A Jacobian-free edged-based Galerkin formulation for compressible flows

Gao, Song and Habashi, Wagdi G. and Isola, Dario and Baruzzi, Guido S. and Fossati, Marco (2016) A Jacobian-free edged-based Galerkin formulation for compressible flows. Computers and Fluids. ISSN 0045-7930

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    Abstract

    A parallel formulation of a Jacobian-free all Mach numbers solver on unstructured hybrid meshes is proposed. The Finite Element formulation is edge-based with flow stabilization obtained with either AUSM+ -up or Roe scheme. The linear system is solved via a Jacobian-Free Newton-Krylov (JFNK) method with Lower-Upper Symmetric GaussSeidel (LU-SGS) used as matrix-free preconditioner. The traditional formulation of LU-SGS is enriched by including the contributions from viscous fluxes and boundary conditions. The accuracy and efficiency of the proposed approach are demonstrated over cases ranging from low to high Mach numbers: subsonic flow over the Trap Wing, transonic flow over the ONERA M6 wing, supersonic flow over a sphere, supersonic flow over a waverider and finally hypersonic flow over a sphere.

    ORCID iDs

    Gao, Song, Habashi, Wagdi G., Isola, Dario, Baruzzi, Guido S. and Fossati, Marco ORCID logoORCID: https://orcid.org/0000-0002-1165-5825;
    • Item type:Article
      ID code:58236
      Dates:
      Date
      Event
      26 October 2016
      Published
      26 October 2016
      Published Online
      25 October 2016
      Accepted
      Keywords:Jacobian-free, unstructured hybrid meshes, finite element, flow stabilization, Newton-Krylov method, lower-upper symmetric Gaussian-Seidel, viscous fluxes, boundary conditions, aircraft aerodynamics, Mach numbers, aero-thermodynamic efficiency, Galerkin formulation, compressible flows, Motor vehicles. Aeronautics. Astronautics, Computer software, Software, Aerospace Engineering
      Subjects:Technology > Motor vehicles. Aeronautics. Astronautics
      Science > Mathematics > Computer software
      Department:Faculty of Engineering > Mechanical and Aerospace Engineering
      Depositing user: Pure Administrator
      Date deposited:25 Oct 2016 10:21
      Last modified:23 Sep 2021 05:53
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/58236
    CORE (COnnecting REpositories)