An evaluation of upwind and central difference approximations by a study of recirculating flow

Keywords

Upwind scheme, Mathematics, Curse of dimensionality, Reynolds number, Flow (mathematics)

References

• Numerical Solution of the Navier-Stokes Equations for the Flow in a Two-Dimensional CavityMitutosi Kawaguti — 1961
• On artificial viscosityPatrick J. Roache — 1972
• Analytical and numerical studies of the structure of steady separated flowsO. R. Burggraf — 1966
• Accuracy of Finite-Difference Methods Applied to the Advection EquationC.R. Molenkamp — 1968
• Convective difference schemesK.V. Roberts, N. O. Weiss — 1966
• Errors in the use of nonuniform mesh systemsH.J Crowder, C. Dalton — 1971
• The Method of the False Transient for the Solution of Coupled Elliptic EquationsGordon D. Mallinson, G. de Vahl Davis — 1973
• Numerical study of viscous flow in a cavityJames D Bozeman, Charles Dalton — 1973
• Second-order numerical advectionW. P. Crowley — 1967
• Stability and convergence in fluid flow problemsK. W. Morton — 1971
• Steady flows in rectangular cavitiesFrank Pan, Andreas Acrivos — 1967
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimenAkio Arakawa — 1997
• Cavity flows driven by buoyancy and shearK. E. Torrance, Russ E. Davis, Kevin Eike — 1972
• Three-dimensional flow in cavitiesD. J. Maull, L. F. East — 1963
• On steady laminar flow with closed streamlines at large Reynolds numberG. K. Batchelor — 1956
• NUMERICAL ADVECTION EXPERIMENTS1W. P. Crowley — 1968
• Comparison of finite-difference computations of natural convectionK. E. Torrance — 1968
• On the Closed Motion of a Fluid in a Square CavityR. D. Mills — 1965
• Numerical Solutions of the Viscous Flow Equations for a Class of Closed FlowsR. D. Mills — 1965
• Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part IAkio Arakawa — 1966

Cited by

• Numerical computation of lid driven cavity using marker and cell (MAC) methodM. Daud, Nurul Izyan — 2014
• Experimental and numerical investigation of confined coaxial turbulent jetsJ. M. Khodadadi, N. S. Vlachos — 1987
• An investigation of the airflow in mushroom growing structures, the development of an improved, three-dimensional solution technique for fluid flow and its evaluation for the modelling of mushroom growing structuresJames J. Grant — 2002
• Modélisation du transfert de chaleur par rayonnement, conduction et convection : Application aux fours verriersNacer Berour — 2005
• ULTRA-SHARP Nonoscillatory Convection Schemes for High-Speed Steady Multidimensional FlowB. P. Leonard, Simin Mokhtari — 1990
• Calculation of Complicated Flows, Using First and Second-Order Schemes (RESEARCH NOTE)M. Goodarzi, A. Azimian — 2003
• Diffusion-dispersion en milieu poreux : étude numérique du tenseur de dispersion pour quelques arrangements périodiques bidimensionnels ordonnés et désordonnésAmaral Souto, Hélio Pédro — 1993
• INVESTIGATION OF FILTERING METHODS FOR LARGE-EDDY SIMULATIONWeiyun Liu — 2014
• Numerical simulation of electrophoresis separation processesDeepak Ganjoo, Tayfun E. Tezduyar — 1986
• A third-order gas-kinetic scheme for three-dimensional inviscid and viscous flow computations ☆Liang Pan, Kun Xu — 2015
• A generalized statement for advective-diffusive phenomena. Finiteelement model and applicationsHéctor Gómez, Ignasi Colominas, F. Navarrina — 2000
• Developments in computational methods for high-lift aerodynamicsDaniel A. King, Brian R. Williams — 1988
• The Numerical and Analytical Study of Bifurcation and Multicellular Flow Instability Due to Natural Convection Between Narrow Horizontal Isothermal Cylindrical annuli at High Rayleigh Numbers.D. B. Fant — 1987
• The numerical simulation of turbulent jets and diffusion flamesR. Luppes — 2000
• A collocated grid, projection method for time‐accurate calculation of low‐Mach number variable density flows in general curvilinear coordinatesMahdi Kooshkbaghi, Bamdad Lessani — 2013
• IMPLICIT VECTORIAL OPERATOR SPLITTING FOR INCOMPRESSIBLE NAVIERSTOKES EQUATIONS IN PRIMITIVE VARIABLESC. I. Christov, Rossitza S. Marinova — 2001
• Modelagem e simulação da hidrodinâmica em aeração forçada considerando aspectos globais de escoamento turbulentoAndreza Bortoloti Franco de Oliveira — 2013
• Finite-Element Simulations of Stratified Flow Over Simple Geometrical Obstructions and Arbitrarily Complex Terrain.J.M. Leone — 1980
• A critical evaluation of various turbulence models as applied to internal fluid flowsM. Nallasamy — 1985
• A cost-effective strategy for nonoscillatory convection without clippingB. P. Leonard, H. S. Niknafs — 1990

Related papers

• A kind of implicit and upwind scheme for solving hyperbolic conservation lawsYinyue Wang — 2004
• High-order Upwind Scheme with Adaptive Artificial Viscosity Term for Hyperbolic Conservation LawsShaochun Chen Shaochun Chen — 2013
• Application of a Multi-dimensional Limiting Process to Central-Upwind Schemes for Solving Hyperbolic Systems of Conservation LawsSeongju Do, Youngsoo Ha, Myungjoo Kang — 2016
• 858. 多次元伝熱流動計算における数値拡散,(II)Isamu Maekawa — 1987
• Hyperbolic systems of conservation laws, the Weyl equation, and multidimensional upwindingSebastian Noelle — 1994
• High order upwind scheme for modelling turbulent shallow water flow in hydraulic structuresM. Elena Vázquez-Cendón, Luís Cea — 2007
• Comparison of measured and predicted thermal mixing tests using improved finite difference techniqueYassin A. Hassan, J.G. Rice, J.H. Kim — 1983
• a Stable Mass-Flow Two-Dimensional Skew Upwind SchemeYassin A. Hassan, J.G. Rice, J. H. Kim — 1983
• MODELLING OF FLOW IN RECTANGULAR SEDIMENTATION TANKS BY AN EXPLICIT THIRD‐ORDER UPWINDING TECHNIQUEHany Gerges, John A. McCorquodale — 1997
• A novel flow-oriented discretization scheme for reducing false diffusion in three-dimensional (3D) flows: An application in the indoor environmentD.P. Karadimou, N.C. Markatos — 2012