Abstract

Meshless methods to simulate fluid flows have been increasingly evolving through the years since they are a great alternative to deal with large deformations, which is where meshbased methods fail to perform efficiently. A well known meshless method is the Moving Particle Semi-implicit (MPS) method, which was designed to simulate free-surface truly incompressible fluid flows. Many variations and refinements of the method’s accuracy and precision have been proposed through the years and, in this paper, a reasonably wide literature review was performed together with their theoretical and mathematical explanations. Due to these works, it has proved to be very useful in a wide range of naval and mechanical engineering problems. However, one of its drawbacks is a high computational load and some quite time-consuming functions, which prevents it to be more used in Computer Graphics and Virtual Reality applications. Graphics Processing Units (GPU) provide unprecedented capabilities for scientific computations. To promote the GPU-acceleration, the solution of the Poisson Pressure equation was brought into focus. This work benefits from some of the techniques presented in the related work and also from the CUDA language in order to get a stable, accurate and GPU-accelerated MPS-based method, which is this work’s main contribution. It is shown that the GPU version of the method developed can perform from, approximately, 6 to 10 times faster with the same reliability as the CPU version, both extended to three dimensions. Lastly, a simulation containing a total of 62,600 particles is fully rendered in 3D.

Highlights

  • Some of the most common problems in naval hydrodynamics involve the study of fluid flow

  • The simulation is rendered using a screen space approach for illustration purposes. This points in a direction where truly incompressible and quite accurate fluid simulation methods can be used in Virtual Reality (VR) and Computer Graphics (CG) applications, allowing even more realism, focusing on the physics instead of the rendering

  • The authors introduced a new formulation of the source term of the Poisson Pressure Equation (PPE), which was referred as a Higher order Source term (HS), creating the Corrected MPS (CMPS)-HS method after combining this modification with their previous work

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Summary

INTRODUCTION

Some of the most common problems in naval hydrodynamics involve the study of fluid flow. Conventional methods, as the Finite Element Methods (FEM), Finite Difference Methods (FDM) and other meshbased methods, are considered well consolidated and accurate They are relatively inefficient when dealing with certain problems where it is required the simulation of large deformations. The best approach considered to deal with large deformations and the moving discontinuities caused by them is to constantly regenerate the mesh in order to keep its discontinuities coincident through the simulation [2] This constant remeshing makes the process quite expensive in terms of computation, probably even causing accuracy degradation [3]. The simulation is rendered using a screen space approach for illustration purposes This points in a direction where truly incompressible and quite accurate fluid simulation methods can be used in VR and CG applications, allowing even more realism, focusing on the physics instead of the rendering

Contributions
STATE OF THE ART
Related Works
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IMPLEMENTATION METHODOLOGY
Code Development
CASE STUDY
Findings
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