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Reynolds number ReReVhV is characteristc velocityh is characteristic length is dynamic viscosityRe > 1 is turbulent limit (Euler equation)Solvers for NS equation• Penalty method with MAC• Finite Volume Method (FLUENT)• Turbulent case: k-ε model or spectralmethod• Lattice Boltzmann Method• Discrete methods: DPD, SPH, SRD, LG…CFD = Computational Fluid Dynamics
One particle in fluide.g. . pull sphere through fluidno-slipcondition:v 0Γu fluidv 0movingboundaryconditioncreate shear in fluid : exchange momentumdrag force(Bernoulli‘s principle)Drag forceF D dAstress tensoru ui jij xjxiijp η = is static viscosity
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Page 3 and 4: Elliptic particles (2D)Set F(A,B) )
Page 5 and 6: F F mg Ti Tiji xit1 xitvi( t)t
Page 7 and 8: Polyhedra (3d)A.V. Potapov, , C. S.
Page 9: Particles in Fluids• Sedimentatio
Page 13 and 14: Inhomogeneous flowIn velocity or pr
Page 15 and 16: Sedimentation• Sedimentation ist
Page 17 and 18: Flow through a porous mediumimporta

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