387 research outputs found
Multiscale modeling of rapid granular flow with a hybrid discrete-continuum method
Both discrete and continuum models have been widely used to study rapid
granular flow, discrete model is accurate but computationally expensive,
whereas continuum model is computationally efficient but its accuracy is
doubtful in many situations. Here we propose a hybrid discrete-continuum method
to profit from the merits but discard the drawbacks of both discrete and
continuum models. Continuum model is used in the regions where it is valid and
discrete model is used in the regions where continuum description fails, they
are coupled via dynamical exchange of parameters in the overlap regions.
Simulation of granular channel flow demonstrates that the proposed hybrid
discrete-continuum method is nearly as accurate as discrete model, with much
less computational cost
A stability condition for turbulence model: From EMMS model to EMMS-based turbulence model
The closure problem of turbulence is still a challenging issue in turbulence
modeling. In this work, a stability condition is used to close turbulence.
Specifically, we regard single-phase flow as a mixture of turbulent and
non-turbulent fluids, separating the structure of turbulence. Subsequently,
according to the picture of the turbulent eddy cascade, the energy contained in
turbulent flow is decomposed into different parts and then quantified. A
turbulence stability condition, similar to the principle of the
energy-minimization multi-scale (EMMS) model for gas-solid systems, is
formulated to close the dynamic constraint equations of turbulence, allowing
the heterogeneous structural parameters of turbulence to be optimized. We call
this model the `EMMS-based turbulence model', and use it to construct the
corresponding turbulent viscosity coefficient. To validate the EMMS-based
turbulence model, it is used to simulate two classical benchmark problems,
lid-driven cavity flow and turbulent flow with forced convection in an empty
room. The numerical results show that the EMMS-based turbulence model improves
the accuracy of turbulence modeling due to it considers the principle of
compromise in competition between viscosity and inertia.Comment: 26 pages, 13 figures, 2 table
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