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    The Multilevel Monte Carlo Method for Simulations of Turbulent Flows 

    Source: Monthly Weather Review:;2018:;volume 146:;issue 009:;page 2933
    Author(s): Chen, Qingshan; Ming, Ju
    Publisher: American Meteorological Society
    Abstract: AbstractIn this paper, the application of the multilevel Monte Carlo (MLMC) method to numerical simulations of turbulent flows with uncertain parameters is investigated. Several strategies for setting up the MLMC method ...
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    Prognostic Residual Mean Flow in an Ocean General Circulation Model and its Relation to Prognostic Eulerian Mean Flow 

    Source: Journal of Physical Oceanography:;2015:;Volume( 045 ):;issue: 009:;page 2247
    Author(s): Saenz, Juan A.; Chen, Qingshan; Ringler, Todd
    Publisher: American Meteorological Society
    Abstract: ecent work has shown that taking the thickness-weighted average (TWA) of the Boussinesq equations in buoyancy coordinates results in exact equations governing the prognostic residual mean flow where eddy?mean flow interactions ...
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    A Scale-Invariant Formulation of the Anticipated Potential Vorticity Method 

    Source: Monthly Weather Review:;2011:;volume( 139 ):;issue: 008:;page 2614
    Author(s): Chen, Qingshan; Gunzburger, Max; Ringler, Todd
    Publisher: American Meteorological Society
    Abstract: he long-term success of climate models that operate on multiresolution grids depends on access to subgrid parameterizations that act appropriately across a wide range of spatial and temporal scales. As the first step in a ...
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    A Scale-Aware Anticipated Potential Vorticity Method: On Variable-Resolution Meshes 

    Source: Monthly Weather Review:;2012:;volume( 140 ):;issue: 009:;page 3127
    Author(s): Chen, Qingshan; Gunzburger, Max; Ringler, Todd
    Publisher: American Meteorological Society
    Abstract: scale-aware formulation of the anticipated potential vorticity method (APVM), previously derived for quasi-uniform unstructured grids, is evaluated on multiresolution grids. Comparison is made to the original, nonscale-aware ...
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