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Moving Boundary Problems are Us

Investigating flow over fans and interactions with topography using Exner and Shallow Water Equations, with focus on enhancing transport exchange in stream gravel beds. Utilizing transient advection-dispersion modeling to study restoration strategies. Comparison with existing lab experiments. Meshless and grid-based numerical methods for flexible and efficient solutions.

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Moving Boundary Problems are Us

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  1. The development and application of numerical methods for transport models towards an integrated frame-work for modeling earth surface dynamics from source to sink Voller, Paola, Mohrig, Parker Wolinsky, Jerolmack Kim, Qian, Sittoni Stefan, Swenson Moving Boundary Problems are Us

  2. Interactions Between Flow and Fan Topography Investigate by solving Exner + Shallow Water Eq Over Different Tops. Flat Long Tran. Combo Some JT Questions: How Does topography influence the flow over fans? Is there fan geometry that crates a bypassing condition ?

  3. Transport exchange between a stream and its gravel bed is greatly enhanced by surface waves and/or bed forms. Through Solution of a transient advection-dispersion can be shown that the laterally averaged concentration penetration CAN Be described by a 1-D Dispersion Equation 2-D Advection Dispersion y Can be used to answer questions What restoration devices can be in place to create conditions to increase (dissolved oxygen for fish eggs) or decrease (organic carbon) exchange with the bed. A Depth dependent dispersion can Be obtained from problem par. Hence an easy to use meaningful management tool Further work compare with Clark Stream-Lab exp.

  4. MESH---FEM “CLOUD”---SPH Even Less Efficient solution Ax=b — Very Easy to Fit Geometry Easy to adapt Less Efficient solution Ax=b — Easy to Fit Geometry Difficult to adapt Application of Meshless Methods Increasing Flexibility GRID---FIN-DIFF Efficient solution Ax=b — Difficult to Fit Geometry

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