[CIG-MC] computation of div/v in CitcomS
Dan Bower
danb at gps.caltech.edu
Sat Mar 9 12:15:06 PST 2013
OK - thanks Shijie. In that case, I'll divide the output of
assemble_div_u() by the volume of each element to give me the divergence
for each element.
Thanks,
Dan
On Fri, Mar 8, 2013 at 3:13 PM, Shijie Zhong <shijie.zhong at colorado.edu>wrote:
>
> Eh did this change which I agree.
>
> In "temp += A[m][i] * A[m][i] / E->eco[m][i].area;",
>
> A[m][i] already had E->eco[m][i].area multiplied once, before
> global_div_norm2() call.
>
> Shijie
>
>
> Shijie Zhong, Professor
> Department of Physics
> University of Colorado at Boulder
> Boulder, CO 80309
> Tel: 303-735-5095; Fax: 303-492-7935
> Web: http://anquetil.colorado.edu/szhong
> ________________________________________
> From: cig-mc-bounces at geodynamics.org [cig-mc-bounces at geodynamics.org] On
> Behalf Of Dan Bower [dan at caltech.edu]
> Sent: Friday, March 08, 2013 3:06 PM
> To: cig-mc at geodynamics.org
> Subject: [CIG-MC] computation of div/v in CitcomS
>
> Hi CIG-MC,
>
> I don't understand global_div_norm2() in Global_operations.c in CitcomS.
>
> Why does the function divide by each element volume in the loop over caps
> and elements?
>
> temp += A[m][i] * A[m][i] / E->eco[m][i].area;
>
> Whereas, in other functions, such as global_p_norm2(), the expression is
> what I would expect:
>
> temp += P[m][i] * P[m][i] * E->eco[m][i].area;
>
> In both cases, the sums are divided by the mesh volume to give a
> volumetric average. Presumably assemble_div_u() in Element_calculations.c
> is computing the divergence for each element?
>
> Thanks,
>
> Dan
>
>
>
> +2008-10-29 23:22 tan2
> +
> + * lib/global_defs.h: (for r13196) Fixing convergence criterion for
> + Stokes solver.
> +
> + * New functions global_v_norm2(), global_p_norm2(),
> + global_div_norm2() compute the L2 norm of velocity, pressure, and
> + divergence. * The L2 norm of the vector f is defined as:
> + \sum_{all elements} ( \int_{element} (f*f dA) ) / A where A is
> + the volume of the domain. * The convergence criterion is
> + controlled by parameter "accuracy" under
> + "[CitcomS.solver.vsolver]". The iteration stops if
> + (norm(div(rho*V))/norm(V) < accuracy) or ( (norm(dV)/norm(V) <
> + accuracy) and (norm(dP)/norm(P) < accuracy) for the last two
> + iterations ) * The default value of "accuracy" becomes 1e-4. *
> + The input parameters "tole_compressibility" and
> + "relative_err_accuracy" under "[CitcomS.solver.vsolver]" are
> + gone. * The mass matrix E->MASS becomes double precision (was
> + single precision).
> _______________________________________________
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> CIG-MC at geodynamics.org
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>
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