A Matrix-Free Incompressible DG Algorithm for the Simulation of Turbulent Flows

  • Andrea CrivelliniEmail author
  • Matteo Franciolini
  • Alessandra Nigro
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 196)


The paper deals with an efficient implementation of a discontinuous Galerkin solver for the simulation of incompressible turbulent flows. The artificial compressibility flux approach is employed for space discretization, while a Rosenbrock-type Runge–Kutta scheme coupled with a matrix-free linear solver is used for the implicit time integration. The code has been here applied to solve the turbulent Rayleigh–Bénard convection at different Rayleigh numbers. The results prove the reliability of the proposed solution strategy and its suitability for the Implicit Large Eddy Simulation of turbulent flows.



We acknowledge the CINECA award, under the ISCRA initiative (Grant HP10B71OYM), for the availability of high performance computing resources and support.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Andrea Crivellini
    • 1
    Email author
  • Matteo Franciolini
    • 1
  • Alessandra Nigro
    • 2
  1. 1.Università Politecnica delle MarcheAnconaItaly
  2. 2.Università della CalabriaRendeItaly

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