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Which of these represent the Gaussian filter function?(a) \((\frac{\gamma}{\pi \Delta^2})^{\frac{3}{2}} exp(-\gamma \big|\vec x,\vec{x’}\big|)\)(b) \((\frac{\gamma}{\pi \Delta^2})^{\frac{3}{2}} exp(-\gamma \frac{\big|\vec x,\vec{x’}\big|}{\Delta})\)(c) \((\frac{\gamma}{\Delta^2})^{\frac{3}{2}} exp(-\gamma \frac{\big|\vec x,\vec{x’}\big|^2}{\Delta^2})\)(d) \((\frac{\gamma}{\pi \Delta^2})^{\frac{3}{2}} exp(-\gamma \frac{\big|\vec x,\vec{x’}\big|^2}{\Delta^2})\)This question was addressed to me in an online interview.This question is from Large Eddy Simulation for Turbulent Models topic in portion Turbulence Modelling of Computational Fluid Dynamics |
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Answer» Right answer is (d) \((\FRAC{\gamma}{\PI \Delta^2})^{\frac{3}{2}} exp(-\gamma \frac{\big|\vec x,\vec{x’}\big|^2}{\Delta^2})\) |
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