Adaptive surface mesh remeshing based on a sphere packing method and a node insertion/deletion method

Guo, Yufei; Hai, Yongqing

doi:10.1016/j.apm.2021.05.003

Cited by 4 publications

(1 citation statement)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ivrissimtzis et al used a neural network based algorithm to achieve high-quality meshing [22]. Guo and Hai used tightly packed spheres and adjusted their radius, so that connecting the centers of every three nearby spheres yielded high-quality triangles [23]. We refer to [19,24,25] for more comprehensive reviews of this strategy.…”

Section: Limitations Of Current Approachesmentioning

confidence: 99%

Remeshing flexible membranes under the control of free energy

Wang

Danuser

2022

PLoS Comput Biol

View full text Add to dashboard Cite

Cell membranes are flexible and often undergo large-scale morphological changes during processes like mitosis, protrusion and retraction, or vesicle fusion. Mathematical modeling of cell membranes depends on a representation of the free-form surface by discrete meshes. During morphological changes, these meshes must be adjusted under the minimization of the total free energy. Current methodology for meshing is limited in one of two ways: 1) Free energy-dependent methods have no restriction on the mesh geometry. The resulting irregular meshes cause artifacts in follow-up models of morphodynamics. 2) Geometry-dependent methods maintain mesh quality but violate the physics of free energy minimization. To fill this gap, we regulate mesh geometries via a free-energy-determined remeshing process: adding and removing mesh elements upon morphological changes based on barrier crossings in a double-barrier potential between neighboring vertices in the meshes. We test the method’s robustness by reproducing the morphodynamics of red blood cells and vesicle fusions; and we demonstrate the method’s adaptability by simulating the formation of filopodia, lamellipodia and invaginations. Finally, we use the method to study a mechanical decoupling effect of two connected membrane tethers that has been recently observed experimentally, but has not been mechanistically explained in the context of a complete membrane surface. We propose a biophysical model that strengthens the decoupling effect and broadens the original interpretation of the experiment. The method is developed in C/Matlab and distributed via https://github.com/DanuserLab/biophysicsModels.

show abstract

Section: Limitations Of Current Approachesmentioning

confidence: 99%

Remeshing flexible membranes under the control of free energy

Wang

Danuser

2022

PLoS Comput Biol

View full text Add to dashboard Cite

show abstract

Vibration analysis of permanent magnet synchronous motor using coupled finite element analysis and optimized meshless method

Wei

2022

Nonlinear Dyn

View full text Add to dashboard Cite

FEA-meshless method and complete FEA coupled method are compared. It is worth noting that optimized method significantly improves accuracy, robustness and computational speed at the same time. In short, the proposed electromagnetic-structure coupling calculation method provides a novel alternative for the multi-physics coupling calculation of rotating machinery combining FEA and meshless simulation methods.Keywords Finite element analysis. Meshless method. Optimized meshless method. Coupled analysis.

show abstract