...Perumal Nithiarasu; Darrell W. Pepper; Xiuling Wang Purpose The purpose of this paper is to describe the development and employment of an hp‐adaptive finite element method (FEM) algorithm for solving heat transfer problems in partitioned enclosures, which has attracted the attention...

...H. Lai; Y.Y. Yan In this paper the effects of choosing dependent variables and cell face velocities on convergence of the SIMPLE algorithm are discussed. Using different velocity components as either dependent variables or cell‐face velocities, both convergent rate and calculation accuracy...

...N. Massarotti; P. Nithiarasu; O.C. Zienkiewicz Natural convection in porous medium‐fluid interface problems are numerically studied by using the characteristic based split (CBS) algorithm. The finite element method is used to solve the governing generalized porous medium equations. The accuracy...

...N. Massarotti; P. Nithiarasu; O.C. Zienkiewicz In our earlier papers we have presented a general algorithm for the solution of both compressible and incompressible Navier‐Stokes equations. The objective of the present work is to show the performance of this algorithm when it is used to solve...

...F.O. Gaa; M. Behnia; S. Leong; G.L. Morrison A numerical model of the inclined open thermosyphon has been developed using a finite difference algorithm to solve the vorticity vector potential form of the Navier‐Stokes equations. The model simulates flow in an inclined cylinder whose bottom end...

...S.E. Navti; R.W. Lewis; C. Taylor Methods used to track the free surface in numerical flow simulations, typically during the casting of metals into moulds are examined in this paper. The algorithm employed makes use of a mixed interpolation formulation to approximate the discretised governing...

...A. Berezovski Describes an extension of cellular automata to simulate heat conduction process. The offered algorithms is rather the tool for the direct simulation of a process than for the solution of partial differential equations. Its essential feature is the absence of any partial differential...

.... The W_a (and, of course, P_{a) are not necessarily continuous through the inter‐element boundaries. The variational formulation employed is: © MCB UP Limited 1997 Algorithms Incompressible flow Integration Navier‐Stokes equations Petrov‐Galerkin formulations Preconditioning}...