Initial tests 17 for the GCR (balanced variable)
This page is repeated in both frames to allow comparison between figures.
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
Characteristics of this test:
- RHS PV is raw data.
- Normal mode / grid hybrid PV - no orthogonalisation between mode 1 and mode 2.
- The first guess is streamfunction after vertical regression (Gp).
- Diagonal preconditioning.
- 5000 iterations (restart 5).
- Mass weighted inner product for GCR coefficients.
- Data location /export/custard/disk-01/ross/PV_Results/GCR_Test/PV/RevisedTest/Hybrid_NoOrthogs_5000
Notes about the plots on this page:
- For each variable, horizontal (long/lat) and vertical (lat/eta) plots are shown.
- For PV variables the extra modes are shown in addition.
- For the horizonal plots, the level is L30 (eta=0.445).
- For the vertical plots, the longitude slice is Greenwich meridian.
- Each field (except for the PV modes) is decomposed into large horiz/small vert (left) and small horiz/large vert (right) scales.
- The plots show the max, min, and mean (calculated by the plotter).
- Plots of balanced pressure have been shown without density scaling in the linear balance equation (to allow us to see the vertical structure). This is for diagnostic purposes only - the actual density scaled pressures are used in the calculations.
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
1. The raw pressure perturbation (ref: p)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
2. The raw theta perturbation - hydrostatic balance with 1 (ref: Theta_p)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
3. The raw vorticity perturbation (ref: Vort)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
4. The raw streamfunction perturbation (ref: psi)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
5. The pressure in balance with 4. (ref: Gp)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
6. The theta in hydrostatic balance with 5. (ref: Theta_Gp)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
7. The PV calculated from 4. and 5. (ref: PV)
Horizontal plots at L30
Vertical plots at Greenwich meridian
PV modes
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
8. The filtered streamfunction perturbation (ref: psi_filt)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
9. The pressure in balance with 8. (ref: filtered_Gp)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
10. The theta in hydrostatic balance with 9. (ref: filtered_Theta)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
11. The PV calculated from 8. and 9. (ref: filtered_PV)
Horizontal plots at L30
Vertical plots at Greenwich meridian
PV modes
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
12. The PV calculated from raw data (ref: PV_RHS)
Horizontal plots at L30
Vertical plots at Greenwich meridian
PV modes
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
13. The 'solution' streamfunction perturbation (ref: Solution)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
14. The pressure in balance with 13. (ref: final_Gp)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
15. The potential temperature in balance with 14. (ref: final_Theta)
Horizontal plots at L30
Vertical plots at Greenwich meridian
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
16. The PV calculated from 13. and 14. (ref: final_PV)
Horizontal plots at L30
Vertical plots at Greenwich meridian
PV modes
Jump to:
1(p)
2(theta_p)
3(Vort)
4(psi)
5(Gp)
6(theta_Gp)
7(PV)
8(psi_filt)
9(filtered_Gp)
10(filtered_theta)
11(filtered_PV)
12(PV_RHS)
13(Solution)
14(final_Gp)
15(final_theta)
16(final_PV)
Convergence
The convergence (Error norm vs total iteration)
Please note that the first 500 iterations only are shown as there is no further visible reduction in the error norm for the rest of the 25000 iterations.
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