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authorClaudius "keldu" Holeksa <mail@keldu.de>2025-11-12 12:36:43 +0100
committerClaudius "keldu" Holeksa <mail@keldu.de>2025-11-12 12:36:43 +0100
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@@ -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