Finite-element formulation of a Jacobian-free solver for supersonic viscous flows on hybrid grids

Song Gao, Wagdi G. Habashi, Marco Fossati, Dario Isola, Guido S. Baruzzi

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

5 Citations (Scopus)
5 Downloads (Pure)


A parallel Jacobian-free solver for supersonic flows on unstructured hybrid meshes is proposed. An edge-based Finite Element formulation is used for spatial discretization with flow stabilized via either AUSM+-up or a Roe scheme. The Jacobian-free Newton-Krylov method is used as linear system solver and the lower-upper symmetric Gauss-Seidel method is used for matrix-free preconditioning. In the present formulation, second order approximations of spatial derivatives of the inviscid fluxes are introduced efficiently. Numerical results for Mach 1.93 flow past a sphere, Mach 4 flow past a waverider, and Mach 10.01 flow past a sphere, are presented.
Original languageEnglish
Title of host publication55th AIAA Aerospace Sciences Meeting
Place of PublicationGrapevine, Texas
Number of pages28
ISBN (Electronic)9781624104473
Publication statusPublished - 5 Jan 2017
Event55th AIAA Aerospace Sciences Meeting - Grapevine, United States
Duration: 9 Jan 201713 Jan 2017

Publication series

NameAIAA SciTech Forum
PublisherAmerican Institute of Aeronautics and Astronautics


Conference55th AIAA Aerospace Sciences Meeting
Abbreviated titleAIAA SciTech 2017
Country/TerritoryUnited States
Internet address


  • Jacobian-free
  • solvers
  • supersonic
  • viscous flows
  • hybrid grids
  • finite element
  • spatial discretization
  • Newton-Krylov method


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