Hydraulic parameters define the water retention, ?(?), and unsaturated hydraulic conductivity, K(?), functions. These functions are usually obtained by fitting experimental data using inverse modelling. The drawback of inverting is that they suffer from non-uniqueness optimal may not be physical. To reduce non-uniqueness, it necessary to invert simultaneously observations ?(?) ensure measuremen...

The Gaussian process model is an example of a flexible, probabilistic, nonparametric model with uncertainty predictions. It offers a range of advantages for modelling from data and has been therefore used also for dynamic systems identification. One of the noticeable drawbacks of the system identification with Gaussian process models is computation time necessary for modelling. The modelling pr...

This paper advocates a novel method for modelling physically realistic flow from captured incompressible gas sequence via modal analysis in frequency-constrained subspace. Our analytical tool is uniquely founded upon empirical mode decomposition (EMD) and modal reduction for fluids, which are seamlessly integrated towards a powerful, style-controllable flow modelling approach. We first extend E...

An attempt has been made to fit the derived equation on the experimental inverse relaxation curves by employing Levenberg-Marquardt’s method for nonlinear regression and calculation of the constant values involved in the equation. The relaxation curves can be classified into ordinary relaxation, mixed relaxation and inverse relaxation curves. There seems to be good concurrence between the exper...

This paper presents an approach to approximate the forward and inverse dynamic behaviours of a magnetorheological (MR) damper using evolving radial basis function (RBF) networks. Due to the highly nonlinear characteristics of MR dampers, modelling of MR dampers becomes a very important problem to their applications. In this paper, an alternative representation of the MR damper in terms of evolv...

The problem of estimating unobserved states of spatially extended dynamical systems poses an inverse problem, which can be solved approximately by a recently developed variant of Kalman filtering; in order to provide the model of the dynamics with more flexibility with respect to space and time, we suggest to combine the concept of GARCH modelling of covariance, well known in econometrics, with...

Abstract. We model an electrified droplet spreading a solid surface. The model aims to seek a drop shape minimizing its total energy (capillary, electrostatic and gravitational). We derive the equations and the shape gradient, then detail the shape optimization algorithm and present some numerical results. Up to a critical applied voltage value, the computed angles fit the predictions of Lippma...