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On modification of pressure gradient operator in integrated ISPH for multifluid and porous media flow with free-surface

机译：关于集成ISPH中用于自由表面的多流体和多孔介质流动的压力梯度算子的修改

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摘要

In Incompressible Smoothed Particle Hydrodynamics (ISPH) simulation, choice of pressure gradient operator plays an important role. Variations in effective porosity, fluid density, and free-surface conditions dictate the nature of the formulation. This study proposes an integrated ISPH framework with an implicit free-surface treatment. Pressure variation at the multi-fluid interface is maintained using a modified density-weighted pressure gradient with linear momentum conservation. Different pressure gradients with diffused interfaces for a porous domain as well as multifluid interface have been compared with the proposed operator. A unified form of Brinkman and Navier-Stokes equations are utilized to describe the flow-physics inside and outside the porous domain. Density variation in fluids is modelled by solving the scalar-transport equation. Effect of the porous domain is incorporated in terms of varying representative volume of the fluid particles. Porous media interface conditions are implicitly implemented using Darcy velocity and by introducing porosity into Pressure Poisson Equation (PPE). The present model is capable of minimizing error in velocity-divergence due to implicit free-surface treatment combined with linear momentum conservation. Proposed framework is validated by using existing experimental data of density-dependent flow with very low-density ratio and flow through porous blocks. A result of density-current passing through porous domain demonstrates the capability of the developed model for complex scenarios.
机译：在不可压缩的平滑粒子流体动力学（ISPH）模拟中，选择压力梯度算子起着重要作用。有效孔隙率，流体密度和自由表面条件的变化决定了制剂的性质。这项研究提出了一个带有隐式自由表面处理的集成ISPH框架。使用修正的密度加权压力梯度和线性动量守恒来保持多流体界面处的压力变化。已将具有用于多孔区域的扩散界面以及多流体界面的不同压力梯度与提出的算子进行了比较。 Brinkman和Navier-Stokes方程的统一形式用于描述多孔域内部和外部的流场。流体的密度变化通过求解标量传输方程来建模。就改变流体颗粒的代表性体积而言，并入了多孔域的作用。多孔介质界面条件是使用达西速度并通过将孔隙率引入压力泊松方程（PPE）隐式实现的。本模型能够最小化由于隐式自由表面处理与线性动量守恒相结合而引起的速度发散误差。通过使用现有的密度依赖性非常低的密度流和通过多孔块的流的实验数据来验证所提出的框架。密度电流通过多孔区域的结果证明了所开发模型在复杂情况下的能力。

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