Convex Hull Fluid Interface Simulation for Surface Tension
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Solution Overview
Problem
Existing particle methods struggle to accurately simulate surface tension and handle wetting angles due to nonphysical behavior where internal particles are affected by surface tension, leading to difficulties in capturing contact surfaces and controlling dynamic motion.
Innovation Solution
A simulation method using a convex hull configuration algorithm to calculate the interface of a fluid model as a collection of particles, determining surface energy and tension, and applying a correction term to suppress nonuniformity, ensuring only surface particles are affected by surface tension.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If particle methods are used to simulate fluid, then moving boundaries and free surfaces can be handled easily, but it becomes unclear where the boundary of the continuum is, making it difficult to accurately simulate surface tension
Solution Approach 1:
The patent segments particles into surface particles and internal particles by calculating the convex hull of the particle group. This segmentation allows surface tension to be applied only to surface particles (those on the convex hull) while internal particles remain unaffected, resolving the contradiction between ease of handling moving boundaries and accuracy of boundary identification.
2Reliability
If surface tension is applied to all particles based on interparticle distance, then surface tension effect is introduced, but internal particles are also affected causing nonphysical behavior
Solution Approach 1:
The patent segments particles into surface particles (on convex hull) and internal particles (inside convex hull). Surface tension is applied only to surface particles, preventing the harmful effect of nonphysical behavior on internal particles while maintaining reliable surface tension modeling.
Solution Approach 2:
The patent applies surface tension locally only to surface particles identified by the convex hull algorithm, rather than uniformly to all particles. This local quality approach ensures that surface tension effects are physically accurate at the boundary while avoiding nonphysical effects in the interior.
3Reliability
If surface tension is added to boundary particles assuming decreased neighboring particles, then surface tension can be applied, but it is difficult to capture contact surfaces and control dynamic motion
Solution Approach 1:
The patent segments particles using the convex hull algorithm to clearly identify surface particles. This segmentation provides a precise geometric definition of the contact surface, enabling accurate capture of contact surfaces and control of dynamic motion at the fluid boundary.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach effectively simulates surface tension and wettability, preventing nonphysical behavior and stabilizing calculations, allowing for accurate representation of fluid motion and contact angles.
Implementation Method 1
calculating, in accordance with a convex hull configuration algorithm, an interface of a fluid model expressing the fluid as a collection of particles
Implementation Method 2
calculating surface energy of the calculated interface
Implementation Method 3
calculating surface tension of the interface according to the calculated surface energy
Data Source
AI summary
A processor calculates, in accordance with a convex hull configuration algorithm, an interface of a fluid model expressing the fluid as a collection of particles according to an input boundary condition and initial condition. The processor calculates surface energy of the calculated interface. The processor calculates surface tension of the interface according to the calculated surface energy. The processor outputs, for each predetermined time interval, a state of the fluid according to the calculated surface tension.