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Stokes limithydrodynamic interaction between the particles v M ( r r ) vi ij i j jjimobility-matrix<strong>for</strong> Re = 0 mobility matrix exactDynamics (Brady and Bossis)Stokesian Dynamicsinvert a full matrix only a few thousand particlesNumerical techniques12Calculate stress tensor directly by evaluatingthe gradients of the velocity fieldthrough interpolation on the numerical grid,e.g. using Chebychev polynomialsMethod of Fogelson and Peskin:Advect markers that were placed in theparticle and then put springs betweentheir new an their old position.These springs then pull the particle.