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.

    Creators(s): 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
    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:14 Feb 2021 02:16
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/58236
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