Semi-Idealized Study on Estimation of Partly and Fully Space Varying Open Boundary Conditions for Tidal Models

Table 3

Error statistics for SEa 1.2–7.2 and SEb 1.2–7.2.

Exp.	𝐾^a1	𝐾^a2	𝐾^a3		𝐾^a4 (m)
			Before	After	Before	After
Inversion strategy 1
SEa 1.2	2	0.10	5096.1191	17.4292	0.3500	0.0011
SEa 2.2	6	0.10	4329.9121	14.4080	0.3332	0.0013
SEa 3.2	10	0.10	4621.0439	15.3755	0.3055	0.0115
SEa 4.2	14	0.10	4041.4563	12.8185	0.3121	0.0132
SEa 5.2	18	0.10	3633.7822	13.0238	0.3014	0.0438
SEa 6.2	22	0.10	3388.0535	11.9751	0.3066	0.0540
SEa 7.2	26	0.10	3861.5273	13.5251	0.3124	0.0753
Inversion strategy 2
SEb 1.2	2	0.10	5096.1191	16.7203	0.3500	0.0343
SEb 2.2	6	0.10	4329.9121	13.8206	0.3332	0.0340
SEb 3.2	10	0.10	4621.0439	14.4797	0.3055	0.0456
SEb 4.2	14	0.10	4041.4563	12.1758	0.3121	0.0485
SEb 5.2	18	0.10	3633.7822	11.9745	0.3014	0.0645
SEb 6.2	22	0.10	3388.0535	11.4183	0.3066	0.0846
SEb 7.2	26	0.10	3861.5273	12.1905	0.3124	0.0902

^a𝐾₁ is the number of feature points for PDs 1–7 prescribed in semi-idealized experiments. 𝐾₂ is the value of maximum percentage error. 𝐾₃ is the data misfit before and after assimilation. 𝐾₄ is the mean absolute difference between prescribed and inverted Fourier coefficients.