Analyses of Turbulence in the Neutrally and Stably by Cedrick Ansorge

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By Cedrick Ansorge

This thesis offers a research of robust stratification and turbulence cave in within the planetary boundary layer, starting a brand new road during this box. it's the first paintings to review all regimes of stratified turbulence in a unified simulation framework and not using a holiday within the paradigms for illustration of turbulence.

To date, advances in our figuring out and the parameterization of turbulence within the strong boundary layer were hampered by way of problems simulating the strongly stratified regime, and the research has essentially been in response to box measurements. The content material awarded the following adjustments that paradigm via demonstrating the power of direct numerical simulation to handle this challenge, and via doing so as to get rid of the uncertainty of turbulence versions from the research. utilizing a stably stratified Ekman layer as a simplified actual version of the solid boundary layer, the 3 stratification regimes saw in nature— weakly, intermediately and strongly stratified—are reproduced, and the knowledge is hence used to reply to key, long-standing questions.

The major a part of the ebook is equipped in 3 sections, specifically a complete advent, numerics, and physics. The thesis ends with a transparent and concise end that distills particular implications for the learn of the good boundary layer. This constitution emphasizes the actual effects, yet while provides relevance to the technical facets of numerical schemes and post-processing instruments. the choice of the correct literature through the advent, and its use alongside the paintings effectively combines literature from learn groups: fluid dynamics, and boundary-layer meteorology.

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2006). Mathematical geophysics, volume 32 of Oxford Lecture Series in Mathematics and its Applications. Oxford: Clarendon Press. 24 2 Problem Formulation and Tools Corrsin, S. (1943). Investigations in an axially symmetrical heated jet of air. Report WR W-94. Washington, DC: National Advisory Committee for Aeronautics. , & Kistler, A. L. (1955). Free-stream boundaries of turbulent flows. Technical Report TR1244-3133. Washington DC: John Hopkins University. 1088/1468-5248/5/1/013. , & Beckers, J.

C. (1994). Atmospheric boundary layer flows: Their structure and measurement. Oxford University Press. , & Riley, J. J. (2011). Analysis of turbulence colapse in the stably stratified surface layer using direct numerical simulation. Boundary-Layer Meteorology, 139(2), 241–259. 1007/ s10546-011-9588-2. Gowers, T. W. (2000). The importance of mathematics. In: Millenium Meeting. Paris. Ivey, G. , Winters, K. , & Koseff, J. R. (2008). Density stratification, turbulence, but how much mixing? Annual Review of Fluid Mechanics, 40(1), 169–184.

There, also the numerical dissipation and dispersion for the explicit and semi-implicit integration of the above problem is shown. e. 87. 14) This is required purely for stability of the algorithm. The upper panel of Fig. 2 characterizes integration errors of the advection. 4 Stability of the SIRK3 Scheme 39 Fig. 2 Numerical dissipation (left) and dispersion (right) per time step τ for the explicit (upper panel) and semi-implicit (lower panel) integration. The dark red and blue areas indicate regions in which the errors are less than 1 % (red negative/damping, blue positive/amplification).

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