2003
DOI: 10.1002/fld.498
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Mesh deformation and modification for time dependent problems

Abstract: SUMMARYMesh coarsening and mesh reÿnement are combined to provide a exible approach for the adaptation of time dependent problems. When the shape of the domain remains ÿxed but the computed solution is unsteady (e.g. vortex shedding of laminar ow over a cylinder), successive applications of coarsening and reÿnement allow the computed solution to be tracked in an e cient manner. The addition of a mesh movement phase extends this technique to handle a domain whose shape is also evolving with time.

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Cited by 12 publications
(7 citation statements)
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“…php/PimpleDyMFoam), and it is second order accurate in time and space. The case required the use of moving mesh capability [32][33][34], as well as solid-body interaction with the fluid [35]. The method for handling the moving mesh is explained in detail in [36]; we selected a mesh deformation method that uses the Laplace equation (with variable diffusion) in order to determine the motion of each mesh point, while preserving the motion that is given by the moving object.…”
Section: Numerical Simulationsmentioning
confidence: 99%
“…php/PimpleDyMFoam), and it is second order accurate in time and space. The case required the use of moving mesh capability [32][33][34], as well as solid-body interaction with the fluid [35]. The method for handling the moving mesh is explained in detail in [36]; we selected a mesh deformation method that uses the Laplace equation (with variable diffusion) in order to determine the motion of each mesh point, while preserving the motion that is given by the moving object.…”
Section: Numerical Simulationsmentioning
confidence: 99%
“…After the coarsening phase, an appropriate gradation of cell size is restored by solving a Laplace equation for ρ, using the boundary mesh spacings as Dirichlet boundary conditions [17]. An approximate solution is obtained by summing the difference in the point spacing for all edges N incident to the node using a relaxation technique.…”
Section: Prescribed Point Spacingmentioning
confidence: 99%
“…The topic of mesh reconnection can also be extended to include refinement and derefinement of cells [7,8,9,10]. Physical phenomena can often develop over varying length scales, with near-singular solutions and large gradients in very localized regions, and in most cases, the only solution is to resolve these variations using an increased number of cells in the area.…”
Section: Introductionmentioning
confidence: 99%