Pushing the cell Péclet number to 2 drove the solution to -0.33 — where the energy to minimize disappeared
·7 min read
Advection breaks the symmetry of the stiffness matrix, and the minimum total potential energy principle goes with it. Here is the real cause of Galerkin oscillations and what stabilization buys instead.
Raise the Velocity, Lose 27% of Your Diffusion — The Extra Flux in LBM Convection-Diffusion
·6 min read
Set D through tau in a lattice Boltzmann convection-diffusion model and it still spreads at D(1-u²/cs²). Where Chapman-Enskog drops the extra flux, and the source term that erases it.