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**Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. II: Structured grids.**
*(English)*
Zbl 1101.76350

Summary: The present paper is the second article (see Zbl 0981.76052 for Part I) in a three-part series on anisotropic mesh adaptation and its application to (2-D) structured and unstructured meshes. In the first article, the theory was presented, the methodology detailed and brief examples given of the application of the method to both types of grids. The second part details the application of the mesh adaptation method to structured grids. The adaptation operations are restricted to mesh movement in order to avoid the creation of hanging nodes. Being based on a spring analogy with no restrictive orthogonality constraint, a wide grid motion is allowed. The adaptation process is first validated on analytical test cases and its high efficiency is shown on relevant transonic and supersonic benchmarks. These latter test cases are also solved on adapted unstructured grids to provide a reference for comparison studies. The third part of the series will demonstrate the capability of the methodology on 2-D unstructured test cases.

### MSC:

76M10 | Finite element methods applied to problems in fluid mechanics |

76N15 | Gas dynamics (general theory) |

65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |

65N50 | Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs |

### Keywords:

finite element method; error estimation; structured grids; unstructured grids; triangular element; grid adaptation; spring analogy; mesh movement### Citations:

Zbl 0981.76052
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\textit{D. Ait-Ali-Yahia} et al., Int. J. Numer. Methods Fluids 39, No. 8, 657--673 (2002; Zbl 1101.76350)

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