This lesson covers the concept of Flow Equations in Fourier Space, focusing on the incompressible Navie-Stokes. The lesson explains how to convert real space equations into Fourier space using the Fourier series. It discusses the basic idea of commuting the sum with d/dt and how the Fourier mode changes with time. The lesson also elaborates on the terms of the equation, including the non-linear term, pressure gradient term, force in Fourier space, and the viscous term. It further explains how to compute the pressure from the velocity field and the external force. The lesson concludes by highlighting the advantages of solving flow patterns at different scales using the spectral method or Fourier transform.

- The Fourier series is used to convert real space equations into Fourier space.
- The Fourier mode changes with time.
- The equation's terms include the non-linear term, pressure gradient term, force in Fourier space, and the viscous term.
- Pressure is computed from the velocity field and the external force.
- The spectral method or Fourier transform allows for solving flow patterns at different scales, providing a multiscale feature.

You are being redirected to our marketplace website to provide you an optimal buying experience. Please refer to our FAQ page for more details. Click the button below to proceed further.