##### Speaker

Dr. Byungjoon Lee

##### Title

Energy Stable Approximations for Incompressible Navier-Stokes Equations

##### Physical Location

Allen Hall 14

**Abstract:** The conservation of energy is a prominent law of physics. The motion of a physical object may increase or decrease each particular energy, but keeps the total sum of energies. When a fluid streams down hills, a certain amount of the gravitational potential energy is being converted to kinetic energy of the same amount. The energy transfer between gravitational potential and kinetic energy is well known and familiar to even non- scientists, but much less known is the transfer between surface energy and kinetic energy when surface tension matters. This talk introduces finite difference approximations for the incompressible Navier-Stokes equations with the surface tension.