Meshless helmholtz-hodge decomposition.
Vector fields analysis traditionally distinguishes conservative (curl-free) from mass preserving (divergence-free) components. The Helmholtz-Hodge decomposition allows separating any vector field into the sum of three uniquely defined components: curl free, divergence free and harmonic. This decomposition is usually achieved by using mesh-based methods such as finite differences or finite elements. This work presents a new meshless approach to the Helmholtz-Hodge decomposition for the analysis of 2D discrete vector fields. It embeds into the SPH particle-based framework. The proposed method is efficient and can be applied to extract features from a 2D discrete vector field and to multiphase fluid flow simulation to ensure incompressibility.
Petronetto
Fabiano
F
Universidad Federal do Espírito Santo, Brazil.
Paiva
Afonso
A
Lage
Marcos
M
Tavares
Geovan
G
Lopes
Hélio
H
Lewiner
Thomas
T
D000465:Algorithms; D003196:Computer Graphics; D003198:Computer Simulation; D008962:Models, Theoretical; D012212:Rheology / Q000379:methods*