Ramesh, V and Deshpande, SM (2006) Unsteady computations for flow past two oscillating airfoils. In: 9th Proceedings of AeSI CFD Symposium, 11-12 Aug 2006, Bangalore, India.
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Abstract
In this paper we present the work on the latest developments of a grid free method for computing13; inviscid unsteady flow past multiple moving bodies. Least Squares Kinetic Upwind Method (LSKUM)13; [3, 4] is a kinetic theory based grid free scheme for solving the inviscid compressible Euler equations of13; gas dynamics. LSKUM has been extended to applications with moving nodes (LSKUM MN) [8]. Spatially13; higher order accuracy is achieved (in LSKUM as well as LSKUM MN) using the two step defect13; correction method. In case of LSKUM MN, it has been shown that defect correction step necessitates13; the recalculation of moving fluxes [8, 9] at not only all the immediate neighbouring nodes (secondary13; nodes) but also at the neighbouring points of the secondary nodes. This leads to considerable increase13; in computational time. In the present work we propose to use the Modified CIR splitting (MCIR)13; [10, 11] to obtain spatially higher order accuracy in LSKUM MN. MCIR splitting is a method to13; achieve spatially higher order accuracy without using the two step defect correction method. Apart13; form the implementation of MCIR splitting in LSKUM MN, we have also adopted the weighted least13; squares approach based on Eigenvector basis [6]. In this approach the least squares approximations13; for all the derivatives reduce to an equivalent 1-D form. For the unsteady calculations we have used13; the well known dual stepping procedure [12].13; The present method has been validated for the AGARD [1] CT5 standard test case. This is the13; case of unsteady transonic flow past an oscillating NACA0012 airfoil. In order to demonstrate the13; power of the method to handle multiple oscillating bodies, we compute flow past an oscillating pair13; of NACA0012 airfoils, one behind the other.
Item Type: | Conference or Workshop Item (Paper) |
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Uncontrolled Keywords: | Computations;Oscillating airfoils;Euler equations;Eigenvector; Transonic flow;Kinetic upwind method |
Subjects: | ENGINEERING > Fluid Mechanics and Thermodynamics |
Depositing User: | M/S ICAST NAL |
Date Deposited: | 07 Dec 2006 |
Last Modified: | 24 May 2010 04:24 |
URI: | http://nal-ir.nal.res.in/id/eprint/3667 |
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