Geodesic
Method of unstructured mesh deformation to find aerodynamic characteristics of a body at small displacements
Matematičeskoe modelirovanie, Tome 33 (2021) no. 3, pp. 109-132

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The paper presents a method of deformation of an unstructured hybrid mesh for simulating the flow around solids performing small movements according to external laws or under the action of aerodynamic forces. The method is based on the use of an auxiliary strand grid, "tied" to a limited area of the computational mesh. Along each strand, a one-dimensional compression-tension problem is solved to ensure smooth resizing of mesh elements. The computational mesh in the boundary layer region remains unchanged. The efficiency of the method is demonstrated by solving two-dimensional and three-dimensional problems of simulating the flow around isolated moving bodies of simple configuration. The technique is implemented in the in-house code NOISEtte.
Keywords: computational fluid dynamics, unstructured mesh, mesh deformation, aerodynamic characteristics, drag force, lift force, small displacement. 
@article{MM_2021_33_3_a7,
     author = {V. G. Bobkov and V. A. Vershkov and T. K. Kozubskaya and V. O. Tsvetkova},
     title = {Method of unstructured mesh deformation to find aerodynamic characteristics of a body at small displacements},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {109--132},
     publisher = {mathdoc},
     volume = {33},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2021_33_3_a7/}
}
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V. G. Bobkov; V. A. Vershkov; T. K. Kozubskaya; V. O. Tsvetkova. Method of unstructured mesh deformation to find aerodynamic characteristics of a body at small displacements. Matematičeskoe modelirovanie, Tome 33 (2021) no. 3, pp. 109-132. http://geodesic.mathdoc.fr/item/MM_2021_33_3_a7/