Time domain numerical calculations of unsteady vortical flows about a flat plate airfoil

A time domain numerical scheme is developed to solve for the unsteady flow about a flat plate airfoil due to imposed upstream, small amplitude, transverse velocity perturbations. The governing equation for the resulting unsteady potential is a homogeneous, constant coefficient, convective wave equat...

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Veröffentlicht in:Journal of computational physics 1992-08, Vol.101 (2), p.419-430
Hauptverfasser: Hariharan, S.I, Ping, Yu, Scott, J.R
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Ping, Yu
Scott, J.R
description A time domain numerical scheme is developed to solve for the unsteady flow about a flat plate airfoil due to imposed upstream, small amplitude, transverse velocity perturbations. The governing equation for the resulting unsteady potential is a homogeneous, constant coefficient, convective wave equation. Accurate solution of the problem requires the development of approximate boundary conditions which correctly model the physics of the unsteady flow in the far field. An accurate far field boundary condition is developed, and numerical results are presented using this condition. The stability of the scheme is discussed, and the stability restriction for the scheme is established as a function of the Mach number. Finally, comparisons are made with the frequency domain calculations by Scott and Atassi, and the relative strengths and weaknesses of each approach are assessed.
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source ScienceDirect Journals (5 years ago - present); NASA Technical Reports Server
subjects Aerodynamics
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
title Time domain numerical calculations of unsteady vortical flows about a flat plate airfoil
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