FourierFlows / FourierFlows.jl

Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains
https://bit.ly/FourierFlows
MIT License
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Add more info about high-wavenumber filtering in `FilteredTimeSTeppers` #352

Closed navidcy closed 1 year ago

navidcy commented 1 year ago

We need to include include more information about the exponential filtering. E.g.,

cc @liasiegelman

liasiegelman commented 1 year ago

Just spotted a minor typo:

https://fourierflows.github.io/FourierFlowsDocumentation/previews/PR353/timestepping/

Given the order p, we calculate the coefficient α so that the the filter value that corresponds to the highest allowed wavenumber in our domain is a small value, δ, taken to be close to machine precision.

The appears twice in the above sentence (in bold).

On Fri, 7 Jul 2023 at 03:55, Navid C. Constantinou @.***> wrote:

We need to include include more information about the exponential filtering. E.g.,

  • what the exponentional filtering tries to achieve
  • how is the cutoff wavenumber computed
  • how is the coefficient exponent computed
  • refer to Arbic & Flierl 2003 (or possibly also to LaCasce 1996, Canuto et al. 1988) where this exponential wavenumber filtering originates

cc @liasiegelman https://github.com/liasiegelman

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