... 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Finite line method Upwind scheme Incompressible fluid Navier–Stokes equations Heat transfer National Natural Science Foundation of China 12072064 Introducing artificial...

...-extended Darcy model. Thermosolutal phenomena are governed by the Navier-Stokes equations and are solved by adopting a higher-order compact scheme. Findings The present study focuses on exploring the influence of several well-defined parameters, including Rayleigh number, Darcy number, Lewis number...

... 02 05 2023 03 05 2023 Energy stability Generalized positive auxiliary variable Heat transfer Navier–Stokes equations Unconditional stability Auxiliary variable In this paper, we consider the numerical approximations of the convective heat transfer equation, which...

... 2023 23 04 2023 © Emerald Publishing Limited 2023 Emerald Publishing Limited Licensed re-use rights only Heat and mass transfer Entropy generation Navier–Stokes equations Compact scheme Lid-driven Wavy chamber Thermosolutal convection The study of natural and mixed...

...E.J. Sellountos; Jorge Tiago; Adelia Sequeira Purpose This paper aims to describe the 2D meshless local boundary integral equation (LBIE) method for solving the Navier–Stokes equations. Design/methodology/approach The velocity–vorticity formulation is selected to eliminate the pressure...

...Kleber Marques Lisboa; Jian Su; Renato M. Cotta Purpose The purpose of this work is to revisit the integral transform solution of transient natural convection in differentially heated cavities considering a novel vector eigenfunction expansion for handling the Navier-Stokes equations...

...Erman Ulker; Sıla Ovgu Korkut; Mehmet Sorgun Purpose The purpose of this paper is to solve Navier–Stokes equations including the effects of temperature and inner pipe rotation for fully developed turbulent flow in eccentric annuli by using finite difference scheme with fixing non-linear terms...

...@latech.edu 23 12 2017 16 04 2018 17 05 2018 03 06 2018 © Emerald Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Convective heat transfer Navier-Stokes equations Heated rotating sphere Modal spectral element method Viscous heating...

...Guangzhi Du; Liyun Zuo Purpose The purpose of this paper is to propose a parallel partition of unity method (PPUM) to solve the nonstationary Navier-Stokes equations. Design/methodology/approach This paper opted for the nonstationary Navier-Stokes equations by using the finite element method...

... 2016 25 08 2016 20 10 2016 28 10 2016 © Emerald Publishing Limited 2017 Emerald Publishing Limited Licensed re-use rights only Cascade of profiles Existence of a weak solution Heat-conductive flow Large inflow Natural outlet boundary condition Navier-Stokes equations...

... versions of the QI procedure for the solution of incompressible Navier-Stokes equations. The paper aims to discuss these issues. Design/methodology/approach – In the proposed method, a local time stepping algorithm is utilised to accelerate the solution to steady state, while the transient solution...

...) to the second one. The rest of the nodes do not belong to any linelet. This set of decoupled tri‐diagonal equations allows a fast solution of the preconditioning equations by a direct method (e.g. via the Thomas Algorithm). © MCB UP Limited 2003 Navier‐Stokes equations Finite elements...

... an increasing degree of characteristics of chaos. © MCB UP Limited 2002 Numerical analysis Navier‐Stokes equations Fluid mechanics W=dimensional height and width of the enclosure, m L=width of the vertical and horizontal legs of the enclosure, m...

...Chain‐Nan Yung; Kenneth J. De Witt; Srikanth Subramanian; Abdollah A. Afjeh; Theo G. Keith Pulsatile flow of an incompressible, Newtonian fluid through a symmetric bifurcated rigid channel was numerically analysed by solving the three‐dimensional Navier‐Stokes equations. The upstream flow...

...A. Raji; M. Hasnaoui; Z. Zrikem Heat transfer by natural convection in a system formed by two and three cavities heated from below and covered by a cold plate is numerically studied using the Navier‐Stokes equations with the Boussinesq approximation. Presents results in terms of streamlines...

... 1997 Engineering Navier‐Stokes equations Stress The topic of this paper is the wall function influence on the results of computation of the wall shear stress produced by a normal impinging thin plane turbulent jet on a flat plate. This study is justified by the necessity to possess...

... of Rayleigh numbers. © MCB UP Limited 1997 Incompressible thermal flows Iterative schemes Navier‐Stokes equations Three‐dimensional problems Using the three‐dimensional iterative Navier‐Stokes‐Energy equations solver described in part I (Vol. 7 No. 4, pp. 297‐343), a series...

... MCB UP Limited 1997 Incompressible thermal flows Iterative schemes Natural convection Navier‐Stokes equations Three‐dimensional problems Numerical study of three- Numerical study of thermal flows dimensional incompressible thermal flows in complex geometries 297 Part I: theory...

... Incompressible flow Integration Navier‐Stokes equations Petrov‐Galerkin formulations Preconditioning http://venus.unl.edu.ar/gtm‐eng.html Solving flow problems in compressible or incompressible regimes has been, historically, a very different matter. There are mainly two difficulties associated...

...G.K. Despotis; S. Tsangaris The extrudate swell phenomenon is analysed by solving, simultaneously,the Navier‐Stokes equations along with the continuity equation by means of a finite volume method. In this work, the planar jet flows of incompressible viscous Newtonian and power‐law fluids...