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diff --git a/typst/report.typ b/typst/report.typ deleted file mode 100644 index 112ed12..0000000 --- a/typst/report.typ +++ /dev/null @@ -1,55 +0,0 @@ -// Title Page -= Solid particle interaction in Stokes flow - -Author: "Claudius Holeksa" -Date: 2025-11-09 - -// Abstract -// == Abstract -// This is a brief summary of the report. It gives an overview of the objectives, methods, and conclusions. - -// Table of Contents -[toc] - -== Introduction - -For the understanding of near-well injections multiple elements such as multiphase behaviour, particle-solid interaction and -the geometry of the porous structure is required. -While at heart most numerical modelling approaches such as the Lattice-Boltzmann-Method are based on the Navier-Stokes Equations, -here we will take a glance on a more special case. -Since we are interested in very viscous cases with our Reynolds number (Re \< \< 1) our base equation reduces itself to the Stokes Equations, -which are well understand in terms of the description by Stokes [dummy, I mean the old paper from 1851]. -So the Navier-Stokes equations - -todo insert NS eqs here - -are reduced to - -todo insert S eqs here -// Rather move this to the lower chapters and use book citations I guess. Well, maybe also Stokes paper. The initial rant is quite fun - - -== Navier - -The Navier Stokes equations are governed as follows - -// we don't really need the external force here? do we? - -#math.equation( -block: true, -$ ρ((∂)/(∂t)u + (u · ∇)u) = −∇p + μ∇²u + f\ -∇ · u = 0 $ -) - -// Introduction -== Stokes flow - -While we are often interested in Navier-Stokes flows, on higher viscous fluids the viscosity dominates. - - -== Solid-Fluid interaction with Stokes flow - -So while - -// References -== References |
