Hello, There is a term that I don’t understand in this webpage on discretization schemes for the Navier-Stokes equations. See the line We subtract the equation for \bf u^\ast from the equation for \bf u^n to obtain [...] = - \nabla(p^{n-1/2}-p^\ast). The equation for \bf u^n contains p^{n+1/2…

The first equation should contain p^{n-1/2} not p^{n+1/2}, thus p^*=p^{n-3/2} would be the common choice. Please note that issues with the tutorial should rather be addressed at: Sign in to GitHub · GitHub .

[image] dokken: s p^=p^{n-3/2}p∗=pn−3/2p^=p^{n-3/2} would be the common choice. Is this because the sentence We start by selecting a p^\ast such that p^\ast=𝑝^{𝑛+1/2}+𝑂(\delta t) should be replaced by We start by selecting a p^\ast such that p^\ast=𝑝^{𝑛-1/2}+𝑂(\delta t) ?

[image] dokken: p^=p^{n-3/2}p∗=pn−3/2p^=p^{n-3/2} Also, is p^{n-3/2} defined as (p^{n-2}+p^{n-1})/2?

Yes, that would be the idea. I’ve now updated the webpage to reflect this.

Typo in Oasisx splitting scheme webpage?

General

mekong May 8, 2024, 1:31pm 4

Also, is p^{n-3/2} defined as (p^{n-2}+p^{n-1})/2?

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Typo in Oasisx splitting scheme webpage?

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