Supraconservative finite-volume methods for the Euler equations of subsonic compressible flow. (English) Zbl 1477.65147
A general (necessary and sufficient) requirements for a finite volume method to convectively preserve discrete kinetic energy is presented. The key ingredient is a discrete consistency between the convective term in the momentum equation and the terms in the other conservation equations (mass, internal energy). As examples, the Euler equations for subsonic (in)compressible flow are discretized with such supraconservative finite-volume methods on structured and unstructured meshes.
Reviewer: Abdallah Bradji (Annaba)
MSC:
| 65M08 | Finite volume methods for initial value and initial-boundary value problems involving PDEs |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 76G25 | General aerodynamics and subsonic flows |
| 35Q31 | Euler equations |
Keywords:
subsonic compressible flow; conservation laws; finite-volume method; supraconservative discretizationReferences:
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