Numerical Simulations of Free-Surface Incompressible Flows

This research monograph is an excellent resource for§graduate students and senior researchers in the area§of Computational Fluid Dynamics. It develops a§numerical method for computer simulations of§multi-component flows involving capillary free§surfaces, and provides detailed algorithm§implementation notes in two and three dimensions. The§monograph§also contains a comprehensive review of relevant§solution methods for the incompressible Navier-Stokes§equations and techniques for managing moving boundaries.§§Chapter one introduces a new projection method§for the incompressible Navier-Stokes equations. The§normally coupled velocity and pressure are split and§solved for in two separate steps using a low-order§Finite Element. The proposed method guarantees exact§local mass conservation at a reduced computational§cost. Chapter two presents an innovative technique to§track free-moving interfaces. The technique modifies§the computational grid in the vicinity of each§interface to avoid computational cells intersected by§the interface while preserving the connectivity of§the mesh.