When solid objects are discretized within the computational domain of a computational fluid dynamics model in order to simulate localized effects within particle laden flow, standard methods require a consistent mesh topology be maintained throughout the simulation. This mesh topology must remain consistent even as these particles are moving and simultaneously interacting with the flow, the system walls or other system objects, and potentially multiple particles. Contacting particles, particle agglomerate motion, and processes involving agglomerate break-up/erosion or burning of particles are among the conditions where the physical topology of the particle systems may be altered. The effects of these physical topological alterations are often critical to the phenomena being examined and so must be accounted for even though the mesh topology in the computational model must remain consistent. In this work, a set of techniques for incorporating the effects of physical system topology changes while maintaining a fixed mesh topology in a computational fluid dynamics model have been developed. These methods include changes in the boundary condition type, and the input of mass, momentum, or energy sources. The application of these developed methods to specific particle laden flow conditions will demonstrate the capabilities of the techniques developed and the usefulness of the methods for different applications. Such applications include the flow occurring when the material of a burning particle is consumed and the flow between contacting particles in motion. Through the developed techniques, the conditions and phenomena occurring in particle laden flow that can be studied through computational fluid dynamics based methods can be expanded.