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Flow Simulations with an Accelerated Version of the Spectral Difference Method

Author(s):
dos Santos, Tiara Martini ; Moreira, Fabio Mallaco ; Azevedo, Joao Luiz F. ; Martinez, Jose Mario
Total Authors: 4
Document type: Journal article
Source: AIAA AVIATION 2020 FORUM; v. N/A, p. 21-pg., 2020-01-01.
Abstract

The present work discusses an efficient use of a high-order spectral difference (SD) method for the simulation of compressible flows. Flows of interest are assumed to be adequately modeled by the two-dimensional Euler equations. The use of a quasi-Newton strategy for accelerating the convergence of fixed-point iterations is analyzed. For that, a classical secant update is considered. Validation test cases for high-order curved geometry representations for several orders of accuracy of the SD method are addressed in order to demonstrate the capability implemented. Moreover, the results in the paper demonstrate that the quasi-Newton acceleration is an interesting tool to improve the performance of numerical methods based on the fixed-point paradigm. (AU)

FAPESP's process: 12/10444-0 - A new integrated software for nonlinear systems
Grantee:Tiara Martini dos Santos
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC