Inversion of Tidal Open Boundary Conditions of the M2 Constituent in the Bohai and Yellow Seas

Pan, Haidong; Zheng, Guo; Lv, Xianqing

doi:10.1175/jtech-d-16-0238.1

Cited by 34 publications

(26 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…But different from NS_TIDE, equation is solved with the IP scheme (Guo et al, ; Lu & Zhang, ; Pan et al, ; Zhang et al, ). The basic idea of the IP scheme is very simple: see Figure for example.…”

Section: Performance Of Different Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Exploration of Tidal‐Fluvial Interaction in the Columbia River Estuary Using S_TIDE

Pan

Wang

et al. 2018

JGR Oceans

Self Cite

View full text Add to dashboard Cite

Numerous tidal phenomena, including river tides, internal tides, and tides in ice-covered bay, are nonstationary, which pose a great challenge for traditional tidal analysis methods. Based on the independent point scheme and cubic spline interpolation, a new approach, namely the enhanced harmonic analysis, is developed to deal with nonstationary tides. A MATLAB toolbox, S_TIDE, developed from the widely used T_TIDE, is used to realize the approach. The efficiency of S_TIDE is validated by analyzing a set of hourly water level observations from stations on the lower Columbia River. In all stations, the hindcast of S_TIDE is more accurate than NS_TIDE that is a powerful nonstationary tidal analysis tool adapted to river tides. The changing mean water level and tidal constituent properties obtained by S_TIDE are similar to those obtained by NS_TIDE, continuous wavelet transform, and empirical mode decomposition and highly consistent with theory on river tides. Moreover, different from NS_TIDE that only can be applied to river tides, enhanced harmonic analysis is free of dynamic content, assuming only known tidal frequencies. Therefore, S_TIDE can be applied to all kinds of nonstationary tides theoretically. Though powerful, S_TIDE also has some limitations: S_TIDE cannot be used for prediction and too many independent points in S_TIDE may induce computational memory overflow and unrealistic results.Plain Language Summary Based on the independent point scheme and cubic spline interpolation, a new approach, enhanced harmonic analysis, was developed to deal with nonstationary tides. Enhanced harmonic analysis is realized by a MATLAB toolbox, S_TIDE, which is developed from the widely used T_TIDE. S_TIDE assumes only known tidal frequencies and theoretically can be applied to all kinds of nonstationary tides and stationary tides. In this study, S_TIDE is applied to analyzing records of river rides that is one of the simplest kinds of nonstationary tides for which ample data are available. The method is compared with other methods to show its efficiency.

show abstract

Section: Performance Of Different Methodsmentioning

confidence: 99%

“…The cubic spline interpolation is widely implemented due to its stable, convergent, and smooth characteristics (Huang et al, ; Malik et al, ; Pan et al, ). Therefore, it is adopted in the present scheme.…”

Section: Performance Of Different Methodsmentioning

confidence: 99%

Exploration of Tidal‐Fluvial Interaction in the Columbia River Estuary Using S_TIDE

Pan

Wang

et al. 2018

JGR Oceans

Self Cite

View full text Add to dashboard Cite

show abstract

“…On the contrary, the surface spline interpolation (SSI) has a better performance in producing a smooth curved surface and it has a wide range of applications (Guo et al, 2017;Pan et al, 2017). Perrin et al (1987) applied the SSI to mapping scalp potentials and the comparison with linear interpolation showed that result of the spline method is smoother and gives more precisely local extrema.…”

Section: Introductionmentioning

confidence: 99%

Improvement of the ocean pollutant transport model by using the surface spline interpolation

Zong

Xu³

et al. 2018

Tellus A: Dynamic Meteorology and Oceanography

Self Cite

View full text Add to dashboard Cite

The independent point scheme (IPS) is applied to inverting initial condition with the adjoint method for the ocean pollutant transport model in this work. As an improvement, the linear Cressman interpolation is removed and the surface spline interpolation is implemented in the IPS. A series of numerical experiments are carried out to test and compare the improved IPS. And experiment results show that through applying the improved IPS, what is further reduced is mean absolute errors between simulation results and observations. Moreover, the inverted distributions are more smooth, accurate and reasonable. In addition, the application of improved IPS also reduces the variables that need to be inverted and promotes the computational efficiency. By these numerical experiment results, it is demonstrated that the combination of improved IPS and adjoint method can be used for the inversion of initial conditions and parameters estimation more effectively and reliably.

show abstract

“…In the study of Fan and Lv [11], SeaWiFS chlorophyll-a data were assimilated into a NPZD (Nutrient-PhytoplanktonZooplankton-Detritus) model by the adjoint method; Pan et 2 Advances in Mathematical Physics al. [12] studied the open boundary condition of the M 2 tidal constituent using the adjoint method of data assimilation with spline interpolation; Zhang et al [13] applied this method to study the similarities and the differences between the Ekman (linear) and the Quadratic (nonlinear) bottom friction parameters of a two-dimensional tidal model; and many other researches (Yu and O'Brien [14], Lawson et al [15], Zhao et al [16], Zhao and Lu [17], and Qi et al [18]) have also proven the validity and rationality of the adjoint method.…”

Section: Introductionmentioning

confidence: 99%

A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics

et al. 2018

Advances in Mathematical Physics

Self Cite

View full text Add to dashboard Cite

An adjoint method of data assimilation with the characteristic finite difference (CFD) scheme is applied to marine pollutant transport problems and the temporal and spatial distribution of marine pollutants are simulated. Numerical tests of twodimensional problems of pollutant transport with two different schemes indicate that the error of CFD is smaller than that of central difference scheme (CDS). Then the inversion experiments of the initial field and the source and sink terms of pollutants are carried out. Applying CFD in the adjoint method of data assimilation cannot only reduce simulation error to get a good inversion but can also enable larger time step size to decrease computation time and improve the calculation efficiency.

show abstract

Inversion of Tidal Open Boundary Conditions of the M2 Constituent in the Bohai and Yellow Seas

Cited by 34 publications

References 27 publications

Exploration of Tidal‐Fluvial Interaction in the Columbia River Estuary Using S_TIDE

Exploration of Tidal‐Fluvial Interaction in the Columbia River Estuary Using S_TIDE

Improvement of the ocean pollutant transport model by using the surface spline interpolation

A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics

Contact Info

Product

Resources

About