# Shallow water equations with DifferentialEquations.jl

**URL:** <https://discourse.julialang.org/t/shallow-water-equations-with-differentialequations-jl/2691>\
**Category:** Numerics\
**Tags:** question, diffeq\
**Created:** [March 15, 2017, 11:01pm UTC](https://discourse.julialang.org/t/shallow-water-equations-with-differentialequations-jl/2691 "2017-03-15T23:01:46Z")\
**Posts on this page:** 3\
**Page:** 2

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**Author:** ![aramirezreyes](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/aramirezreyes/32/42573_2.png) [@aramirezreyes](https://discourse.julialang.org/u/aramirezreyes)\
**Post date:** [May 23, 2019, 9:09pm UTC](https://discourse.julialang.org/t/shallow-water-equations-with-differentialequations-jl/2691/21 "2019-05-23T21:09:33Z")

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Thanks @ChrisRackauckas and @dlfivefifty.

Is there a reason for a Pseudo Spectral method to be a good choice for the Shallow Water equations or is this only one of many choices?

I will be thankful for receiving a reference!

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**Author:** ![dlfivefifty](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/dlfivefifty/32/1959_2.png) [@dlfivefifty](https://discourse.julialang.org/u/dlfivefifty)\
**Post date:** [May 23, 2019, 10:00pm UTC](https://discourse.julialang.org/t/shallow-water-equations-with-differentialequations-jl/2691/22 "2019-05-23T22:00:12Z")

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Everything in is one of many chances. But spectral methods tend to cope well with turbulence. For what it’s worth, the European Midrange Weather Forecast agency use a spherical harmonic code for their simulations.

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**Author:** ![John\_Gibson](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/john_gibson/32/5321_2.png) [@John\_Gibson](https://discourse.julialang.org/u/John_Gibson)\
**Post date:** [May 24, 2019, 12:31am UTC](https://discourse.julialang.org/t/shallow-water-equations-with-differentialequations-jl/2691/23 "2019-05-24T00:31:41Z")

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If your geometry and boundary conditions allow them, nothing beats the convergence rate of spectral methods.

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