International Journal for Numerical Methods in Fluids

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A coupled lattice BGK model for the Boussinesq equations
International Journal for Numerical Methods in Fluids - 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
International Journal for Numerical Methods in Fluids - 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
On improvements of simplified and highly stable lattice Boltzmann method: Formulations, boundary treatment, and stability analysis
International Journal for Numerical Methods in Fluids - Tập 87 Số 4 - Trang 161-179 - 2018
Zhen Chen, C. Shu, Danielle Tan, Chen Wu
SummaryIn this paper, we present a detailed report on a revised form of simplified and highly stable lattice Boltzmann method (SHSLBM) and its boundary treatment as well as stability analysis. The SHSLBM is a recently developed scheme within lattice Boltzmann framework, which utilizes lattice properties and relationships given by Chapman‐Enskog expansion analysis to reconstruct solutions of macros... hiện toàn bộ
Discussions on driven cavity flow
International Journal for Numerical Methods in Fluids - Tập 60 Số 3 - Trang 275-294 - 2009
Ercan Erturk
AbstractThe widely studied benchmark problem, two‐dimensional‐driven cavity flow problem is discussed in detail in terms of physical and mathematical and also numerical aspects. A very brief literature survey on studies on the driven cavity flow is given. On the basis of several numerical and experimental studies, the fact of the matter is that physically the flow in a driven cavity is not two‐dim... hiện toàn bộ
A general algorithm for compressible and incompressible flow—Part II. tests on the explicit form
International Journal for Numerical Methods in Fluids - Tập 20 Số 8-9 - Trang 887-913 - 1995
O. C. Zienkiewicz, K. Morgan, B. V. K. Satya Sai, Ramon Codina, Michel Vasquez
AbstractThe algorithm introduced in Part I of this paper is applied in its explicit form to a variety of problems in order to demonstrate its wide range of applicability and excellent performance. Examples range from nearly incompressible, viscous, flows through transonic applications to high speed flows with shocks. In most examples linear triangular elements are used in the finite element approx... hiện toàn bộ
A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
International Journal for Numerical Methods in Fluids - 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
Genuinely multidimensional characteristic‐based scheme for incompressible flows
International Journal for Numerical Methods in Fluids - Tập 57 Số 8 - Trang 929-949 - 2008
Seyed Esmail Razavi, Kamiar Zamzamian, Ahmad Farzadi
AbstractThis paper presents a novel multidimensional characteristic‐based (MCB) upwind method for the solution of incompressible Navier–Stokes equations. As opposed to the conventional characteristic‐based (CB) schemes, it is genuinely multidimensional in that the local characteristic paths, along which information is propagated, are used. For the first time, the multidimensional characteristic st... hiện toàn bộ
Development of projection and artificial compressibility methodologies using the approximate factorization technique
International Journal for Numerical Methods in Fluids - Tập 19 Số 11 - Trang 1013-1038 - 1994
A. Pentaris, K. Nikolados, S. Tsangaris
AbstractPredictions for two‐dimensional, steady, incompressible flows under both laminar and turbulent conditions are presented. The standard k‐ϵ turbulence model is used for the turbulent flows. The computational method is based on the approximate factorization technique. The coupled approach is used to link the equations of motion and the turbulence model equations. Mass conservation is enforced... hiện toàn bộ
An improvement for multidimensional characteristic‐based scheme by using different selected waves
International Journal for Numerical Methods in Fluids - Tập 76 Số 10 - Trang 722-736 - 2014
Reza Fathollahi, Kamiar Zamzamian
SummaryIn this study, an improved multidimensional characteristic‐based (MCB) scheme, used for calculation of incompressible flows via artificial compressibility method, is presented. The new idea uses four different waves instead of traditional waves, which were used in the original MCB scheme corresponding to coordinate axes. In the new selection of waves, the number of compatibility relations i... hiện toàn bộ
A characteristic‐based method for incompressible flows
International Journal for Numerical Methods in Fluids - Tập 19 Số 8 - Trang 667-685 - 1994
Dimitris Drikakis, P. A. Govatsos, Dimitris Papantonis
AbstractA new characteristic‐based method for the solution of the 2D laminar incompressible Navier‐Stokes equations is presented. For coupling the continuity and momentum equations, the artificial compressibility formulation is employed. The primitives variables (pressure and velocity components) are defined as functions of their values on the characteristics. The primitives variables on the chara... hiện toàn bộ
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