Assessment of conservative load transfer for fluid-solid interface with non-matching meshes.

*(English)*Zbl 1122.74544Summary: We present a detailed comparative study of three conservative schemes used to transfer interface loads in fluid-solid interaction simulations involving non-matching meshes. The three load transfer schemes investigated are the node-projection scheme, the quadrature-projection scheme and the common-refinement based scheme. The accuracy associated with these schemes is assessed with the aid of 2-D fluid-solid interaction problems of increasing complexity. This includes a static load transfer and three transient problems, namely, elastic piston, superseismic shock and flexible inhibitor involving large deformations. We show how the load transfer schemes may affect the accuracy of the solutions along the fluid-solid interface and in the fluid and solid domains. We introduce a grid mismatching function which correlates well with the errors of the traditional load transfer schemes. We also compare the computational costs of these load transfer schemes.

##### MSC:

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

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

##### Keywords:

fluid-solid interaction; load transfer; non-matching meshes; node-projection; quadrature-projection; common-refinement; superseismic; inhibitor; large deformation; grid mismatching function
PDF
BibTeX
XML
Cite

\textit{R. K. Jaiman} et al., Int. J. Numer. Methods Eng. 64, No. 15, 2014--2038 (2005; Zbl 1122.74544)

Full Text:
DOI

##### References:

[1] | Ghattas, Journal of Computational Physics 121 pp 347– (1995) |

[2] | Piperno, Computer Methods in Applied Mechanics and Engineering 190 pp 3147– (2001) |

[3] | Piperno, Computer Methods in Applied Mechanics and Engineering 124 pp 79– (1995) |

[4] | Farhat, Computer Methods in Applied Mechanics and Engineering 157 pp 95– (1998) |

[5] | Cebral, AIAA Journal 35 pp 687– (1997) |

[6] | Jiao, International Journal for Numerical Methods in Engineering 61 pp 2402– (2004) |

[7] | Farhat, International Journal for Numerical Methods in Engineering 21 pp 807– (1995) |

[8] | Smith, Journal of Aircraft 37 pp 282– (2000) |

[9] | Michler, Computer Methods in Applied Mechanics and Engineering 192 pp 4195– (2003) |

[10] | Cai, SIAM Journal on Numerical Analysis 36 pp 581– (1999) |

[11] | Simo, Computer Methods in Applied Mechanics and Engineering 50 pp 163– (1985) |

[12] | Loose-coupling algorithms for fluid-structure interaction. Ph.D. Thesis, George Mason University, 1996. |

[13] | Ramshaw, Journal of Computational Physics 59 pp 193– (1985) |

[14] | Jiao, International Journal of Computational Geometry and Applications 14 pp 379– (2004) |

[15] | , . Step load moving with superseismic velocity on the surface of a half-space of granular material. Technical Report AFWL-TR-65-69, 1965. |

[16] | Arienti, Journal of Computational Physics 185 pp 213– (2003) |

[17] | , , , , . Simulations of slumping propellant and flexible inhibitor in solid rocket motors. AIAA 2002-4341 CP, 2002. |

[18] | , . Structural analysis of a flexible structural member protruding into an interior flow field. AIAA 93-1446 CP, 1993. |

[19] | . Parallel simulation of multicomponent systems. High Performance Computing for Computational Science–VECDAR/2004 (LNCS 3402), Valencia, Spain, June 2004; 496-513. |

[20] | Stress Waves in Solids. Dover: New York, 1963. · Zbl 0109.43303 |

[21] | Scientific Computing: An Introduction Survey (2nd edn). McGraw-Hill: New York, 2002. |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.