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In filtration processes it is necessary to consider both, the interaction of thefluid with the solid parts, as well as the effect of particles carried in the fluidand accumulated on the solid. In this first part a closer look is taken on theinfluence of the fluid on the solid regions. The required algorithm to couplethe governing differential equations is derived on the basis of the equations,governing the solid and fluid regions. For discretization, only one singlecomputational mesh is used and this is adjusted to the deformation at eachtime-step. The simulation of the fluid-structure interaction is realised in asingle finite volume flow solver on the basis of the OpenSource softwareOpenFoam.