Robust moving mesh algorithms for hybrid stretched meshes: Application to moving boundaries problems

Landry, Jonathan; Soulaïmani, Azzeddine; Luke, Edward A.; Ali, Amine Ben El Haj

doi:10.1016/j.jcp.2016.09.008

Cited by 3 publications

(1 citation statement)

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“…The algorithms that power these methods are based on inverse distance weighting [14] or radial basis functions [6]. [14] combines its interpolation with a detangling post-processing step to smooth out sections of poor mesh quality.…”

Section: Introductionmentioning

confidence: 99%

Tangle-free Finite Element Mesh Motion for Ablation Problems

Droba

2016

46th AIAA Thermophysics Conference

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JSC Engineering, Technology, and Science (JETS): Jacobs Technology and HX5, LLC Mesh motion is the process by which a computational domain is updated in time to reflect physical changes in the material the domain represents. Such a technique is needed in the study of the thermal response of ablative materials, which erode when strong heating is applied to the boundary. Traditionally, the thermal solver is coupled with a linear elastic or biharmonic system whose sole purpose is to update mesh node locations in response to altering boundary heating. Simple mesh motion algorithms rely on boundary surface normals. In such schemes, evolution in time will eventually cause the mesh to intersect and "tangle" with itself, causing failure. Furthermore, such schemes are greatly limited in the problems geometries on which they will be successful. This paper presents a comprehensive and sophisticated scheme that tailors the directions of motion based on context. By choosing directions for each node smartly, the inevitable tangle can be completely avoided and mesh motion on complex geometries can be modeled accurately.

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Section: Introductionmentioning

confidence: 99%