We propose a new approach to learning the subgrid-scale model when simulating partial differential equations (PDEs) solved by method of lines and their representation in chaotic ordinary equations, based on neural (NODEs). Solving systems with fine temporal spatial grid scales is an ongoing computational challenge, closure models are generally difficult tune. Machine approaches have increased a...

Methods motivated by non-equilibrium statistical mechanics of turbulence are applied to solve an important practical problem in geophysical fluid dynamics, namely the parametrization of subgrid-scale eddies needed in large-eddy simulations (LESs). A direct stochastic modelling scheme that is closely related to techniques based on statistical closure theories, but which is more generally applica...

A class of subgrid stress ~SGS! models for large-eddy simulation ~LES! is presented based on the idea of structure-based Reynolds-stress closure. The subgrid structure of the turbulence is assumed to consist of stretched vortices whose orientations are determined by the resolved velocity field. An equation which relates the subgrid stress to the structure orientation and the subgrid kinetic ene...

[1] Hillslope sediment transport models express the sediment flux at a point as a function of some topographic attributes of the system, such as slope, curvature, soil thickness, etc., at that point only (referred here as “local” transport models) or at an appropriately defined vicinity of that point (referred here as “nonlocal” transport models). Typically, topographic attributes are computed ...

Diierent dynamic subgrid scale models, viz. the dynamic model of Germano et al. are evaluated by means of a priori tests. Direct numerical simulation data for fully-developed turbulent and transitional incompressible ows are used. Low correlation is obtained between exact and modeled subgrid scale stresses with the DSM. Conversely, good agreement is found for both the DMM and the DTM, since tho...