An optimization on water wave diffraction approximation based on wave packets

Abstract

This paper proposes a novel approach for diffraction approximation in two‐dimensional water wave simulation. Our method is based on wave packets, which ensures unconditionally stability. We introduce the Green function in order to generate diffraction patterns that are used to judge whether our method can produce realistic diffraction effects. This method also implements propagation direction optimization for diffractive wave packets to handle the efficiency problem existed in the state‐of‐the‐art approach. Various results indicate that our new method can produce more appealing diffractive effects than current particle‐based approaches. Besides, from the efficiency perspective, compared to current approaches, our implementation greatly enhances the computational efficiency for scenes with high curvature obstacle boundaries.

Improved divergence‐free smoothed particle hydrodynamics via priority of divergence‐free solver and SOR

“…Fluid has always been an important research object in computer graphics, from the early fluid simulation of simple and small-scale scenes, [1][2][3] to the later large-scale, multi-material, multi-boundary fluid simulation of complex scenes, [4][5][6] as well as the fluid animation synthesis with depth camera, 7 fluid control, 8,9 and mixing fluid. 10 The Smoothed Particle Hydrodynamics (SPH) method 11 has become an effective fluid simulation method, that is widely applied to many production softwares and computer-aided engineering softwares as a core component.…”