Inner Structure of Cloud Cavity on a Foil Section

Collapsing stage of cloud cavity and resulting violent shock pressure have been investigated by many researchers, because the knowledge of cavitation erosion is of practical importance and the dynamics is one of the most challenging problems in the field of two-phase flow. When a researche Collapsing stage of cloud cavity and resulting violent shock pressure have been investigated by many researchers, because the knowledge of cavitation erosion is of practical importance and the dynamics is one of the most challenging problems in the field of two-phase flow. When a researcher intends to investigate the phenomenon numerically or experimentally, he or she must know the structure of the cloud cavity. The authors investigate cloud cavity, employing an off-axis laser holography system. This paper is a brief report concerning the inner structure of cloud cavity on a foil section

Efficient modeling of internal cracks for Laplace problem by XFEM using Joukowski mapping

In this study, the extended finite element method (XFEM) is applied to the two-dimensional Laplace equation with an internal discontinuity. The real part of a complex velocity potential from potential flow theory is used to repre- sent the enrichment function in this technique. The Joukowski mapping, which maps a circle to a line, is mainly used to obtain a solution around an airfoil in two-dimensional potential flow; here, we extend that solution to model magnetic flux around an internal crack. The effectiveness of the proposed method is veri- fied using numerical examples of single and multiple cracks. The L 2 error norm is used to evaluate the accuracy of the proposed method in comparison with XFEM using previously proposed enrichment functions (Heaviside and analyt- ical f orms for a single crack tip). The proposed method gives better results than those of the existing XFEM in the case of a coarse mesh