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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 44, 2003 - Issue 3
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Original Articles

AN INCOMPRESSIBLE NAVIER-STOKES MODEL IMPLEMENTED ON NONSTAGGERED GRIDS

Tony W. H. Sheu Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan, Republic of China
&
R. K. Lin Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan, Republic of China
Pages 277-394 | Published online: 02 Feb 2011

Citations (20)

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Read on this site (6)

TonyW. H. Sheu, NeoS. C. Kao, P.H. Chiu & C.S. Lin. (2011) Development of an Upwinding Scheme through the Minimization of Modified Wavenumber Error for the Incompressible Navier-Stokes Equations. Numerical Heat Transfer, Part B: Fundamentals 60:3, pages 179-202.
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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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TonyW. H. Sheu & S. H. Kuo. (2009) Numerical Study of an Electro-Osmotically Driven Microchannel Flow with Joule Heating Effect. Numerical Heat Transfer, Part B: Fundamentals 55:6, pages 503-522.
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José Ricardo Figueiredo & Kéteri Poliane Moraes de Oliveira. (2009) Comparative Study of UNIFAES and other Finite-Volume Schemes for the Discretization of Advective and Viscous Fluxes in Incompressible Navier-Stokes Equations, Using Various Mesh Structures. Numerical Heat Transfer, Part B: Fundamentals 55:5, pages 379-405.
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TonyW. H. Sheu & R. K. Lin. (2006) Development of a Locally Analytic Prolongation Operator in the Two-Grid, Three-Level Method for the Navier-Stokes Equations. Numerical Heat Transfer, Part B: Fundamentals 50:6, pages 517-533.
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P. H. Chiu, TonyW. H. Sheu & R. K. Lin. (2005) Development of a Dispersion Relation-Preserving Upwinding Scheme for Incompressible Navier–Stokes Equations on NonStaggered Grids. Numerical Heat Transfer, Part B: Fundamentals 48:6, pages 543-569.
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Articles from other publishers (14)

Pin-Chun Huang, Kwan Lee & Boris Gartsman. (2019) Influence of Topographic Characteristics on the Adaptive Time Interval for Diffusion Wave Simulation. Water 11:3, pages 431.
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Pin-Chun Huang & Kwan Tun Lee. (2017) Efficient DEM-based overland flow routing using integrated recursive algorithms. Hydrological Processes 31:5, pages 1007-1017.
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Antonio Pascau & Muslum Arici. (2016) An accurate discretization for an inhomogeneous transport equation with arbitrary coefficients and source. Computers & Fluids 125, pages 101-115.
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Reui-Kuo Lin & Wen-Hann Sheu. (2015) Study of cellular flow structure and pitchfork bifurcation in a laterally-heated cube. International Journal of Heat and Mass Transfer 83, pages 39-50.
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Tony W.H. Sheu, C.M. Mei & J.H. Li. (2013) Development of a wavenumber-preserving scheme for solving Maxwell’s equations in curvilinear non-staggered grids. Journal of Computational Physics 247, pages 208-227.
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Tony W.H. Sheu, S.H. Kuo & R.K. Lin. (2012) Prediction of a temperature‐dependent electroosmotically driven microchannel flow with the Joule heating effect. International Journal of Numerical Methods for Heat & Fluid Flow 22:5, pages 554-575.
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Tony W. H. Sheu, Y. W. Hung, M. H. Tsai, P. H. Chiu & J. H. Li. (2010) On the development of a triple‐preserving Maxwell's equations solver in non‐staggered grids. International Journal for Numerical Methods in Fluids 63:11, pages 1328-1346.
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P.H. Chiu, R.K. Lin & Tony W.H. Sheu. (2010) A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier–Stokes equations in time-varying complex geometries. Journal of Computational Physics 229:12, pages 4476-4500.
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Tony W.H. Sheu, C.H. Yu & P.H. Chiu. (2009) Development of a dispersively accurate conservative level set scheme for capturing interface in two-phase flows. Journal of Computational Physics 228:3, pages 661-686.
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P.H. Chiu, Tony W.H. Sheu & R.K. Lin. (2008) An effective explicit pressure gradient scheme implemented in the two-level non-staggered grids for incompressible Navier–Stokes equations. Journal of Computational Physics 227:8, pages 4018-4037.
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Tony W. H. Sheu, H. F. Ting & R. K. Lin. (2007) An immersed boundary method for the incompressible Navier–Stokes equations in complex geometry. International Journal for Numerical Methods in Fluids 56:7, pages 877-898.
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Tony W.H. Sheu & P.H. Chiu. (2007) A divergence-free-condition compensated method for incompressible Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering 196:45-48, pages 4479-4494.
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Tony W.H. Sheu, R.K. Lin & G.L. Liu. (2006) Development of a continuity-preserving segregated method for incompressible Navier–Stokes equations. Computer Methods in Applied Mechanics and Engineering 196:1-3, pages 502-515.
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R.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen, S. Garrick & V. Srinivasan. (2006) Heat transfer—A review of 2003 literature. International Journal of Heat and Mass Transfer 49:3-4, pages 451-534.
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