Scholarship 11/05172-9 - Análise numérica, Métodos numéricos - BV FAPESP
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Development of a High-order Method for Compressible Flows

Grant number: 11/05172-9
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Start date until: June 01, 2011
End date until: November 30, 2012
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:Maria Luísa Bambozzi de Oliveira
Grantee:Vitor Alves Pires
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The numerical simulation of high-speed turbulent compressible flows require special numerical techniques capable of calculating discrete spatial derivatives that can treat precisely shock waves and small-scale vortices. We plan to develop a high-order finite difference numerical method for structured grids capable of automatically adapting to the problem being solved, and validate it with its application to the 1D Euler equations.

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