On Wed, Dec 4, 2013 at 4:34 PM, Kirk, Benjamin (JSC-EG311) < benjamin.k...@nasa.gov> wrote:
> You're talking about a norm for quantifying solution accuracy, not an > estimator for use in AMR, correct? > My intent is to use an estimator for AMR, but for my current study I am choosing to use a reference solution calculated on a very fine mesh. So, in case of such a reference solution (or if an exact solution is available), a norm to quantify solution accuracy would be same as estimator for AMR. Correct? How would you distinguish between the two? > > This gets complicated by the mixed nature of the stabilized approximation > (1st order at the shock), but C.Roy et al had a good paper looking at these > issues > http://www.dept.aoe.vt.edu/~cjroy/Journal-Articles/jceap.verification.pdf > > One idea could be to use Roy S.'s subdomain approach equipped with a shock > sensor - look at the convergence in the entire domain, and also in the > "smooth" regions (Omega where the shock sensor is not active.) > > Thanks for the reference, Ben! > > On Dec 4, 2013, at 2:38 PM, Manav Bhatia <bhatiama...@gmail.com> wrote: > > > Hi, > > > > I am writing to seek advice on type of error norm to be used for > > refinement studies. > > > > My application is compressible Euler flow, so shock will appear in > > the computational domain. Is the L2 norm of density variable, compared > with > > a reference solution (obtained on a very fine mesh), better or worse than > > an H1-seminorm on density? Should some other type of norm be considered? > > How about Kelly's error estimator? > > > > Any comments from those with experience would be greatly appreciated. > > > > Thanks, > > Manav > > > ------------------------------------------------------------------------------ > > Sponsored by Intel(R) XDK > > Develop, test and display web and hybrid apps with a single code base. > > Download it for free now! > > > http://pubads.g.doubleclick.net/gampad/clk?id=111408631&iu=/4140/ostg.clktrk > > _______________________________________________ > > Libmesh-users mailing list > > Libmesh-users@lists.sourceforge.net > > https://lists.sourceforge.net/lists/listinfo/libmesh-users > > ------------------------------------------------------------------------------ Sponsored by Intel(R) XDK Develop, test and display web and hybrid apps with a single code base. Download it for free now! http://pubads.g.doubleclick.net/gampad/clk?id=111408631&iu=/4140/ostg.clktrk _______________________________________________ Libmesh-users mailing list Libmesh-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/libmesh-users
