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Ds Kumar Fluid Mechanics.pdf: Understand the Physics and Mathematics of Fluid Mechanics



The moving boundary problems are solved by unsteady flow computations coupled with six-degrees-of-freedom equations of rigid body motion. Parallel algorithms are developed for both computational fluid dynamics (CFD) solution and grid deformation steps. Meanwhile, a novel approach is developed for the parallelization of the local remeshing step. It inputs a distributed mesh after deformation, then marks low-quality elements to be deleted on the respective processors. After that, a parallel domain decomposition approach is used to repartition the hole mesh and then to redistribute the resulting sub-meshes onto all available processors. Then remesh individual sub-holes in parallel. Finally, the element redistribution is rebalanced.


Directs laboratory experiments in five facilities, including column/chamber experiments, flow of non-Newtonian fluids, sediment transport, and development of instrumentation for hydrological research. Directs multi-dimensional numerical research including simulation of two and three-phase flow in porous media, focusing on the role of local heterogeneity upon fate and transport, and management of aquifers (e.g., for Aquifer Storage and Recovery). Field experiments are ongoing in Oregon (atmospheric turbulence, river/aquifer exchange, artificial recharge of aquifers for habitat restoration), France/Switzerland/Spain/Germany (DTS), Chile (swelling soil hydrology), and across Africa (automated remote monitoring of hydrologic variables).




Ds Kumar Fluid Mechanics.pdfl


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