Density maps for improved SPH boundary handling

Koschier, Dan; Bender, Jan

doi:10.1145/3099564.3099565

Cited by 52 publications

(52 citation statements)

References 31 publications

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“…Particle sampled boundaries usually cause an undesired numerical dissipation of the kinetic energy in regions where the fluid is in contact with the boundary. Therefore, we would like to extend the approach for implicit boundary handling proposed by Koschier and Bender [66] in order to incorporate it into our solver for micropolar fluids.…”

Section: Resultsmentioning

confidence: 99%

Turbulent Micropolar SPH Fluids with Foam

Bender

Koschier

Kugelstadt

et al. 2019

IEEE Trans. Visual. Comput. Graphics

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In this paper we introduce a novel micropolar material model for the simulation of turbulent inviscid fluids. The governing equations are solved by using the concept of Smoothed Particle Hydrodynamics (SPH). SPH fluid simulations suffer from numerical diffusion which leads to a lower vorticity, a loss in turbulent details and finally in less realistic results. To solve this problem we propose a micropolar fluid model. The micropolar fluid model is a generalization of the classical Navier-Stokes equations, which are typically used in computer graphics to simulate fluids. In contrast to the classical Navier-Stokes model, micropolar fluids have a microstructure and therefore consider the rotational motion of fluid particles. In addition to the linear velocity field these fluids have a field of microrotation which represents existing vortices and provides a source for new ones. Our novel micropolar model can generate realistic turbulences, is linear and angular momentum conserving, can be easily integrated in existing SPH simulation methods and its computational overhead is negligible. Another important visual feature of turbulent liquids is foam. Therefore, we present a post-processing method which considers microrotation in the foam generation. It works completely automatic and requires only one user-defined parameter to control the amount of foam.

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Section: Resultsmentioning

confidence: 99%

Turbulent Micropolar SPH Fluids with Foam

Bender

Koschier

Kugelstadt

et al. 2019

IEEE Trans. Visual. Comput. Graphics

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“…However, without solving the particle deficiency problem, numerical artifacts can arise near the solid boundaries. Koschier and Bender [KB17] proposed to extend the fluid's density field into the boundary geometry and discretize the function using cubic polynomials on a sparse grid without any dependence on particle sampling. To further improve the performance, Bender et al [BKWK19] suggested not to precompute the density field on the grid, but instead determine the intersection volume between a particle's support domain and the boundary on a coarse grid.…”

Section: Related Workmentioning

confidence: 99%

“…However, treating solid wall boundaries still remains one of the most challenging parts in SPH. Over the past three decades, a variety of different strategies (e.g., ghost particles [AIA * 12], density maps [KB17], semi-analytical boundaries [FLR * 13], etc) have been developed for implementing solid walls in SPH , each with its advantages and disadvantages.…”

Section: Introductionmentioning

confidence: 99%

Semi‐analytical Solid Boundary Conditions for Free Surface Flows

Chang

Liu

et al. 2020

Computer Graphics Forum

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“…However, their algorithm is intricate and computationally complex. More recently, Koschier and Bender [39] couples solids and fluids, where they use pre-processed density maps to handle non-penetration constraints. Although, this method robustly handles rigid dynamic boundaries, it can not handle deformable bodies.…”

Section: Related Workmentioning

confidence: 99%

ISPH–PBD: coupled simulation of incompressible fluids and deformable bodies

Rumman

Nair²,

Müller³

et al. 2019

Vis Comput

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We present an efficient and stable method for simulating the two-way coupling of incompressible fluids and deformable bodies. In our method, the fluid is represented by particles, and simulated using divergence-free Incompressible Smoothed Particle Hydrodynamics (ISPH). The deformable bodies are represented by polygonal meshes, where the elastic deformations are simulated using a Position Based Dynamics (PBD) scheme. Our technique enforces incompressibility on the fluid using divergence-free constraints on the velocity field, while it effectively simulates the physical features of deformable bodies. Most current ISPH methods are struggling with the issue of free surface boundary conditions. We handle this problem by introducing a novel free surface formulation, where our free surface model obviates the need to identify the surface particles. For the interaction between the fluid and the deformable solids, we model the forces that both phases, fluid and solid, exert upon each other. We demonstrate that our approach effectively handles complex coupling scenarios between fluids and thin deformable shells or highly deformable solids, and produces plausible results.

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Density maps for improved SPH boundary handling

Abstract: Breaking dam scenario with 45 dynamic rigid bodies interacting with 710k fluid particles. Right: Three water wheels driven by 790k fluid particles.

Cited by 52 publications

References 31 publications

Turbulent Micropolar SPH Fluids with Foam

Turbulent Micropolar SPH Fluids with Foam

Semi‐analytical Solid Boundary Conditions for Free Surface Flows

ISPH–PBD: coupled simulation of incompressible fluids and deformable bodies

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