Implicit High-Order Spectral Finite Volume Method for Inviscid Compressible Flows

Author(s)

Breviglieri, Carlos ^[1] ; Azevedo, Joao Luis F. ^[2] ; Basso, Edson ^[2] ; Souza, Maximiliano A. F. ^[1]

Affiliation

^[1] Inst Tecnol Aeronaut, Dept Comp & Elect Engn, Dept Ciencia & Tecnol Aeroespacial, BR-12228900 Sao Paulo - Brazil

^[2] Inst Tecnol Aeronaut, Dept Ciencia & Tecnol Aeroespacial, BR-12228903 Sao Paulo - Brazil

• Document type: Journal article
• Source: AIAA JOURNAL; v. 48, n. 10, p. 2365-2376, OCT 2010.
• Web of Science Citations: 4

Abstract

The present work has the objective of demonstrating the capabilities of a spectral finite volume scheme implemented in a cell-centered finite volume context for unstructured meshes. The two-dimensional Euler equations are considered to represent the flows of interest. The spatial discretization scheme is developed to achieve high resolution for flow problems governed by hyperbolic conservation laws. Roe's flux difference splitting method is used as the numerical approximate Riemann solver. Several applications are performed in order to assess the method capability compared to data available in the literature and also compared to an weighted essentially nonoscillatory scheme. There is good agreement with the comparison data, and efficiency improvements over the weighted essentially nonoscillatory method are observed. The features of the present methodology include an implicit time- marching algorithm; second-, third-, and fourth-order spatial resolution; exact high-order domain boundary representation; and a hierarchical moment limiter to treat flow solution discontinuities. (AU)

• FAPESP's process: 04/16064-9 - Mechanics of non-stationary fluids: applications in aeronautics and rheology
• Grantee: José Alberto Cuminato
• Support type: Research Projects - Thematic Grants