... Publishing Limited Licensed re-use rights only Boundary element method Isogeometric formulation Droplet Microchannel Droplets appear in many industrial and biological applications and play a vital role in the end-properties of immiscible polymer blends (Lee and Park, 1994). For example...

...Tomasz Janusz Teleszewski Purpose The purpose of this paper is to apply the boundary element method (BEM) to Stokes flow between eccentric rotating cylinders, considering the case when viscous dissipation plays a significant role and determining the Nusselt number as a function of cylinder...

... the boundary element method (BEM). Design/methodology/approach Both the wall heating case and the wall cooling case are considered. Applying the velocity profile obtained for the duct laminar flow and the energy equation with the viscous dissipation term is solved exactly for the constant wall heat flux...

... field action. The boundary element method is applied to solve the coupled problem connected with the heating of biological tissues. Findings The aim of investigations is to determine an electric potential of external electrodes and the number of nanoparticles introduced to a tumor region to obtain...

...Krishna M. Singh; Masataka Tanaka This paper presents an application of the dual reciprocity boundary element method (DRBEM) to transient advection‐diffusion problems. Radial basis functions and augmented thin plate splines (TPS) have been used as coordinate functions in DRBEM approximation...

...N.S. Mera; L. Elliott; D.B. Ingham; D. Lesnic In this paper, various regularization methods are numerically implemented using the boundary element method (BEM) in order to solve the Cauchy steady‐state heat conduction problem in an anisotropic medium. The convergence and the stability...

... coefficients. The proposed algorithms make use of the boundary element method, with cubic boundary elements and Bezier splines employed for modelling the interface between the solid and liquid phases. A case study of continuous casting of copper is solved to demonstrate the main features of the proposed...

...Nam Mai‐Duy; Thanh Tran‐Cong This paper is concerned with the application of radial basis function networks (RBFNs) as interpolation functions for all boundary values in the boundary element method (BEM) for the numerical solution of heat transfer problems. The quality of the estimate of boundary...

...*(z,x,t_l, t_l – Δt) = u*(z,x,Δt, 0). © MCB UP Limited 2000 Boundary element method Heat transfer Numerical solutions The boundary element method (BEM) is a numerical method for the solution...

...Bozidar Sarler; Jure Mencinger The axisymmetric steady‐state convective‐diffusive thermal field problem associated with direct‐chill, semi‐continuously cast billets has been solved using the dual reciprocity boundary element method. The solution is based on a formulation which incorporates the one...

...Michael M. Grigor’ev The paper gives the description of boundary element method( BEM ) with subdomains for the solution of convection—diffusion equations with variable coefficients and Burgers’equations. At first, the whole domain is discretized into K subdomains, in which linearization...

... for processing the results of the heat conduction analysis into a form suitable for the MRM. Numerical results are included which validate the present technique. © MCB UP Limited 1993 Multiple reciprocity method Transient thermoelasticity Boundary element method INT. J. NUM. METH. HEAT FLUID FLOW...

... conduction Boundary element method INT. J. NUM. METH. HEAT FLUID FLOW, VOL. 3, 4 9 - 6 2 (1993) USE OF ISOTROPIC FUNDAMENTAL SOLUTIONS FOR HEAT CONDUCTION IN ANISOTROPIC MEDIA M. M. PEREZ* AND L. C. WROBEL Wessex Institute of Technology, University of Portsmouth, Ashurst Lodge, Ashurst, Southampton S04...

... the mathematical problem to be described in terms of boundary values only. Numerical results show that the BEM does not present oscillations or damping of the wave front as appear in other numerical techniques. © MCB UP Limited 1991 Boundary element method Convection‐diffusion problems INT. J. NUM...