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    PublicationAccess status: Open Access ,
    Boundary Handling Evaluation and Boundary Handling Enhancement for Adaptive Fluid Simulation in SPH
    (2026-08-07)
    One of the most popular fluid simulation methods in recent years is Smoothed Particle Hydrodynamics (SPH). Its flexibility, easy implementation, and natural free surface representation make it a state-of-the-art method in computer graphics. While fluid simulation is the main aspect of the SPH method, boundary handling also demands significant attention and effort to contain the fluid and prevent its penetration. There are a lot of boundary handling methods in SPH, and these methods differ in means of evaluation and comparison. It makes it difficult to comprehend which method is better in concrete circumstances. Moreover, each method also contributes differently to the fluid behavior that is not directly related to the fluid-boundary interaction. It causes different types of fluid behavior disruptions near the boundary for different methods. Despite the variety of boundary handling methods in SPH, there is no particle-based method that allows working with adaptive fluid. In this thesis, we address all aforementioned problems and propose our solutions to all of them. First of all, we developed a comprehensive protocol for boundary handling method testing. The protocol includes several testing scenarios with clear and unambiguous parameters of the simulation. It provides all the needed timing and all the needed values to collect from the simulation results. It also contains the format of data analysis and an example of the protocol's application in a real method evaluation. Secondly, we developed a decoupling method for the fluid-boundary interaction to prevent boundary handling from influencing fluid internal interaction and hence increase fluid stability near the boundary and obtain predictability of fluid behavior. The decoupling happens first of all in terms of fluid density, which is split into two densities, and based on the two densities, we obtain two independent pressures for the fluid particles near the boundary. The last thing we invented, as part of this work, is the adaptivity method for boundary particles. Currently, it is the only work on boundary adaptivity with a particle-based representation of boundaries. This method allows the use of particle-based boundaries with adaptive fluid in SPH. It significantly increases the potential of boundaries with respect to adaptive fluids.
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    Publication
    Decoupled Boundary Handling in SPH
    PArticle-based boundary representations are frequently used in smoothed pArticle hydrodynamics (SPH) due to their simple integration into fluid solvers. Commonly, incompressible fluid solvers estimate the current density and corresponding forces in case the current density exceeds the rest density to push fluid pArticles apart. Close to the boundary, the calculation of the fluid pArticles’ density involves both neighboring fluid and neighboring boundary pArticles, yielding an overestimation of density, and, subsequently, wrong pressure forces and wrong velocities leading to the disturbed fluid pArticles’ behavior in the vicinity of the boundary. In this paper, we present a detailed explanation of this disturbed fluid pArticle behavior, which is mainly due to the combined or coupled handling of the fluid–fluid pArticle and the fluid–boundary pArticle interaction. We propose the decoupled handling of both interaction types, leading to two densities for a given fluid pArticle, i.e., fluid-induced density and boundary-induced density. In our approach, we alternately apply the corresponding fluid-induced and boundary-induced forces during pressure estimation. This separation avoids force overestimation and reduces unintended fluid dynamics near the boundary, as well as a inconsistent fluid–boundary distance across different fluid amounts and different pArticle-based boundary handling methods. We compare our method with two regular state-of-the-art methods in different experiments and show how our method handles detailed boundary shapes.
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    Publication
    Evaluation of pArticle‐based smoothed pArticle hydrodynamics boundary handling approaches in computer animation
    Boundary handling is an important aspect of fluid simulation, and several boundary handling approaches exist in smoothed pArticle hydrodynamics (SPH), which have individual strengths and weaknesses. However, comparing different boundary handling approaches is challenging as there is no common basis for evaluations, that is, no universal set of experiments with quantitative evaluation across different methods, especially within computer animation where many evaluations rely mainly on visual perception. This Article proposes a set of experiments to aid the evaluation of the main categories of fluid‐boundary interactions that are important in computer animation, that is, no motion (resting) fluid, tangential and normal motion of a fluid with respect to the boundary, and a fluid impacting a corner . We propose ten experiments, comprising experimental setup and quantitative evaluation with optional visual inspections, that are arranged in four groups which focus on one of the main category of fluid‐boundary interactions. We use these experiments to evaluate three pArticle‐based boundary handling methods, that is, pressure mirroring, pressure boundaries, and moving least squares pressure extrapolation, in combination with two incompressible SPH fluid simulation methods, namely IISPH and DFSPH, to establish a quantifiable relation between different combinations of boundary handling with simulation approaches and the main categories of fluid‐boundary interactions. Finally, we summarize all results in a rating table and show how our experiments can be used to determine the promising method for specific requirements regarding a given constellation of fluid‐boundary interaction.
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