Torsional springs for two-dimensional dynamic unstructured fluid meshes.

*(English)*Zbl 0961.76070Summary: Dynamic fluid grids are commonly used for the solution of flow problems with moving boundaries. They are often represented by a network of fictitious lineal springs that can become unreliable when the fluid mesh undergoes large displacements and/or deformations. In this paper, we propose to control the arbitrary motion of two-dimensional dynamic unstructured fluid grids with additional torsional springs. We show that such springs can be designed to prohibit the interpenetration of neighboring triangles, and therefore to provide the method of spring analogy with the robustness needed for enlarging its range of applications. We illustrate our new dynamic mesh motion algorithm with several examples (flows about a vibrating elastic panel and a suspension bridge) that highlight its advantages in terms of robustness, quality, and performance.

##### MSC:

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

##### Keywords:

network of fictitious lineal springs; two-dimensional dynamic unstructured fluid grids; torsional springs; method of spring analogy; vibrating elastic panel; suspension bridge
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\textit{C. Farhat} et al., Comput. Methods Appl. Mech. Eng. 163, No. 1--4, 231--245 (1998; Zbl 0961.76070)

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