Detecting complex singularities of a Hele-Shaw flow
Centre de Recherche Paul Pascal - Avenue Schweitzer, 33600 Pessac, France
2 Centre de Physique Théorique et de Modélisation, UA1537 CNRS, Université de Bordeaux I - 19 rue du Solarium, 33175 Gradignan, France
Accepted: 23 December 1996
We describe a numerical method to measure the location and strength of complex singularities of a Hele-Shaw flow. We are able to detect the singularities with exponent (close to) , predicted by perturbative calculations. We also give numerical evidence for a new mechanism of singularity generation.
PACS: 47.20.-k – Hydrodynamic stability / 03.40.Gc – Fluid dynamics: general mathematical aspects / 68.10-m – Fluid surfaces and fluid-fluid interfaces
© EDP Sciences, 1997