From: Matthias Maier Date: Tue, 30 Jun 2020 20:44:02 +0000 (-0500) Subject: examples/step-69: Link in repository for higher-order code X-Git-Tag: v9.3.0-rc1~1340^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=refs%2Fpull%2F10640%2Fhead;p=dealii.git examples/step-69: Link in repository for higher-order code --- diff --git a/examples/step-69/doc/intro.dox b/examples/step-69/doc/intro.dox index 1fa6873e3a..4cd6c2fb9f 100644 --- a/examples/step-69/doc/intro.dox +++ b/examples/step-69/doc/intro.dox @@ -17,9 +17,11 @@ maximum wavespeed method based on a first-order graph viscosity for solving Euler's equations of gas dynamics @cite GuermondPopov2016. As such it is presented primarily for educational purposes. For actual research computations you might want to consider exploring a corresponding -high-performance implementation of a second-order accurate scheme that uses -convex limiting techniques, and strong stability-preserving (SSP) -time integration, see @cite GuermondEtAl2018. +high-performance +implementation of a second-order accurate scheme that uses convex +limiting techniques, and strong stability-preserving (SSP) time +integration, see @cite GuermondEtAl2018 +(website). @dealiiTutorialDOI{10.5281/zenodo.3698223,https://zenodo.org/badge/DOI/10.5281/zenodo.3698223.svg} diff --git a/examples/step-69/doc/results.dox b/examples/step-69/doc/results.dox index 995b4f290a..e7c81aaabe 100644 --- a/examples/step-69/doc/results.dox +++ b/examples/step-69/doc/results.dox @@ -99,7 +99,8 @@ freedom in 2D. An animated schlieren plot of the solution looks as follows: It is evident that 37k gridpoints for the first-order method is nowhere near the resolution needed to resolve any flow features. For comparison, here is a "reference" computation with a second-order method and about 9.5M -gridpoints: +gridpoints (github +project page): @@ -162,11 +163,12 @@ discussed above. The pictures above illustrate how much diffusion that introduces and how far the solution is from one that actually resolves the features we care about. -This can be fixed, but it would exceed what a *tutorial* is -about. Nevertheless, it is worth showing what one can achieve by -adding a second-order scheme. For example, here is a video that shows -(with a different color scheme) a 2d simulation that corresponds to -the cases shown above: +This can be fixed, but it would exceed what a *tutorial* is about. +Nevertheless, it is worth showing what one can achieve by adding a +second-order scheme. For example, here is a video computed with the following research code +that shows (with a different color scheme) a 2d simulation that corresponds +to the cases shown above: @htmlonly