Weakly nonlinear theory and sea state bias estimations

An Asymptotic Derivation of Weakly Nonlinear Ray Theory

Using a method of expansion similar to Chapman Enskog expansion, a new formal perturbation scheme based on high frequency approximation has been constructed. The scheme leads to an eikonal equation in which the leading order amplitude appears. The transport equation for the amplitude has been deduced with an error O(ǫ2) where ǫ is the small parameter appearing in the high frequency approximatio...

Rupture of thin liquid films: generalization of weakly nonlinear theory.

In this paper, we investigate the rupture dynamics of thin liquid films driven by intermolecular forces via weakly nonlinear bifurcation analysis. The dynamic equations governing slow dynamics of the perturbation amplitude of the near-critical mode corresponding to several models describing the evolution of thin liquid films in different physical situations appear to have the same structure. Wh...

Weakly nonlinear theory for the ablative Rayleigh-Taylor instability.

A weakly nonlinear model is proposed for the Rayleigh-Taylor instability in the presence of ablation and thermal transport. The second harmonic generation efficiency of a single-mode disturbance is computed, as well as the nonlinear correction to the exponential growth of the fundamental modulation. Mode coupling in the spectrum of a multimode disturbance is thoroughly analyzed. The ablative st...

Sea state bias in altimeter sea level estimates determined by combining wave model and satellite data

Non-parametric Sea-state Bias Models and Their Relevance to Sea Level Change Studies

The direct estimation of sea-state bias (SSB) from sea height residuals is extended with a parametric fitting process and a successive smoothing of the remaining residuals. This hybrid method essentially produces a nonparametric SSB model in the form of a smooth grid in a 2dimensional space determined by significant wave height and backscatter coefficient. The hybrid method allows a much higher...