Traffic control is at the core of research in transportation engineering because it one best practices for reducing traffic congestion. It has been shown recent years that problem involving Lighthill-Whitham-Richards (LWR) model can be formulated as a Linear Programming (LP) given corresponding initial conditions and parameters fundamental diagram are fixed. However, uncertain when studying act...

The present paper presents the aeroacoustic calculation methodology for H-Darrieus wind turbine. CFD analysis, different turbine blades? angles of attack, coupled with noise based on Lighthill and Prudmann models is performed. This type particular interest since it insensitive to direction can be used in urban areas. In this study commercial software, ANSYS analysis. required turbulent flow fie...

The paper is concerned with the Lighthill-Whitham model of traffic flow, where the density of cars is described by a scalar conservation law. A cost functional is introduced, depending on the departure time and on the arrival time of each driver. Under natural assumptions, we prove the existence of a unique globally optimal solution, minimizing the total cost to all drivers. This solution conta...

Multi-species kinematic flow models lead to strongly coupled, nonlinear systems of first-order, spatially one-dimensional conservation laws. The number of unknowns (the concentrations of the species) may be arbitrarily high. Models of this class include a multi-species generalization of the Lighthill–Whitham–Richards traffic model and a model for the sedimentation of polydisperse suspensions. T...

We present estimates of the amplitudes of intrinsically stable stochastically excited radial oscillations in stars near the main sequence. The amplitudes are determined by the balance between acoustical energy generation by turbulent convection (the Lighthill mechanism) and linear damping. Convection is treated with a time-dependent, nonlocal, mixing-length model, which includes both convective...

Abstract. In this paper, we investigate a traffic model similar to the Lighthill–Whitham– Richards model, consisting of a hyperbolic conservation law with a discontinuous, non-convex, piecewise-linear flux. Using Dias and Figueira’s mollification framework, analytical solutions to the corresponding Riemann problem are derived. For certain initial data, these Riemann problems can generate zero w...

Traditionally, the Lighthill-Whitham-Richards (LWR) models for homogeneous and inhomogeneous roads have been analyzed in the flux-density space with the fundamental diagram of flux-density relation. In this paper, we present a new framework for analyzing the LWR model, especially the Riemann problem at a linear boundary in which the upstream and downstream links are homogeneous and initially ca...

This work introduces the novel concept of an influential subspace, with focus on its application to highway traffic containing connected vehicles. In this context, an influential subspace of a connected vehicle is defined as the region of a highway where the connected vehicle has the ability to positively influence the macrostate, i.e. the traffic jam, so as to dissipate it within a specified t...

The necessity for transportation research has been prompted by the exponential rise in vehicle use, research in the field has expanded and diversified accordingly. Despite substantial work having been carried out in Macroscopic modelling, the theory is far from complete [1]. The paper presents a hybrid model which combines the strengths of macroscopic models; the continuum method with forecasti...

This paper is an introduction to the special issue of the Journal of Engineering Mathematic (Volume 47/3–4, 2003) on the mathematical modelling of the cardiovascular system. This issue includes the 2003 James Lighthill Memorial Paper written by Pedley [1] on the mathematical modelling of arterial fluid dynamics. This introduction is written to bring cardiovascular biomechanics to readers with a...