Real-Time Fluid Surface Rendering with Adaptive Mesh Refinement: A Graphics Paper

Title: Real-Time Rendering of Dynamic Fluid Surfaces Using Adaptive Mesh Refinement\n\nAbstract:\n\nIn this paper, we present a real-time rendering method for simulating dynamic fluid surfaces using adaptive mesh refinement. Our method is based on solving the Navier-Stokes equations using a finite-volume method, and utilizes a hierarchical mesh structure to efficiently handle large-scale simulations. We also introduce a novel adaptive refinement algorithm that dynamically adjusts the mesh resolution based on the local surface curvature and fluid velocity, allowing for high-quality rendering of complex fluid dynamics in real-time.\n\nIntroduction:\n\nFluid simulations have been widely used in computer graphics for creating realistic animations and visual effects. However, simulating fluid dynamics is a computationally expensive task, and real-time rendering of dynamic fluid surfaces remains a challenging problem. In this paper, we propose a novel real-time rendering method for simulating fluid surfaces using adaptive mesh refinement.\n\nMethod:\n\nOur method is based on solving the Navier-Stokes equations using a finite-volume method. We use a hierarchical mesh structure to efficiently handle large-scale simulations, and introduce a novel adaptive refinement algorithm that dynamically adjusts the mesh resolution based on the local surface curvature and fluid velocity. This allows us to accurately capture the complex fluid dynamics while maintaining real-time performance.\n\nResults:\n\nWe demonstrate the effectiveness of our method through several examples including splashing water, a water fountain, and a wave pool. Our method produces high-quality real-time rendering of dynamic fluid surfaces with accurate surface tension and wave propagation, and can handle complex fluid dynamics such as turbulence and vortices.\n\nConclusion:\n\nIn this paper, we present a real-time rendering method for simulating dynamic fluid surfaces using adaptive mesh refinement. Our method is based on solving the Navier-Stokes equations using a finite-volume method, and utilizes a hierarchical mesh structure and adaptive refinement algorithm to efficiently handle large-scale simulations. We demonstrate the effectiveness of our method through several examples, and believe that our approach can be applied to a wide range of fluid simulations in computer graphics.