When pulling a wire from soap water, a thin soapy surface creates. Its shape results from the equilibrium between superficial tension and gravity. This project aims at computing such a surface given a description of the wire(s).
From a mathematical standpoint, given an open set of boundary
, and a function
, the exact formulation consists in finding a solution
s.t. :
However, this problem is ill-formulated, so we consider, for
Calcul:
- classe Vecteur :
- classe Matrice :
- classe Optimiseur : gradient à pas variable (RL de Wolfe), gradient conjugué, BFGS (en cours)
Structure de données:
- classe Point, Segment, Triangle: héritent de Shape
- classe Maillage: contient tous les nodes, points segments et triangles de la surface considérée. Le constructeur se base sur un fichier msh.