If solved
Flow Simulation With Guarantees
Once it is clear when Navier-Stokes solutions stay smooth, flow programs can come with mathematical error guarantees.
Open in the interactive tree →Weather models, aircraft design and blood-flow simulation solve Navier-Stokes approximately and without proof that the answer is reliable. A full theory of regularity and of turbulence would allow numerical methods with proven error bounds.
What it brings
- Weather and climate models with proven error bounds
- More reliable design of aircraft, turbines and heart valves
- A real understanding of turbulence