New Math Model Solves Long-Standing Problem in Fluid Simulation
Researchers have cracked a fundamental challenge in computational fluid dynamics that has plagued engineers for decades. The breakthrough enables computers to accurately simulate complex fluid interactions—like oil and water mixing—while guaranteeing energy stability, a property critical for reliable industrial simulations in oil and gas, manufacturing, and climate modeling.
Originaltitel: An Energy Stable Incompressible Multi-Phase Flow Formulation
<p>We show that a reformulation of the governing equations for incompressible multi-phase flow in the volume of fluid setting leads to a well defined energy rate. New nonlinear inflow-outflow and solid wall boundary conditions bound the energy rate and lead to an energy estimate in terms of only external data. The new formulation combines perfectly with summation-by-parts operators and leads to provable energy stability.</p>