Analysis, scientific computing and fundamental studies in fluid mechanics. Final report Number 21, May 1, 1997--September 30, 1998
California Inst. of Tech., Pasadena, CA (United States) · 1998
This report is a summary of work in progress and completed. Subject areas covered are: effective numerical methods for interfacial flows; multiscale finite element methods: analysis and applications; an efficient boundary integral method for the Mullins-Sekera problem; numerical simulation of three-dimensional water waves using a fast summation method; numerical solutions of steady-state rising bubbles; solidification coupled to fluid convection; turbulence models; exact solution of very viscous and Hele-Shaw flow; fundamental vortex dynamics; functional methods for turbulence; structure functions for isotropic turbulence; and water waves.