A Geometrically Consistent Viscous Fluid Solver with Two‐Way Fluid‐Solid Coupling. (7th June 2019)

• Record Type: Journal Article
• Authors: Takahashi, Tetsuya; Lin, Ming C.
• Is Part Of: Computer graphics forum. Volume 38:Number 2(2019)
• Page Start: 49
• Page End: 58
• Publication Date: 2019-06-07
• Subjects: CCS Concepts -- Computing methodologies → Physical simulation; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.13618
• Languages: English
• ISSNs: 0167-7055

Abstract

Abstract: We present a grid‐based fluid solver for simulating viscous materials and their interactions with solid objects. Our method formulates the implicit viscosity integration as a minimization problem with consistently estimated volume fractions to account for the sub‐grid details of free surfaces and solid boundaries. To handle the interplay between fluids and solid objects with viscosity forces, we also formulate the two‐way fluid‐solid coupling as a unified minimization problem based on the variational principle, which naturally enforces the boundary conditions. Our formulation leads to a symmetric positive definite linear system with a sparse matrix regardless of the monolithically coupled solid objects. Additionally, we present a position‐correction method using density constraints to enforce the uniform distributions of fluid particles and thus prevent the loss of fluid volumes. We demonstrate the effectiveness of our method in a wide range of viscous fluid scenarios.