Natural convection of air in a square cavity: A bench mark numerical solution Tập 3 Số 3 - Trang 249-264 - 1983
G. de Vahl Davis
AbstractDetails are given of the computational method used to obtain an accurate
solution of the equations describing two‐dimensional natural convection in a
square cavity with differentially heated side walls. Second‐order, central
difference approximations were used. Mesh refnement and extrapolation led to
solutions for 103⩽Ra⩽10 6 which are believed to be accurate to better than 1 per
cent at t... hiện toàn bộ
Reproducing kernel particle methods Tập 20 Số 8-9 - Trang 1081-1106 - 1995
Wing Kam Liu, Sukky Jun, Yi Fei Zhang
AbstractA new continuous reproducing kernel interpolation function which
explores the attractive features of the flexible time‐frequency and space‐wave
number localization of a window function is developed. This method is motivated
by the theory of wavelets and also has the desirable attributes of the recently
proposed smooth particle hydrodynamics (SPH) methods, moving least squares
methods (MLSM... hiện toàn bộ
High‐order CFD methods: current status and perspective Tập 72 Số 8 - Trang 811-845 - 2013
Z.J. Wang, Krzysztof Fidkowski, Rémi Abgrall, F. Bassi, Doru Caraeni, Andrew Cary, H. Deconinck, Ralf Hartmann, Koen Hillewaert, H. T. Huynh, Norbert Kroll, Georg May, Per‐Olof Persson, Bram van Leer, Miguel R. Visbal
SUMMARYAfter several years of planning, the 1st International Workshop on
High‐Order CFD Methods was successfully held in Nashville, Tennessee, on January
7–8, 2012, just before the 50th Aerospace Sciences Meeting. The American
Institute of Aeronautics and Astronautics, the Air Force Office of Scientific
Research, and the German Aerospace Center provided much needed support,
financial and moral. O... hiện toàn bộ
Curvature‐compensated convective transport: SMART, A new boundedness‐ preserving transport algorithm Tập 8 Số 6 - Trang 617-641 - 1988
Philip Gaskell, A. K. C. Lau
AbstractThe paper describes a new approach to approximating the convection term
found in typical steady‐state transport equations. A polynomial‐based
discretization scheme is constructed around a technique called ‘curvature
compensation’; the resultant curvature‐compensated convective transport
approximation is essentially third‐order accurate in regions of the solution
domain where the concept of... hiện toàn bộ
Natural convection in a square cavity: A comparison exercise Tập 3 Số 3 - Trang 227-248 - 1983
G. de Vahl Davis, I.P. Jones
AbstractA number of contributed solutions to the problem of laminar natural
convection in a square cavity have been compared with what is regarded as a
solution of high accuracy. The purposes of this exercise have been to confirm
the accuracy of the bench mark solution and to provide a basis for the
assessment of the various methods and computer codes used to obtain the
contributed solutions.
A coupled lattice BGK model for the Boussinesq equations Tập 39 Số 4 - Trang 325-342 - 2002
Zhaoli Guo, Baochang Shi, Chuguang Zheng
AbstractIn this paper, a thermal lattice BGK model is developed for the
Boussinesq incompressible fluids. The basic idea is to solve the velocity field
and the temperature field using two independent lattice BGK equations,
respectively, and then combine them into one coupled model for the whole system.
The porous plate problem and the two‐dimensional natural convection flow in a
square cavity with... hiện toàn bộ
Finite volume multigrid prediction of laminar natural convection: Bench‐mark solutions Tập 11 Số 2 - Trang 189-207 - 1990
M. Hortmann, Milovan Perić, G. Scheuerer
AbstractA finite volume multigrid procedure for the prediction of laminar
natural convection flows is presented, enabling efficient and accurate
calculations on very fine grids. The method is fully conservative and uses
second‐order central differencing for convection and diffusion fluxes. The
calculations start on a coarse (typically 10 × 10 control volumes) grid and
proceed to finer grids until ... hiện toàn bộ
A test problem for outflow boundary conditions—flow over a backward‐facing step Tập 11 Số 7 - Trang 953-967 - 1990
David Gartling
AbstractA numerical solution for steady incompressible flow over a
two‐dimensional backward‐facing step is developed using a Galerkin‐based finite
element method. The Reynolds number for the simulations is 800. Computations are
performed on an extended channel length to minimize the effect of the outflow
boundary on the upstream recirculation zones. A thorough mesh refinement study
is performed to... hiện toàn bộ
A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme Tập 20 Số 8-9 - Trang 869-885 - 1995
O. C. Zienkiewicz, Ramon Codina
AbstractThe paper outlines the formulation of a novel algorithm which can be
used for the solution of both compressible and incompressible Navier‐Stokes or
Euler equations. Full incompressibility can be dealt with if the algorithm is
used in its semi‐explicit form and its structure permits arbitrary interpolation
functions to be used avoiding the Babuška‐Brezzi restriction. In a fully
explicit ver... hiện toàn bộ