A Matrix-Free Viscous Linearization Procedure for Implicit Compressible Flow Solvers
| Autor: | Nikhil Shende, Narayanaswamy Balakrishnan |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Physics::Fluid Dynamics
Mathematical optimization Finite volume method Computer science Linearization Coordinate system Triangular matrix Applied mathematics Viscous stress tensor Reynolds-averaged Navier–Stokes equations Compressible flow ComputingMethodologies_COMPUTERGRAPHICS Principal axis theorem |
| Zdroj: | Computational Fluid Dynamics 2010 ISBN: 9783642178832 |
| DOI: | 10.1007/978-3-642-17884-9_92 |
| Popis: | In this work, a matrix (inversion) free exact viscous linearization procedure for implicit compressible flow solvers in unstructured mesh framework is developed. Novel feature of this procedure is to solve RANS equations for a finite volume in a coordinate system aligned to the Principal axes of viscous stress tensor. For RAE aerofoil, it is demonstrated that the proposed procedure is more robust compared to a conventional matrix-free procedure. Though, in its present form, viscous linearization procedure is expensive, but it definitely adds to the robustness of flow solver. An intelligence built into the flow solver to selectively employ the Principal axes transformation is expected to render the code both robustness and efficiency. |
| Databáze: | OpenAIRE |
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