Closed tamiko closed 3 months ago
Rarefaction test with the following modified configuration:
subsection F - HyperbolicModule subsection indicator set evc factor = 0 end subsection limiter set relaxation factor = 8 end end
Gives the following:
dG Q0: #dofs L1 error L2 error Linf error ------- ----------- ---- ----------- ---- ------------ ---- 480 0.00036784 0.00114338 0.00744729 960 0.000152845 1.27 0.000578076 0.98 0.0043167 0.79 1920 6.02823e-05 1.34 0.000293923 0.98 0.00294078 0.55 3840 2.45248e-05 1.3 0.000148139 0.99 0.0017988 0.71 7680 9.78767e-06 1.33 7.45329e-05 0.99 0.00114078 0.66 15360 3.96989e-06 1.3 3.74914e-05 0.99 0.000726011 0.65 dG Q1: #dofs L1 error L2 error Linf error ------- ----------- ---- ----------- ---- ------------ ---- 480 0.000121355 0.000595037 0.00657075 960 3.34748e-05 1.86 0.000195041 1.61 0.00230066 1.51 1920 1.08239e-05 1.63 8.25699e-05 1.24 0.00113458 1.02 3840 3.63697e-06 1.57 3.82027e-05 1.11 0.000833202 0.45 7680 1.2732e-06 1.51 1.76683e-05 1.11 0.000503623 0.73 15360 4.37014e-07 1.54 7.88767e-06 1.16 0.000266896 0.92 dG Q2: #dofs L1 error L2 error Linf error ------- ----------- ---- ----------- ---- ------------ ---- 480 0.000121463 0.000403639 0.00281927 960 3.98714e-05 1.61 0.000184564 1.13 0.00210431 0.42 1920 1.42045e-05 1.49 7.35847e-05 1.33 0.00122835 0.78 3840 4.31629e-06 1.72 2.82562e-05 1.38 0.000694897 0.82 7680 1.54158e-06 1.49 1.18576e-05 1.25 0.000366999 0.92 15360 4.65581e-07 1.73 4.63454e-06 1.36 0.000191473 0.94 dG Q3: #dofs L1 error L2 error Linf error ------- ----------- ---- ----------- ---- ------------ ---- 480 8.83567e-05 0.000370671 0.00376933 960 2.80144e-05 1.66 0.000163161 1.18 0.00206618 0.87 1920 9.96338e-06 1.49 8.18881e-05 0.99 0.0012367 0.74 3840 2.65668e-06 1.91 2.88573e-05 1.5 0.000583785 1.08 7680 8.94486e-07 1.57 1.32047e-05 1.13 0.00028733 1.02 15360 2.19311e-07 2.03 4.50773e-06 1.55 0.000142231 1.01
For reference, continuous finite elements with the same configuration give:
cG Q1: #dofs L1 error L2 error Linf error ------- ----------- ---- ----------- ---- ------------ ---- 481 7.98885e-05 0.000314489 0.00373006 961 2.20354e-05 1.86 0.000136469 1.2 0.00217014 0.78 1921 6.99139e-06 1.66 5.15182e-05 1.41 0.000847452 1.36 3841 2.08835e-06 1.74 2.32012e-05 1.15 0.000579166 0.55 7681 7.05225e-07 1.57 1.02818e-05 1.17 0.000315929 0.87 15361 2.22717e-07 1.66 4.67195e-06 1.14 0.000214816 0.56
Rarefaction test with the following modified configuration:
Gives the following:
For reference, continuous finite elements with the same configuration give: