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A new high-resolution upwind scheme for non stationary conservation equations dominated by convection

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Author(s):
Laís Corrêa
Total Authors: 1
Document type: Master's Dissertation
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Valdemir Garcia Ferreira; Harry Edmar Schulz; Leandro Franco de Souza
Advisor: Valdemir Garcia Ferreira
Abstract

Is this work a new practical high resolution upwinding scheme, called EPUS (Eight-degree Polynomial Upwind Scheme), for the numerical solution of transient convection-dominated conservation equations is present. The scheme is based on TVD stability criterion and is implemented in the context of the finite difference methodology. The performance of the scheme is investigated by solving hyperbolic systems of conservation laws and complex incompressible flows with free surfaces. The numerical results displayed good agreement with other existing numerical and experimental data (AU)

FAPESP's process: 08/07367-9 - A convection scheme for conservation laws with application in 3D incompressible flows involving moving free surfaces
Grantee:Laís Corrêa
Support Opportunities: Scholarships in Brazil - Master