Isogeometric large-eddy simulations of turbulent particle-laden flows

Qiming Zhu, Minjiang Zhu, Jinhui Yan

Research output: Contribution to journalArticlepeer-review


In recent years, isogeometric analysis (IGA) has attracted significant attention from the computational mechanics community due to its ability to integrate design and analysis. Besides, IGA is also a higher-order discretization technique for solving partial differential equations, showing high approximation capability per degree of freedom. In this paper, we extend the application realm of IGA to particle-laden flows based on Eulerian-Eulerian description that couples Navier-Stokes equations with a density transport equation through a Boussinesq approximation. The coupled systems are solved by using quadratic non-uniform rational B-spline (NURBS) functions and a recently developed residual-based variational multiscale (VMS) formulation, which introduces coupling between the fine velocity scales and density equation residuals. We deploy the proposed approach to perform large-eddy simulations (LES) of dilute particle-laden flows over a flat surface at Reynolds number = 10,000. We compare the simulation results against direct numerical simulation (DNS) results from the literature. We find that combining VMS and IGA, the proposed approach enables accurate prediction of a wide range of flow/particle statistics with a relatively lower mesh resolution.

Original languageEnglish (US)
Pages (from-to)2529-2550
Number of pages22
JournalMathematical Models and Methods in Applied Sciences
Issue number12
StatePublished - Nov 1 2022


  • Isogeometric analysis
  • large-eddy simulation
  • particle-laden flows

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics


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