Número total de Afiliações: 3
Tipo de documento: Artigo Científico
Fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 32, n. 1, p. 78-93, JAN-MAR 2010.
Citações Web of Science: 4
Resumo

A detailed numerical study is presented of the order of accuracy of some proposed cell centered, finite volume schemes used for the solution of the 2-D gasdynamic equations on triangular unstructured grids. The schemes studied are based on a MUSCL-type linear reconstruction of interface properties, which seeks to achieve 2nd-order accuracy in space. They are also nominally flux-vector splitting-type schemes, and the results here presented use Liou's AUSM+ algorithm. The basic aspects effecting the scheme's order of accuracy are the form in which the reconstruction process is designed and the form in which the limiting process is pet formed. Two basic concepts are tested with regard to the reconstruction process, namely the use of 1-D-type and gradient-based reconstruction. The limiter can also be constructed as a 1-D-type limiter or as a truly multi-dimensional limiter. The schemes are tested on a linear convection-like model equation and the numerical solutions are compared to the analytical solution, for different mesh sizes, in order to assess the scheme's order of accuracy. For comparison purposes, the results obtained with a centered scheme are also presented. Second-order accuracy is shown to be only obtained for the centered scheme. The nominally 2nd-order upwind algorithms lead to actual orders of accuracy, which vary from 0.9 to 1.5. (AU)

Processo FAPESP: 04/16064-9 - Mecânica dos fluídos não estacionária: aplicações em aeronáutica e em reologia
Beneficiário:José Alberto Cuminato
Linha de fomento: Auxílio à Pesquisa - Temático