Solution to Navier-Stokes equations for turbulent channel flows
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Date
2020-01-10
Authors
Tian, Jing
Zhang, Bingsheng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we continue the work done in [11] for turbulent channel flows described by the Navier-Stokes and the Navier-Stokes-alpha equations. We study non-stationary solutions in special function spaces. In particular, we show the term representing the sum of pressure and potential is harmonic in the space variable. We find an optimal choice for the function class.
Description
Keywords
Navier-Stokes, Navier-Stokes-alpha, Channel flow, Turbulence
Citation
Tian, J., & Zhang, B. (2020). Solution to Navier-Stokes equations for turbulent channel flows. <i>Electronic Journal of Differential Equations, 2020</i>(05), pp. 1-18.
Rights
Attribution 4.0 International