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A new mesh smoothing method designed to cluster cells near a dynamically evolving interface is presented.
We develop a general thermodynamical description of an evolving interface appropriate to situations far from equilibrium.
Our methods for local h-adaptivity efficiently capture the evolving interface between the tumor and the neighboring healthy tissue with remarkable accuracy in all cases.
The traditional level set method works in the trace space of the evolving interface, and hence disregards any parameterization in the interface description.
Our approach maintains an explicit backward correspondence from the evolving interface to the initial one, by advecting the initial point coordinates with the same velocity as the level set function.
This note describes a simple and robust procedure for the accurate computation of values of the indicator function along and near the solid material boundary that is in contact with the evolving interface, as is common in crystal growth on a substrate (solidification and vapor/liquid-phase epitaxy).
Similar(41)
This paper presents a new conservative level set method for numerical simulation of evolving interfaces.
However, large deformations, complex geometries, and evolving interfaces makes generation of such grids difficult.
Thereby, the proposed technique can effectively model any acoustically coupled system having locally varying medium phases and evolving interfaces.
The new methodology accurately captures evolving interfaces on any arbitrary, non-overlapping mesh and conserves mass within the limits of the applied solver tolerance.
A novel adaptive mesh refinement (AMR) strategy based on the moment-of-fluid (MOF) method for volume-tracking of evolving interfaces is presented.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com