A spatially adaptive high-order meshless method for fluid–structure interactions

Hu, Wei; Trask, Nathaniel Albert; Hu, Xiaozhe; Pan, Wenxiao

doi:10.1016/j.cma.2019.06.009

Title: A spatially adaptive high-order meshless method for fluid–structure interactions

Journal Article · Fri Jun 21 00:00:00 EDT 2019 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2019.06.009· OSTI ID:1570255

Hu, Wei ^[1]; Trask, Nathaniel Albert ^[2];

^[3]; Pan, Wenxiao ^[1]

Univ. of Wisconsin, Madison, WI (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Tufts Univ., Medford, MA (United States)

We present a scheme implementing an a posteriori refinement strategy in the context of a high-order meshless method for problems involving point singularities and fluid–solid interfaces. The generalized moving least squares (GMLS) discretization used in this work has been previously demonstrated to provide high-order compatible discretization of the Stokes and Darcy problems, offering a high-fidelity simulation tool for problems with moving boundaries. The meshless nature of the discretization is particularly attractive for adaptive h-refinement, especially when resolving the near-field aspects of variables and point singularities governing lubrication effects in fluid–structure interactions. We demonstrate that the resulting spatially adaptive GMLS method is able to achieve optimal convergence in the presence of singularities for both the div-grad and Stokes problems. Furthermore, we present a series of simulations for flows of colloid suspensions, in which the refinement strategy efficiently achieved highly accurate solutions, particularly for colloids with complex geometries.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1570255

Report Number(s):: SAND-2019-11343J; 679510

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Vol. 355, Issue C; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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