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- Adaptive_mesh_refinement abstract "This article is about the use of adaptive meshing in numerical analysis. See Subdivision surface for the use of adaptive techniques in Computer Graphics modelling.In numerical analysis, adaptive mesh refinement is a method of changing the accuracy of a solution in certain regions, during the time the solution is being calculated. When solutions are calculated numerically, they are often constrained to discrete locations which constitute the computational grid, or 'mesh'. For example, when calculating a solution to the shallow water equations, the solution (water height) might only be calculated for points every few feet apart - and one would assume that in between those points the height varies smoothly. The limiting factor to the resolution of the solution is thus the grid spacing: there will be no features of the numerical solution on scales smaller than the grid-spacing. Adaptive mesh refinement (AMR) changes the spacing of grid points, to change how accurately the solution is known in that region. In the shallow water example, the grid might in general be spaced every few feet - but it could be adaptively refined to have grid points every few inches in places where there are large waves.If the region in which higher resolution is desired remains localized over the course of the computation, then static mesh refinement can be used - in which the grid is more finely spaced in some regions than others, but maintains its shape over time.The advantages of a dynamic gridding scheme are:Increased computational savings over a static grid approach.Increased storage savings over a static grid approach.Complete control of grid resolution, compared to the fixed resolution of a static grid approach, or the Lagrangian-based adaptivity of smoothed particle hydrodynamics.".
- Adaptive_mesh_refinement thumbnail Amrgridimg.jpg?width=300.
- Adaptive_mesh_refinement wikiPageID "1822182".
- Adaptive_mesh_refinement wikiPageRevisionID "569593220".
- Adaptive_mesh_refinement hasPhotoCollection Adaptive_mesh_refinement.
- Adaptive_mesh_refinement subject Category:Numerical_differential_equations.
- Adaptive_mesh_refinement type Abstraction100002137.
- Adaptive_mesh_refinement type Communication100033020.
- Adaptive_mesh_refinement type DifferentialEquation106670521.
- Adaptive_mesh_refinement type Equation106669864.
- Adaptive_mesh_refinement type MathematicalStatement106732169.
- Adaptive_mesh_refinement type Message106598915.
- Adaptive_mesh_refinement type NumericalDifferentialEquations.
- Adaptive_mesh_refinement type Statement106722453.
- Adaptive_mesh_refinement comment "This article is about the use of adaptive meshing in numerical analysis. See Subdivision surface for the use of adaptive techniques in Computer Graphics modelling.In numerical analysis, adaptive mesh refinement is a method of changing the accuracy of a solution in certain regions, during the time the solution is being calculated. When solutions are calculated numerically, they are often constrained to discrete locations which constitute the computational grid, or 'mesh'.".
- Adaptive_mesh_refinement label "Adaptive mesh refinement".
- Adaptive_mesh_refinement label "解適合格子法".
- Adaptive_mesh_refinement sameAs 解適合格子法.
- Adaptive_mesh_refinement sameAs m.05zpc8.
- Adaptive_mesh_refinement sameAs Q4680751.
- Adaptive_mesh_refinement sameAs Q4680751.
- Adaptive_mesh_refinement sameAs Adaptive_mesh_refinement.
- Adaptive_mesh_refinement wasDerivedFrom Adaptive_mesh_refinement?oldid=569593220.
- Adaptive_mesh_refinement depiction Amrgridimg.jpg.
- Adaptive_mesh_refinement isPrimaryTopicOf Adaptive_mesh_refinement.
