WIAS Preprint No. 2841, (2021)

GENERIC framework for reactive fluid flows


  • Zafferi, Andrea
    ORCID: 0000-0003-4012-7666
  • Peschka, Dirk
    ORCID: 0000-0002-3047-1140
  • Thomas, Marita
    ORCID: 0000-0001-9172-014X

2020 Mathematics Subject Classification

  • 37K58 76M30 35Q35 80A32 80M30


  • Reactive compressible flow, thermomechanical modeling, GENERIC, Navier-Stokes fluid, Lagrangian-Eulerian coordinates




We describe reactive fluid flows in terms of the formalism General Equation for Non-Equilibrium Reversible-Irreversible Coupling also known as GENERIC. Together with the formalism, we present the thermodynamical and mechanical foundations for the treatment of fluid flows using continuous fields and present a clear relation and transformation between a Lagrangian and an Eulerian formulation of the corresponding systems of partial differential equations. We bring the abstract framework to life by providing many physically relevant examples for reactive compressive fluid flows.

Appeared in

  • ZAMM Z. Angew. Math. Mech., 103 (2023), pp. e202100254/1--e202100254/70 (published online on 09.05.2022), DOI 10.1002/zamm.202100254 .

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