효율적인 유체 시뮬레이션을 위한 FLIP과 레벨셋의 적응형 혼합 기법 = An Adaptive FLIP-Levelset Hybrid Method for Efficient Fluid Simulation

다국어 초록 (Multilingual Abstract)

Fluid Implicit Particle (FLIP) method is used in Visual Effect(VFX) industries frequently because FLIP based simulation show high performance with good visual quality.
However in large-scale fluid simulations, the efficiency of FLIP method is low because it requires many particles to represent large volume of water. In this papers, we propose a novel hybrid method of simulating fluids to supplement this drawback. To improve the performance of the FLIP method by reducing the number of particles,
particles are deployed inside thin layers of the inner surface of water volume only. The coupling between less-disspative solutions of FLIP method and viscosity solution of levelset method is achieved by introducing a new surface reconstruction method motivated by surface reconstruction method[1] and moving least squares(MLS) method[31]. Our hybrid method can generate high quality of water simulations efficiently with various multiscale features.

목차 (Table of Contents)

• 1. 서론 1
• 2. 관련연구 5
• 2.1 유체시뮬레이션 5
• 2.2 유체방정식 6
• 2.3 오일러리안 방식 9
• 2.3.1 레벨셋 기법 11
• 2.4 라그랑지안 방식 13
• 2.4.1 SPH 13
• 2.5 하이브리드 방식 14
• 2.5.1 PIC 15
• 2.5.2 FLIP 15
• 2.5.3 파티클-레벨셋 17
• 3. 새로운 혼합 시뮬레이션 18
• 3.1 격자 기반 레벨셋 시뮬레이션 19
• 3.2 적응형 FLIP 시뮬레이션 21
• 3.2.1 파티클 속도장 재구성 23
• 3.2.2 파티클 갱신 24
• 3.3 레벨셋 표면 재구성 26
• 3.4 업샘플링 31
• 4. 결과 비교 및 논의 41
• 5. 결론 및 향후 과제 46
• 참고문헌 47