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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

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Xiao-Ping Xie

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Preprint Sep 2026

A Reynolds-Semi-Robust, Globally Divergence-Free HDG Method for the Smagorinsky Model

We develop and analyze a fully discrete, globally divergence-free hybridizable discontinuous Galerkin (HDG) method for a gradient-based Smagorinsky model. The method combines backward Euler time stepping, interior-penalty discretizations of molecular and nonlinear eddy diffusion, and an upwind convective flux. The disc...

Shuai-Jun Liu, Xiao-Ping Xie · 0 citations

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