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- False_diffusion abstract "False diffusion is a type of error observed when the upwind scheme is used to approximate the convection term in convection–diffusion equations. The more accurate central difference scheme can be used for the convection term, but for grids with cell Peclet number more than 2, the central difference scheme is unstable and the simpler upwind scheme is often used. The resulting error from the upwind differencing scheme has a diffusion-like appearance in two- or three-dimensional co-ordinate systems and is referred as "false diffusion". False-diffusion errors in numerical solutions of convection-diffusion problems, in two- and three-dimensions, arise from the numerical approximations of the convection term in the conservation equations. Over the past 20 years many numerical techniques have been developed to solve convection-diffusion equations and none are problem-free, but false diffusion is one of the most serious problems and a major topic of controversy and confusion among numerical analysts.".
- False_diffusion thumbnail Upwind_differencing_scheme.jpg?width=300.
- False_diffusion wikiPageID "37827725".
- False_diffusion wikiPageLength "10182".
- False_diffusion wikiPageOutDegree "35".
- False_diffusion wikiPageRevisionID "673032658".
- False_diffusion wikiPageWikiLink Category:Computational_fluid_dynamics.
- False_diffusion wikiPageWikiLink Category:Numerical_differential_equations.
- False_diffusion wikiPageWikiLink Computational_fluid_dynamics.
- False_diffusion wikiPageWikiLink Convection.
- False_diffusion wikiPageWikiLink Convection–diffusion_equation.
- False_diffusion wikiPageWikiLink Convergence_(mathematics).
- False_diffusion wikiPageWikiLink Derivative.
- False_diffusion wikiPageWikiLink Diagonal.
- False_diffusion wikiPageWikiLink Differential_form.
- False_diffusion wikiPageWikiLink Diffusion_coefficient.
- False_diffusion wikiPageWikiLink Finite_difference.
- False_diffusion wikiPageWikiLink Finite_volume_method.
- False_diffusion wikiPageWikiLink Flow_velocity.
- False_diffusion wikiPageWikiLink Limit_(mathematics).
- False_diffusion wikiPageWikiLink Mass_diffusivity.
- False_diffusion wikiPageWikiLink Navier–Stokes_equations.
- False_diffusion wikiPageWikiLink Numerical_analysis.
- False_diffusion wikiPageWikiLink Parallel_(geometry).
- False_diffusion wikiPageWikiLink Peclet_number.
- False_diffusion wikiPageWikiLink Power_law_scheme.
- False_diffusion wikiPageWikiLink Péclet_number.
- False_diffusion wikiPageWikiLink QUICK_scheme.
- False_diffusion wikiPageWikiLink Taylor_series.
- False_diffusion wikiPageWikiLink Temperature.
- False_diffusion wikiPageWikiLink Transport_equation.
- False_diffusion wikiPageWikiLink Upwind_scheme.
- False_diffusion wikiPageWikiLink Velocity_field.
- False_diffusion wikiPageWikiLink File:Comparison_of_different_schemes.jpg.
- False_diffusion wikiPageWikiLink File:Convection.jpg.
- False_diffusion wikiPageWikiLink File:Mesh_size_64X64.jpg.
- False_diffusion wikiPageWikiLink File:Mesh_size_8X8.jpg.
- False_diffusion wikiPageWikiLink File:Result_with_grid_size_64X64.jpg.
- False_diffusion wikiPageWikiLink File:Result_with_grid_size_8X8.jpg.
- False_diffusion wikiPageWikiLink File:SUCCA_scheme.jpg.
- False_diffusion wikiPageWikiLink File:Upwind_differencing_scheme.jpg.
- False_diffusion wikiPageWikiLinkText "False diffusion".
- False_diffusion wikiPageWikiLinkText "false diffusion".
- False_diffusion hasPhotoCollection False_diffusion.
- False_diffusion wikiPageUsesTemplate Template:Citation.
- False_diffusion wikiPageUsesTemplate Template:NumBlk.
- False_diffusion wikiPageUsesTemplate Template:Reflist.
- False_diffusion subject Category:Computational_fluid_dynamics.
- False_diffusion subject Category:Numerical_differential_equations.
- False_diffusion hypernym Error.
- False_diffusion type Article.
- False_diffusion type Disease.
- False_diffusion type Article.
- False_diffusion type Dynamic.
- False_diffusion type Page.
- False_diffusion comment "False diffusion is a type of error observed when the upwind scheme is used to approximate the convection term in convection–diffusion equations. The more accurate central difference scheme can be used for the convection term, but for grids with cell Peclet number more than 2, the central difference scheme is unstable and the simpler upwind scheme is often used.".
- False_diffusion label "False diffusion".
- False_diffusion sameAs 人工粘性.
- False_diffusion sameAs m.0n_g5hv.
- False_diffusion sameAs Q5432694.
- False_diffusion sameAs Q5432694.
- False_diffusion wasDerivedFrom False_diffusion?oldid=673032658.
- False_diffusion depiction Upwind_differencing_scheme.jpg.
- False_diffusion isPrimaryTopicOf False_diffusion.
