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Lecture# Turbulence Simulation and Models

Description

This lecture covers the simulation and modeling of turbulence in engineering problems, focusing on tasks such as determining forces like drag and lift, and optimizing geometries. It introduces the use of Computational Fluid Dynamics (CFD) for computer simulations, discussing Direct Numerical Simulation (DNS) and the challenges of resolving all dynamically relevant scales. The lecture explores the application of Reynolds Averaged Navier-Stokes (RANS) equations, Large Eddy Simulation (LES), and various sub-grid models to tackle the closure problem and accurately represent turbulent dynamics at different spatial scales.

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Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.

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