Derives stochastic compressible Navier-Stokes equations via an extended stochastic Reynolds transport theorem, recovers incompressible forms under Boussinesq approximation, and demonstrates in LES that stochastic transport reproduces penetrative convection under temperature-driven free convection.
Stochastic transport by Gaussian noise
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abstract
Diffusion with stochastic transport is investigated here when the random driving process is a very general Gaussian process, including Fractional Brownian motion. The purpose is the comparison with a deterministic PDE, which in certain cases represents the equation for the mean value. From this equation we observe a reduced dissipation property for small times and an enhanced diffusion for large times, with respect to delta correlated noise when regularity is higher than the one of Brownian motion, a fact interpreted qualitatively here as a signature of the modified dissipation observed for 2D turbulent fluids due to the inverse cascade. We give results also for the variance of the solution and for a scaling limit of a two-component noise input.
fields
physics.flu-dyn 1years
2023 1verdicts
UNVERDICTED 1representative citing papers
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Stochastic compressible Navier-Stokes equations under location uncertainty and their approximations for ocean modelling
Derives stochastic compressible Navier-Stokes equations via an extended stochastic Reynolds transport theorem, recovers incompressible forms under Boussinesq approximation, and demonstrates in LES that stochastic transport reproduces penetrative convection under temperature-driven free convection.