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Our ability to numerically model and understand the complex flow behavior ofsolid-bearing suspensions has increased significantly over the last couple ofyears, partly due to direct numerical simulations that compute flow aroundindividual interfaces and hence resolve unprecedented detail. While mostprevious studies focus on spherical particles, we develop a direct numericalapproach to capture rectangular particles. Our approach uses distributedLagrange multipliers to enforce rigid-body motion in the solid domain incombination with an immersed boundary method to correctly enforce the no-slipconstraint on the solid-fluid interfaces. An important component of our modelis an efficient particle collision scheme that prevents overlap betweenparticles of different shapes and allows for the transfer of both translationaland angular momentum during particle collision. We verify and validate ournumerical method through several benchmark cases. Applied to suspension flow,we test the hypothesize that particle rotations alter the aggregated dynamicsof the suspension even if the relative rotational energy of the particlesremains small as compared to the translational energy.

Rotation matters - Direct numerical simulations of rectangular particles in suspensions at low to intermediate solid fraction