Clawpack results for NCAR Benchmark

3. Transport Scheme

4. Results

4.1 Numerical convergence rates : Gaussian hills

conv-CLAW-un-gs-CFL0.95.dat

    3.000000      5.65839e-01      5.75607e-01
    1.500000      4.04397e-01      4.81569e-01
    0.750000      2.06064e-01      2.93164e-01
    0.375000      6.94662e-02      1.07191e-01
    0.187500      1.93500e-02      3.09628e-02
    0.093750      5.72179e-03      8.81991e-03

---

conv-CLAW-sp-gs-CFL0.95.dat

    3.000000      5.30073e-01      5.64210e-01
    1.500000      2.77313e-01      3.24941e-01
    0.750000      9.83552e-02      1.37264e-01
    0.375000      2.47144e-02      4.40165e-02
    0.187500      8.03807e-03      1.28511e-02
    0.093750      3.58440e-03      4.14425e-03

Convergence rates for Gaussian hills

CLAW   & 1.0     & 1.7         & 1.8           & 1.8         & 1.7

Note : We use N=320 for the minimal resolution in the shape preserving case, and N=480 in the unfiltered case.

4.2 Minimal resolution cosine bells

conv-CLAW-un-cbr-CFL0.95.dat

    3.000000      5.51596e-01      6.53696e-01
    1.500000      4.78092e-01      5.42753e-01
    0.750000      3.39679e-01      4.81308e-01
    0.375000      1.55890e-01      2.38079e-01
    0.187500      5.12136e-02      7.88296e-02
    0.093750      1.56016e-02      2.60692e-02

---

conv-CLAW-sp-cb-CFL0.95.dat

    3.000000      5.31379e-01      6.56001e-01
    1.500000      3.89954e-01      4.75146e-01
    0.750000      1.90717e-01      2.50207e-01
    0.375000      5.01513e-02      8.24015e-02
    0.187500      1.25366e-02      2.31665e-02
    0.093750      4.85587e-03      6.93453e-03

Minimal resolution computatation

CLAW   & un    & 1.0 & 0.1875^$\circ$ \\
CLAW   & sp    & 1.0 & 0.28125^\circ$ \\

Note : The N-effective we use in the unfiltered case is N=480, and in the shape preserving case is N=320.

 0.10   69.08
 0.15  155.64
 0.20  135.93
 0.25  132.98
 0.30  118.31
 0.35  106.99
 0.40   94.87
 0.45   77.20
 0.50   57.69
 0.55   40.12
 0.60   14.24
 0.65    1.76
 0.70    0.00
 0.75    0.00
 0.80    0.00
 0.85    0.00
 0.90    0.00
 0.95    0.00
 1.00    0.00

 0.10   63.72
 0.15  173.44
 0.20  143.94
 0.25  138.31
 0.30  126.64
 0.35  119.49
 0.40  106.43
 0.45   94.95
 0.50   73.88
 0.55   63.46
 0.60   45.10
 0.65   26.17
 0.70   12.94
 0.75    0.00
 0.80    0.00
 0.85    0.00
 0.90    0.00
 0.95    0.00
 1.00    0.00

 0.10   79.46
 0.15  115.79
 0.20  110.92
 0.25  108.87
 0.30  106.87
 0.35  105.50
 0.40  101.53
 0.45  100.62
 0.50   94.76
 0.55   89.70
 0.60   84.71
 0.65   78.14
 0.70   68.98
 0.75   57.87
 0.80   38.84
 0.85   10.16
 0.90    0.00
 0.95    0.00
 1.00    0.00

 0.10   62.77
 0.15  126.66
 0.20  117.73
 0.25  114.21
 0.30  111.26
 0.35  109.00
 0.40  104.79
 0.45  102.59
 0.50  101.40
 0.55   93.65
 0.60   88.36
 0.65   84.24
 0.70   75.25
 0.75   64.41
 0.80   50.00
 0.85   30.03
 0.90    7.98
 0.95    0.00
 1.00    0.00

 0.10   89.61
 0.15  101.40
 0.20  100.77
 0.25  100.15
 0.30  100.01
 0.35  100.11
 0.40  100.25
 0.45  100.21
 0.50   99.83
 0.55   99.58
 0.60   99.33
 0.65   98.34
 0.70   98.50
 0.75   98.60
 0.80   97.67
 0.85   96.40
 0.90   90.33
 0.95   68.18
 1.00    0.00

 0.10   77.30
 0.15  102.15
 0.20  100.58
 0.25  100.14
 0.30   99.75
 0.35   99.39
 0.40   99.47
 0.45   99.42
 0.50   99.34
 0.55   99.19
 0.60   99.44
 0.65   99.39
 0.70   99.50
 0.75   99.54
 0.80   99.66
 0.85  100.18
 0.90   99.36
 0.95   97.78
 1.00    0.00

Filament results

4.4 Rough distribution

rough-CLAW-table.tex.txt

CLAW & 1.5$^\circ$      & 0.95   &
5.22$ \times 10^{-1}$   &
7.70$ \times 10^{-1}$   &
1.60$ \times 10^{-1}$   &
-3.20$ \times 10^{-1}$  &
4.84$  \times 10^{-1}$  &
6.98$  \times 10^{-1}$  &
-1.71$ \times 10^{-1}$  &
-2.02$ \times 10^{-3}$ \\
%
CLAW & 0.75$^\circ$     & 0.95   &
4.45$  \times 10^{-1}$  &
9.25$  \times 10^{-1}$  &
2.46$  \times 10^{-1}$  &
-3.59$ \times 10^{-1}$  &
3.61$  \times 10^{-1}$  &
7.99$  \times 10^{-1}$  &
8.79$  \times 10^{-3}$  &
-4.46$ \times 10^{-3}$ \\
%
CLAW & 0.1875$^\circ$   & 0.95   &
2.73$  \times 10^{-1}$   &
9.86$  \times 10^{-1}$   &
3.48$  \times 10^{-1}$   &
-3.65$ \times 10^{-1}$   &   --  &   --   &   --  &  --  \\
%
CLAW & 0.28125$^\circ$  & 0.95   &    --  &   --  &  --   &  --  &
2.34$  \times 10^{-1}$  &
8.40$  \times 10^{-1}$  &
1.12$  \times 10^{-2}$  &
-7.79$ \times 10^{-3}$ \\

Contour data for the rough distribution (slotted cylinder) can be found here.

4.5 Mixing diagnostics

mix-CLAW-table.dat.txt

CLAW & 1.5$^\circ$ & 1.0 &
6.87$\times 10^{-3}$ &
2.89$\times 10^{-4}$ &
7.60$\times 10^{-3}$ &
6.15$\times 10^{-3}$ &
2.78$\times 10^{-6}$ &
3.59$\times 10^{-5}$\\
%
CLAW & 0.75$^\circ$ & 1.0 &
3.22$\times 10^{-3}$ &
5.28$\times 10^{-4}$ &
4.89$\times 10^{-4}$ &
2.31$\times 10^{-3}$ &
5.52$\times 10^{-6}$ &
3.53$\times 10^{-5}$\\
%
CLAW & 0.1875$^ \circ$ & 1.0 &
4.58$\times 10^ {-4}$ &
2.73$\times 10^ {-4}$ &
4.74$\times 10^ {-4}$ &
-- &
-- &
-- \\
%
CLAW & 0.28125$^\circ$ & 1.0 &
-- &
-- &
-- &
3.40$\times 10^ {-4}$ &
1.27$\times 10^ {-4}$ &
1.92$\times 10^ {-5}$\\

Mixing data for scatter plots, along with plots of mixing diagnostic can be found here

4.6 Divergent flow experiment

div-CLAW-table.tex.txt

CLAW & 1.5$^\circ$      & 0.95   &
3.98$ \times 10^{-1}$   &
5.13$ \times 10^{-1}$   &
-1.65$ \times 10^{-2}$   &
-2.15$ \times 10^{-1}$  &
3.76$  \times 10^{-1}$  &
4.94$  \times 10^{-1}$  &
-5.32$ \times 10^{-1}$  &
-4.39$ \times 10^{-4}$ \\
%
CLAW & 0.75$^\circ$     & 0.95   &
2.44$  \times 10^{-1}$  &
3.17$  \times 10^{-1}$  &
-5.29$  \times 10^{-2}$  &
-1.91$ \times 10^{-1}$  &
1.80$  \times 10^{-1}$  &
2.75$  \times 10^{-1}$  &
-2.85$  \times 10^{-3}$  &
-8.50$ \times 10^{-4}$ \\
%
CLAW & 0.1875$^\circ$   & 0.95   &
3.03$  \times 10^{-2}$   &
4.49$  \times 10^{-2}$   &
2.82$  \times 10^{-3}$   &
-4.05$ \times 10^{-2}$   &   --  &   --   &   --  &  --  \\
%
CLAW & 0.28125$^\circ$  & 0.95   &    --  &   --  &  --   &  --  &
2.65$  \times 10^{-2}$  &
5.93$  \times 10^{-2}$  &
-6.00$  \times 10^{-2}$  &
-1.06$ \times 10^{-3}$ \\

Contour data for the cosine bells (divergent winds) can be found here.