page_title: Filter (large eddy simulation)
section_title: Box filter
hierarchical_section_title: Filter (large eddy simulation) / Classic large eddy simulation filters / Box filter
caption_attribution_description: English: Gaussian filter in physical and spectral space
context_page_description: Filtering in the context of large eddy simulation is a mathematical operation intended to remove a range of small scales from the solution to the Navier-Stokes equations. Because the principal difficulty in simulating turbulent flows comes from the wide range of length and time scales, this operation makes turbulent flow simulation cheaper by reducing the range of scales that must be resolved. The LES filter operation is low-pass, meaning it filters out the scales associated with high frequencies.
context_section_description: The filter kernel in physical space is given by:
  The filter kernel in spectral space is given by:
caption: Gaussian filter in physical and spectral space
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