| Full text | |
| Author(s): |
Carlos Junqueira-Junior
[1]
;
Leonardo Costa Scalabrin
[2]
;
Edson Basso
[3]
;
João Luiz F. Azevedo
[4]
Total Authors: 4
|
| Affiliation: | [1] Instituto Tecnológico de Aeronáutica - Brasil
[2] EMBRAER S.A. - Brasil
[3] Instituto de Aeronáutica e Espaço - Brasil
[4] Instituto de Aeronáutica e Espaço - Brasil
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | J. Aerosp. Technol. Manag.; v. 6, n. 3, p. 267-280, 2014-09-00. |
| Abstract | |
ABSTRACT: The work is a study of conservation on linearization techniques of time-marching schemes for the unstructured finite volume Reynolds-averaged Navier-Stokes formulation. The solver used in this work calculates the numerical flux applying an upwind discretization based on the flux vector splitting scheme. This numerical treatment results in a very large sparse linear system. The direct solution of this full implicit linear system is very expensive and, in most cases, impractical. There are several numerical approaches which are commonly used by the scientific community to treat sparse linear systems, and the point-implicit integration was selected in the present case. However, numerical approaches to solve implicit linear systems can be non-conservative in time, even for formulations which are conservative by construction, as the finite volume techniques. Moreover, there are physical problems which strongly demand conservative schemes in order to achieve the correct numerical solution. The work presents results of numerical simulations to evaluate the conservation of implicit and explicit time-marching methods and discusses numerical requirements that can help avoiding such non-conservation issues. (AU) | |
| FAPESP's process: | 13/21535-0 - Simulation of large scales and aeroacoustics of perfectly expanded supersonic jets |
| Grantee: | Sami Yamouni |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |