Showing papers in "Applied Mathematical Modelling in 1995"

TL;DR: An approximation model is presented to derive an approximation model for an open channel with backwater effects; the approximation model consists of functions that allow the application of effective control synthesis methods.

TL;DR: In this paper, the authors correct some misunderstandings that have appeared in the literature concerning the order of accuracy of the QUICK scheme for steady-state convective modeling and other related convection-diffusion schemes are also considered.

TL;DR: In this paper, a two dimensional finite volume (FV) approach to the solution of elastic / visco-plastic solid mechanics problems is described. The numerical procedure is an extension of that developed by Fryer et al for linear elastic materials and utilizes an unstructured mesh.

TL;DR: The fluxintegral method as mentioned in this paper is a single-step, forward-in-time, conservative, control volume update of the unsteady, multidimensional convection-diffusion equation.

TL;DR: In this paper, three point estimate methods (Rosenblueth's, Harr's, and a modified HARR's method) were evaluated for different numbers of random variables and different model types.

TL;DR: In this paper, the effect of a sliding lid on the flow and thermal structures in a shallow cavity is investigated and interesting flow features are predicted and include longitudinal circulations for certain flow conditions.

TL;DR: In this article, the singular integral theory of boundary element method (BEM) is applied to the problem of transient 1D and 2D nonlinear flows in unsaturated media.

TL;DR: In this paper, a higher-order, high-resolution finite-difference scheme for non-uniform grids is presented, derived rigorously from Taylor series expansion at nonuniform grid points with a total-variation-diminishing constraint applied.

TL;DR: In this paper, the interaction of an externally imposed magnetic and electric field on the laminar flow of a conducting fluid in a channel is studied using computational techniques, where the Navier-Stokes equations and the equations describing the electromagnetic field are solved simultaneously in a single control volume-type computational fluid dynamic code, in a moderate Hartmann number and interaction parameter regime.

TL;DR: In this paper, a mathematical model that describes the drying process was presented, which was simplified for the case of an isotropie porous material, was then numerically resolved using a cell-centered unstructured mesh control volume technique known as UM-CV.

TL;DR: An operational framework within which the concept of diversity is measurable is proposed, based on an interspecies dissimilarity index, and a series of progressively more efficient integer programming formulations with the objective of maximizing biological diversity under resource constraints are developed.

TL;DR: In this paper, the problem of hot spots in microwave heating of materials is discussed. And the authors propose a method to predict the condition under which hot spots arise so that their occurrence can be avoided or utilized.

TL;DR: This paper treats the phenomenon of learning on the finite production model, with the consideration of shortages, and concludes that the optimum operating inventory doctrine is obtained by trading off procurement cost per unit time, the inventory carrying cost unit per unitTime, as well as the shortage cost per units time.

TL;DR: In this article, the authors present the structure of a digital computer program that has been developed for the purpose of detecting turbo-machinery failure due to a transverse crack in the rotating shaft.

TL;DR: In this paper, a novel control volume-based finite difference method for solving the equilibrium equations in terms of displacements is presented, which is based on the widely used cv-FDM solution method of heat conduction and fluid flow problems.

TL;DR: In this paper, a generalized mathematical model of sloshing dynamics for dewar containers, partially filled with a liquid of cryogenic superfluid helium 2, driven by both gravity gradient and jitter accelerations applicable to two types of scientific spacecrafts, which are eligible to carry out spinning motion and/or slew motion to perform scientific observations during normal spacecraft operation.

TL;DR: In this paper, the authors deal with the minimization of the sum of absolute deviations (SAD) of job completion times from a common due date for the two-machine flow shop problem.

TL;DR: In this paper, a new representation of the causes of anoxia in hypertrophic lagoons is proposed; field measurements show that, in high concentrations of organic matter and high temperature, anoxic crises may be correlated either with the anaerobic mineralization phenomena in the sediment layer or with the turbulent characteristics of the hydrodynamic field produced by external influence.

TL;DR: A reliability approach to tunnel support design is presented in this article, which incorporates classical Level II techniques to the current design method based on the study of the ground-support interaction diagram.

TL;DR: In this paper, a new model was developed for the solidification heat transfer analysis of investment castings based on an approach that considers the geometric and solidification parameters that dominate the heat transfer and the sequence of solidification and takes into account the radiation heat losses from the mold surface.

TL;DR: In this paper, the performance of the state estimators designed using the pole-placement technique and the Kalman filtering technique (both time-varying and steady-state) were compared with the results obtained using a full state feedback controller.

TL;DR: In this paper, an integer programming approach is presented to model and solve the problem of refinery unit maintenance scheduling, which is to determine the schedule for preventive maintenance of refinery units over a specified operational planning horizon so that the unit utilization level is maximized and maintenance constraints are satisfied.

TL;DR: The concept of the optimal point estimate method (PEM) as discussed by the authors was introduced to handle correlated and nonskewed random variables in a probabilistic analysis, where the PEM replaces the probablistic distribution with a limited number of discrete points that match the distribution up to the third statistical moment.

TL;DR: In this article, the mean square response of a beam with artitrary boundary conditions under time-dependent stationary random excitation was investigated using the stochastic linearization technique.

TL;DR: In this paper, a simple model order reduction technique is proposed for z-transfer functions, which is based on approximate model matching in the frequency domain and the entire procedure is carried out in the z-domain and the resultant linear algebraic equations are solved to find the unknown parameters of the reduced-order model.

TL;DR: A set of efficient learning algorithms for recurrent neural networks (RNN) based on the quasi-Newton methods that estimate the inverse Hessian of an objective function from the gradient to enable Newton-like optimization algorithms to facilitate the nonlinear modelling of mechanical systems.

TL;DR: In this article, a contour integral is proposed for the evaluation of stress intensity factors, which utilizes the exact solution of a loaded crack in an infinite sheet as an auxiliary solution.

TL;DR: The application of stochastic multivariable identification to this field is described in detail, and practical advice is offered based on experience gained from applying the technique to an experimental office zone/air-conditioning system as mentioned in this paper.

TL;DR: In this paper, the authors present the computer-aided integration of solid modeling, optimization, and finite element analysis in the design of a plain milling cutter using 3D solid models.