Integrating Discrete Sub-grid Filters with Discretization-Corrected Particle Strength Exchange Method for High Reynolds Number Flow Simulations
arxiv(2024)
摘要
We present a discrete filter for subgrid-scale (SGS) model, coupled with the
discretization corrected particle strength exchange (DC-PSE) method for the
simulation of three-dimensional viscous incompressible flow, at high Reynolds
flows. The majority of turbulence modelling techniques, particularly in complex
geometries, face significant computational challenges due to the difficulties
in implementing 3-D convolution operations for asymmetric boundary conditions
or curved domain boundaries. In this contribution Taylor expansion is used to
define differential operators corresponding to the convolution filter, so that
the transfer function remains very close to the unity of sizeable displacement
in wave number, making the filter a good approximation to the convolution one.
A discrete Gaussian filter, in both fourth and second-order forms, was
evaluated with varying ratios of particle spacing to the cut-off length. The
impact of the filter's order and the ratio's value is thoroughly examined and
detailed in the study. Additionally, the Brinkman penalisation technique is
employed to impose boundary conditions implicitly, allowing for efficient and
accurate flow simulations around complex geometries without the need for
modifying the numerical method or computational domain. The incompressible flow
is governed by the the he Entropically Damped Artificial Compressibility
equations allowing explicit simulation of the incompressible Navier-Stokes
equations. The effectiveness of the proposed methodology is validated through
several benchmark problems, including isotropic turbulence decay, and flow
around four cylinders arranged in a square in-line configuration. These test
cases demonstrate the method's accuracy in capturing the intricate flow
structures characteristic of high Reynolds number flows, highlighting its
applicability to industrial turbulence modeling.
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