The numerical simulation of meso-, convective-, and microscale atmospheric flows requires the solution of the Euler or the Navier–Stokes equations. Nonhydrostatic weather prediction algorithms often solve the equations in terms of derived quantities such as Exner pressure and potential temperature (and are thus not conservative) and/or as perturbations to the hydrostatically balanced equilibrium state. This paper presents a well-balanced, conservative finite difference formulation for the Euler equations with a gravitational source term, where the governing equations are solved as conservation laws for mass, momentum, and energy. Preservation of the hydrostatic balance to machine precision by the discretized equations is essential because atmospheric phenomena are often small perturbations to this balance. The proposed algorithm uses the weighted essentially nonoscillatory and compact-reconstruction weighted essentially nonoscillatory schemes for spatial discretization that yields high-order accurate solutions for smooth flows and is essentially nonoscillatory across strong gradients; however, the well-balanced formulation may be used with other conservative finite difference methods. The performance of the algorithm is demonstrated on test problems as well as benchmark atmospheric flow problems, and the results are verified with those in the literature.


    Zugriff

    Zugriff über TIB

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Well-Balanced, Conservative Finite Difference Algorithm for Atmospheric Flows



    Erschienen in:

    AIAA journal ; 54 , 1 ; 1370-1385


    Erscheinungsdatum :

    2016




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch


    Schlagwörter :

    Klassifikation :

    BKL:    50.93 / 55.50 Luftfahrzeugtechnik / 50.93 Weltraumforschung / 55.60 Raumfahrttechnik / 55.50 / 55.60
    Lokalklassifikation TIB:    770/7040



    Well-Balanced, Conservative Finite Difference Algorithm for Atmospheric Flows

    Ghosh, Debojyoti / Constantinescu, Emil M. | AIAA | 2016



    Well-Balanced Formulation of Gravitational Source Terms for Conservative Finite-Difference Atmospheric Flow Solvers (AIAA 2015-2889)

    Ghosh, Debojyoti / Constantinescu, Emil M. | British Library Conference Proceedings | 2015


    Conservative and Robust Compact Finite Difference Approach for Simulations of Dense Gas Flows

    Song, Hang / Ghate, Aditya S. / Dai, Steven et al. | AIAA | 2023


    Conservative Grid-Interface Algorithm For Computing Flows

    Klopfer, G. H. / Molvik, G. A. | NTRS | 1992