Transient, three-dimensional potential flow problems and dynamic response of the surrounding structures. Part I: Description of the fluid dynamics by a singularity method (computer code SING)

Abstract

In Part I a singularity method—also called boundary integral equation method or panel method—has been developed. It is applicable especially to highly transient internal flow problems with any three-dimensional geometry including walls wetted on both sides. The boundary conditions are prescribed in terms of pressures and/or accelerations. The method is primarily based on a recently developed dipole element treatment for incompressible fluids. Such elements (panels) can be fitted to the fluid boundary or any enveloping surface. Also, point sources may be included. The applicability of the method is demonstrated by two different examples: the incipient flow in a T-joint and the oscillating flow in the pressure suppression system of a boiling water reactor. In Part II the coupling of the transient flow problem with the dynamic behavior of the surrounding structure will be investigated.