Two straightforward methods for finding solitary-wave and soliton solutions are presented and applied to a variety of nonlinear partial differential equations. The first method is a simplied version of Hirota's method. It is shown to be an effective tool to explicitly construct. multi-soliton...

The tool of choice in computing turbulent flows of engineering interest is the Reynolds averaged Navier-Stokes equations for the mean motion, coupled with a closure scheme for the unknown higher-order turbulent correlations. The focus of this paper is to discuss some recent advances in turbulent...

A critical aspect of modelling water quality in lakes and reservoirs is to select a model with a spatial representation that is appropriate for the dominant mixing processes and the observed variation in water quality variables. One-dimensional modelling is frequently applied to small-to-medium...

This paper will demonstrate the role of surface and groundwater models as design, management, and predictive tools in salinity investigations. Groundwater flow and solute transport models have the ability to simulate a wide range of problems such as: the effects of groundwater extraction, and...

We present a Bayesian-validated surrogate framework which permits economical and reliable integration of large-scale simulations into engineering design and optimization. In the surrogate approach, the large-scale simulation is evoked only to construct and validate a simplified input-output...

The transport of sediment is an aggregated phenomenon reflecting the response of individual sediment particles to the surrounding fluid flow. Traditional modelling of sediment transport has concentrated on conceptualisations of either the overall behaviour (analogous to the thermodynamic...

Process control and principal component analysis of yeast fed-batch production is based on a computer model. The model is derived from intracellular reaction rates of key metabolic reactions during diauxillary growth, overall mass balances in reactor, and the PI regulation of the secondary...

There has been growing interest in studying the behaviour of stock returns over long and short horizons. Previous studies showed that while autocorrelations in returns usually are positive or close to zero over short horizons, they become negative over long horizons. In this article, we examine...