Numerical Analysis of the Fully Discrete Finite Element Scheme for the Lighthill Acoustic Analogy and Estimating the Error in the Sound Power
نویسنده
چکیده
This paper gives rigorous numerical analysis of the error in prediction of aeroacoustic noise via Lighthill analogy. The first fundamental and intractable problem is to predict the sound power on surfaces. We give a full analysis of three methods of prediction. The second fundamental problem is the limited regularity of the underlying turbulent flow. This is handled herein by giving a negative norm error analysis which reduces the required regularity. We also give a comprehensive analysis of a fully discrete scheme including effects of the error coming into acoustic equation from the turbulent flow simulation.
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