<div class="gmail_quote">On Fri, Apr 6, 2012 at 22:20, Matthew Knepley <span dir="ltr"><<a href="mailto:knepley@mcs.anl.gov">knepley@mcs.anl.gov</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div>Can't you also do WENO reconstruction on an FEM solution?</div></blockquote><div><br></div><div>It's much less natural and rarely done in practice.</div><div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div class="im"><div></div></div><div>Okay, that was not how it was explained to me. Is it like a Laplacian filer (which would sharpen edges)? I don't see how this would reduce oscillation,</div><div>although I guess it could result from the solve for the conservation requirement.</div>
</blockquote></div><br><div>Look at the algorithm, it is a discrete interface sharpening filter.</div><div><br></div><div><a href="http://www.agu.org/pubs/crossref/1993/92JB02858.shtml">http://www.agu.org/pubs/crossref/1993/92JB02858.shtml</a></div>
<div><br></div><div>It clips values that are greater than 1 or less than 0, tracking the maximum over/undershoot. Values inside the bounds of that over/undershoot are then pressed out to 1 and 0 respectively. Then the remaining conservation error is distributed to all cells that are not identically 0 or 1. I don't see any way that this is sensible for thermodynamics.</div>