Abstract

Based on the lattice Boltzmann Method (LBM), a new moving boundary treatment is proposed by studying the influence of the moving boundary in a low-speed incompressible fluid. Simulating flow past a static cylinder, flow past a moving cylinder, and flow in a curved moving pipe shows that the LBM has high reliability and stability with moving boundary conditions. In order to reduce parallel computing time and take full advantage of the characteristics of the model, the solid grids are allocated according to the number of computing cores. Two parallel speedup ratios were tested, keeping the overall task volume unchanged to increase the number of cores and keeping the single-core task volume unchanged. In the first speedup ratio, the efficiency of the flow field calculation at 112 cores reached more than 80%. The second speedup ratio indicated that the proportion of communication in the program was tiny and suitable for large-scale parallel computing. The study of the moving boundary problem can effectively help solve the fluid-structure coupling problem. Due to the particularity of the model, it can be used to simulate the fluid-structure coupling problem of blood vessel flow effectively.

Highlights

  • The problem of complex fluid flow has always been one of the most critical and challenging research fields in large-scale scientific and engineering computing

  • The number of solid grids was allocated simultaneously, significantly reducing the time overhead of mesh generation, thereby reducing the overall calculation time. Since this method is suitable for the moving boundary problem of the pipeline model, it can be applied to the fluid–solid coupling problem of blood vessels in future research

  • In the simulation of the moving cylinder, the comparison of the flow field and the three parameters verified the accuracy of the simulation of the moving boundary problem

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Summary

Introduction

The problem of complex fluid flow has always been one of the most critical and challenging research fields in large-scale scientific and engineering computing. The feature makes LBM significantly suitable for large-scale parallel computing of complex flow problems [2]. This method has been widely used in many fields, such as two-dimensional multiphase flow [3], microscale fluid flow, biomechanics [4], and porous media [5]. Ladd [9] first proposed a Bounce Back (BB) method to deal with motion boundary problems in 1993 Based on this curve boundary processing method, many researchers [10,11,12,13,14,15,16] have expanded and improved to reduce the frequency fluctuation caused by the movement of grid points. Because the immersion boundary method (IBM) is based on the Cartesian coordinate system and is suitable for combination with LBM, the application of IBM [18,19,20,21,22,23,24] in LBM is another widely used moving boundary processing method

D2G9 Model
Mesh Generation for a Specific Model
Numerical Experiment
Flow Past a Static Cylinder
The Proposed Solid Boundary Condition
Parallel Speedup and Efficiency
Findings
Conclusions

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