A new simulation framework was created for modeling the dynamics of arbitrarily shaped particles dispersed in Newtonian fluid. Theoretical complexity usually restricts suspension simulations to those for spheroids. This new simulation is loosely based on the Stokesian Dynamics method including long range hydrodynamic interaction and uses spheres as building components for greater particulates of arbitrary shape. This approach is capable of accurately reproducing the dynamics of an isolated arbitrarily shaped particle. As verification, the simulated results are compared against known results for a rod-like particle. An elongated rod-shaped structure made from linked spheres is shown to reproduce the well-known elongated ellipsoidal particle dynamics described by [Jeffrey Proc R Soc Lond A 102:161-179, 1923]. The predicted orbital period and spin rates for a fiber in shear are reproduced and compare well with theoretical prediction over a wide aspect ratio range. Predicted particle dynamics for other shaped particles are then demonstrated.