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E-book A Diffusion Hydrodynamic Model
The Diffusion Hydrodynamic Model (DHM), as presented in the 1987 USGS publication, was one of the first computational fluid dynamics computational programs based on the groundwater program MODFLOW, which evolved into the control volume modeling approach. Over the following decades, others developed similar computational programs that either used the methodology and approaches presented in the DHM directly or were its extensions that included additional components and capacities. Our goal is to demonstrate that the DHM, which was developed in an age preceding computer graphics/visualization tools, is as robust as any of the popular models that are currently used. We thank the USGS for their approval and permission to use the content from the earlier USGS report. In this chapter, the governing flow equations for one- and two-dimensionalunsteady flows that are solved in the diffusion hydrodynamic model (DHM) arepresented along with the relevant assumptions. A step-by-step derivation of thesimplified equations which are based on continuity and momentum principles aredetailed. Characteristic features of the explicit DHM numerical algorithm are discussed. Many flow phenomena of great engineering importance are unsteady incharacters and cannot be reduced to a steady flow by changing the viewpoint of theobserver. A complete theory of unsteady flow is therefore required and will bereviewed in this section. The equations of motion are not solvable in the mostgeneral case, but approximations and numerical methods can be developed whichyield solutions of satisfactory accuracy.
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