1987
DOI: 10.1016/0021-9991(87)90093-3
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Adaptive remeshing for compressible flow computations

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Cited by 925 publications
(395 citation statements)
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“…Although a variety of mesh generation techniques are available [21], the generation of a suitable mesh for complex, multielement, geometries is still a complex and tedious task. The two traditional approaches are: the use of a structured body-fitted mesh utilising a multi-block structure, in which the blocks may overlap, [22,23,24,25] and the use of a completely unstructured body-fitted mesh [26,27,28]. Both of these approaches require significant effort to ensure that the generated mesh is of sufficient quality to both accurately represent the geometry and provide a high quality solution.…”
Section: Clash -Evk3-ct-2001-00058mentioning
confidence: 99%
“…Although a variety of mesh generation techniques are available [21], the generation of a suitable mesh for complex, multielement, geometries is still a complex and tedious task. The two traditional approaches are: the use of a structured body-fitted mesh utilising a multi-block structure, in which the blocks may overlap, [22,23,24,25] and the use of a completely unstructured body-fitted mesh [26,27,28]. Both of these approaches require significant effort to ensure that the generated mesh is of sufficient quality to both accurately represent the geometry and provide a high quality solution.…”
Section: Clash -Evk3-ct-2001-00058mentioning
confidence: 99%
“…Hybrid methods 18 treat the highly anisotropic regions of the domain as separate semi-structured zones lacking the generality to treat changes in the topology of these anisotropic regions off body. Global 19 and local 20 regeneration can suffer from the same robustness issues as initial grid generation. Methods that apply isotropic techniques in a metric mapped space have been successful in two dimensions (2D).…”
Section: -14mentioning
confidence: 99%
“…19,[21][22][23][24] The metric-based adaptation process has two principle components: determining an improved resolution request and creating an improved grid that satisfies that request. The improved resolution request is commonly based on local error estimates 17,19,25,26 and can include the effect of local errors on a global output quantity. 11,27,28 The use of anisotropic grid metrics has become a very standard way to specify a resolution request, but it does have limitations.…”
Section: -14mentioning
confidence: 99%
“…An optimal mesh is obtained when the Root-Mean-Square error is equidistributed over the elements, that is (Peraire et al, 1987):…”
Section: Error Estimationmentioning
confidence: 99%