Correcting viscous effects in Euler equations solution in transonic and non-stationary regimes

• Grant number: 07/06573-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2007
• End date: November 30, 2008
• Field of knowledge: Engineering - Aerospace Engineering - Aerodynamics
• Principal Investigator: Paulo Celso Greco Júnior
• Grantee: Andre Maurice Halal Lombardi
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The objective of the proposed study is the integration between a method for the correction of viscous effects and a computational code for the solution of the bidimensional Euler Equations for unsteady transonic flows, both developed in previous researches and available for our work. In transonic flows, the interaction between shock wave and boundary layer may have a significant influence on the pressure distribution. The analysis of this interaction aims mainly at aeroelastic phenomena like flutter, limit cycle oscillations and vibration control. We use an integral method for the viscous correction in which the calculation of the boundary layer is based on the velocity field of the inviscid flow. After obtaining the displacement thickness, the inviscid flow velocity is updated and this process is repeated until convergence is achieved for each time instant. The efficiency of the computational simulations will be evaluated by comparison with published experimental results of the pressure distribution in cases in which there is a significant interaction between shock and boundary layer.