Transonic Flow Simulation Around the Pitching Airfoil with Accurate Pressure-Based Algorithm

Faghihi Ar

doi:10.4172/2168-9792.1000112

Abstract

A new pressure based implicit procedure to solve the Euler and Navier-Stokes equations is developed to predict transonic viscous and inviscid flowsaround the pitching airfoil with high resolution scheme. In this process, nonorthogonal and non moving mesh with collocated finite volume formulation areused. In order to simulate pitching airfoil, oscillation of flow boundary condition is applied. The boundedness criteria for this procedure are determined from Normalized Variable Diagram (NVD) scheme. The procedure incorporates the k - e eddy-viscosity turbulence model. In the new algorithm, the computation time is considerably reduced. This process is tested for inviscid and turbulent transonic aerodynamic flows around pitching airfoil.The results are compared with other existing numerical solutions and with experiment data. The comparisons show that the resolution quality of the developed algorithm is considerable.

Highlights

In the field of Computational Fluid Dynamics (CFD), there are two categories of numerical methods for simulating moving boundary flow problems
The method of conventional field velocity is usually used to calculate the indicial response by incorporating unsteady flow conditions via grid movement in CFD simulations
The boundedness criteria for this procedure are determined from Normalized Variable Diagram (NVD) scheme

Summary

Introduction

In the field of Computational Fluid Dynamics (CFD), there are two categories of numerical methods for simulating moving boundary flow problems. One is the moving grid method [1], which constantly updates the grid according to the position of object. The major limitation of moving grid method is the regeneration of mesh at every time step, which may consume much time and reduce computational efficiency. To overcome this drawback, a pseudo grid-deformation. Received April 30, 201; Accepted June 20, 2013; Published June 28, 2013. J Aeronaut Aerospace Eng ISSN: 2168-9792 JAAE, an open access journal A time dependence study illustrates that a smooth and accurate solution in time requires the consistent evaluation of time metrics in order to satisfy the geometric constitutive law Sitaraman et al [9]

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