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diff --git a/typst/main.typ b/typst/main.typ index 3032a4b..623dca6 100644 --- a/typst/main.typ +++ b/typst/main.typ @@ -171,18 +171,34 @@ And while sieving and bridging results from purely mechanical forces aggregation == Discusion -The arches resulting from clogging are often inherently unstable, but with the progression of aggregation arrive at less unstable states. +The particles forming arches are often inherently unstable. Slight fluctuations in flow rate, local velocity gradients or the particle shape +can impact the particle arch formation and restore partial flow. +But with the progression of aggregation arrive at less unstable states. Which in turn makes a stochastic analysis of particles in different conditions@laurez2025bridging based on different widths feasible. Laurez@laurez2025bridging goes into detail based on CITE FIG how probable clogging mechanisms are, while these are quite indepth, opportunities -in relation to multiphase fluid interaction with the solid structures. -An interesting case +in relation to multiphase fluid interaction with the solid structures arise. +Another interesting case // Insert png == Lattice-Boltzmann-Method +Direct numerical simulation of creeping flow around many interacting particles in realistic porous structures is computationally challenging using +conventional CFD methods. +The Lattice-Boltzmann-Method offers an efficient mesoscopic alternative. +Instead of solving the Navier-Stokes equations directly, LBM is a celullar automaton on an equidistant grid based on a stochastic particle +distribution among discretized velocities, so called descriptors. + +Through these stochastic behaviours, the macroscopic quantities such as velocity and pressure emerge naturally, recovering the Stokes flow +or Navier-Stokes flow. + +LBM is particularly suitable for simulating flow in complex porous geometries, because boundary conditions can be implemented directly at the +cell level, making it ideal for digital rock simulations and is often employed in various fields. +The equisdistant grid and the properties of a cellular automaton make it a prime target for acceleration due to the local +dependencies + === Immersed Boundary Method === Homogenized Lattice-Boltzmann |