Mesh adaptation framework for embedded boundary methods for computational fluid dynamics and fluid-structure interaction

Raunak Borker, Daniel Huang, Sebastian Grimberg, Charbel Farhat, Philip Avery, Jason Rabinovitch

Research output: Contribution to journalArticlepeer-review

40 Scopus citations

Abstract

Embedded Boundary Methods (EBMs) are often preferred for the solution of Fluid-Structure Interaction (FSI) problems because they are reliable for large structural motions/deformations and topological changes. For viscous flow problems, however, they do not track the boundary layers that form around embedded obstacles and therefore do not maintain them resolved. Hence, an Adaptive Mesh Refinement (AMR) framework for EBMs is proposed in this paper. It is based on computing the distance from an edge of the embedding computational fluid dynamics mesh to the nearest embedded discrete surface and on satisfying the y+ requirements. It is also equipped with a Hessian-based criterion for resolving flow features such as shocks, vortices, and wakes and with load balancing for achieving parallel efficiency. It performs mesh refinement using a parallel version of the newest vertex bisection method to maintain mesh conformity. Hence, while it is sufficiently comprehensive to support many discretization methods, it is particularly attractive for vertex-centered finite volume schemes where dual cells tend to complicate the mesh adaptation process. Using the EBM known as FIVER, this AMR framework is verified for several academic FSI problems. Its potential for realistic FSI applications is also demonstrated with the simulation of a challenging supersonic parachute inflation dynamics problem.

Original languageEnglish
Pages (from-to)389-424
Number of pages36
JournalInternational Journal for Numerical Methods in Fluids
Volume90
Issue number8
DOIs
StatePublished - 20 Jul 2019

Keywords

  • boundary layer
  • embedded boundary methods
  • fluid-structure interaction
  • mesh adaptation

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