Abstract

In order to simulate fluid-solid boundary interaction for non-Newtonian Smoothed Particle Hydrodynamics (SPH) fluids, we present a steady and realistic fluid-solid boundary handling method using symmetrical interaction forces. Firstly, we use the improved SPH method to model the non-Newtonian fluid. Secondly, the density of boundary particle is created into the calculation of fluid-solid interaction forces. Besides, we apply friction conditions to constrain the fluid particles at the boundary. Finally, we apply the predictive-corrective scheme to correct the density deviation and improve boundary computing efficiency. The experiment confirms the feasibility for the interaction between non-Newtonian fluid and solid objects with this method. At the same time, it reflects the viscous characteristics and ensures the physical properties of non-Newtonian fluid. In addition, compared to existing methods, this method is more stable and easier to implement.

Highlights

  • Fluid phenomenon is common in nature, daily life and industry

  • The solid boundary particle contribution is taken into account for the Smooth Particle Hydrodynamics (SPH) method, in order to improve the stability of non-Newtonian fluid particles and solve the SPH boundary defect problem

  • We propose a fluid-solid boundary handling method for SPH-based non-Newtonian fluid

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Summary

Introduction

Fluid phenomenon is common in nature, daily life and industry. Fluid simulation and fluid animation have always been the significant content in computer graphics, visualization, virtual reality, etc. During the last few years, Smooth Particle Hydrodynamics (SPH) [2] has become a popular approach for simulating Newtonian fluid since it is simple and efficient in computation. There are several unsolved issues to simulate non-Newtonian fluid with SPH. Among those issues, fluid-solid boundary handling of non-Newtonian fluid is a compelling topic. While interaction between non-Newtonian fluid and solid objects seems to be straightforward as Newtonian fluid with solid. Specific boundary conditions should be considered when dealing with fluid-solid interaction of non-Newtonian fluid. In order to solve the problem of interaction between non-Newtonian fluid and solid using the SPH method, we propose a steady and vivid fluid-solid boundary handling method.

Related Works
Non-Newtonian Fluid Simulation
Comparison of Newtonian and Non-Newtonian Fluid
Control Equation with Cross Model
Non-Newtonian Fluid Simulation with SPH
Fluid-Solid Boundary Conditions
Fluid-Solid Boundary Handling of Non-Newtonian Fluids
Density Estimation of Solid Particle
Fluid-solid Interaction Forces
Friction Boundary Condition
Optimization with Predictive-Corrective Method
Implementation and Results
Conclusions
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