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Pore-Scale Lattice Boltzmann Simulations Of Inertial Flows In Realistic Porous Media: A First Principle Analysis Of The Forchheimer Relationship, Chukwudi Paul Chukwudozie

LSU Master's Theses

With recent advances in the capabilities of high performance computing (HPC) platforms and the relatively simple representation of complex geometries of porous media, lattice Boltzmann method (LBM) has gained popularity as a means of solving fluid flow and transport problems. In this work, LBM was used to obtain flow parameters of porous media, study the behavior of these parameters at varying flow conditions and quantify the effect of roughness on the parameters by relating the volume averaged flow simulation results to Darcy and Forchheimer equations respectively. To validate the method, flow was simulated on regular and random sphere arrays in …