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In this study we define the continuous height function to investigate the approximation of an interface line and its geometrical properties with the height function method.
Using static equations, the location of virtual turning centre versus shaking height function was defined.
In this paper, a mesh-decoupled height function method is proposed and tested.
The Gibbs-Thomson temperature is calculated using the weighted mean curvature and a height function technique.
In this work, we generalize the height function method to nonuniform rectangular grids.
Therefore, starting with the height function, by taking its derivatives, if you manufacture a force, this will be none other than the fact of adding up the changes.
An improved version of the height function technique is proposed, based on introducing a correction of the height function discretization error estimated from the local osculating spheres at interface points.
In all the other tested cases, the height function model and the tensile force method perform equally well.
The single bubble simulations showed that the height function method works best for small bubble (Eo<1).
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Across the tests, the embedded height-function technique outperforms contemporary methods and its accuracy approaches the accuracy that the traditional height-function technique exemplifies on uniform cartesian meshes.
The proposed method is proven to be analogous to the height-function method for Cartesian configurations with consistent heights, and can be interpreted as a generalisation of the height-function method to meshes of any type.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com