Time efficiency is a critical concern in Computational Fluid Dynamics (CFD) simulations of industrial applications. Despite the extensive research to improve the underlying numerical schemes to reduce the processing time, many CFD applications still need to improve on this issue. Reduced-Order Models (ROM) appeared as a promising alternative for significantly enhancing cost-effectiveness. The dimension of the initial problem is reduced significantly while keeping an acceptable level of accuracy. Proper Orthogonal Decomposition (POD), a data analysis technique, is widely used to construct a ROM to solve Euler and Navier-Stokes equations in CFD. Many aspects, however, need to be improved. In this paper, first, a general upper-bound error formula is derived, and second, a mesh-adaptivity based algorithm for snapshot locations in parameter space is provided (a sensitive step for POD-based ROM) in the context of Partial Differential Equations (PDE). The method’s efficiency is demonstrated through numerical tests by comparison to exact solutions and numerical results of a finite volume scheme on inviscid flow over a NACA0012.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    POD and mesh-adaptivity based reduce order model: Application to solve PDEs and inviscid flows


    Beteiligte:


    Erscheinungsdatum :

    01.05.2025




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Adaptivity Through Mesh Movement

    Catherall, D. / Royal Aeronautical Society | British Library Conference Proceedings | 1993


    Local Registration-Based Model Reduction of Parameterized PDEs With Spatio-Parameter Adaptivity

    Taddei, Tommaso / Tifouti, Ishak / Barral, Nicolas | AIAA | 2025


    Mesh Topology Preserving Boundary-Layer Adaptivity Method for Steady Viscous Flows

    Moro, D. / Nguyen, N. C. / Peraire, J. et al. | AIAA | 2017


    BOUNDARY LAYER MESH GENERATION AND ADAPTIVITY

    Loseille, A. / Lohner, R. / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2011


    Boundary Layer Mesh Generation and Adaptivity

    Loseille, Adrien / Löhner, Rainald | AIAA | 2011