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Advective Flows

Advective Flows. Surface Water Flow Options. Specified river, tributary flows (net flow) Specified lake, estuary flows (separate flows) Calculated flows using internal kinematic wave equations Calculated flows from external hydrodynamic model. Surface Water Flow Options – WASP Screen.

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Advective Flows

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  1. Advective Flows

  2. Surface Water Flow Options • Specified river, tributary flows (net flow) • Specified lake, estuary flows (separate flows) • Calculated flows using internal kinematic wave equations • Calculated flows from external hydrodynamic model

  3. Surface Water Flow Options – WASP Screen

  4. Transport Flow Fields • Type 1 - Water Column flow carries both dissolved and particulate material • Type 2 - Pore Water flow carries dissolved material only • Type 3,4,5 – Solids “i” settling/resuspension carries particulate fraction only • Type 6 – Water evaporation/precipitation adjusts water volume only

  5. Transport Fields – WASP Screen

  6. WASP Transport Scheme • Each Flow Field can have multiple flow patterns and time functions. • WASP sums the individual flows for each segment to determine overall transport

  7. Flow Patterns – WASP Screen

  8. Flow Time Functions – WASP Screen

  9. 10 cms 10 cms 10 cms 5cms 5 cms 5 cms 5 cms WASP uses each flow separately WASP sums and uses net flow Surface Flow Options 1. Net Flow Option + = 2. Gross Flow Option + =

  10. WASP internally calculates flows, volumes, depths, widths Surface Flow Options 3. Kinematic Wave

  11. Surface Flow Options 4. Hydrodynamic Linkage Hydrodynamic Interface Hydro WASP

  12. Examples of Specifying Flows

  13. 0 1 0 Flow through Simple Pond Flow Path Continuity Function Flow Time Function Time, days

  14. 0 0 1 2 3 4 5 6 Upstream Flow Through River Flow Path Continuity Function Flow Time Function Time, days

  15. 7 0 0 1 2 3 4 5 6 Flow through River with Tributary Flow Path Continuity Functions Flow Time Function Time, days

  16. 4 0 0 1 2 3 6 7 Flow Path Continuity Function Flow Time Function 5 Time, days Branched Flow through River

  17. Kinematic Wave Option • Applicable to 1-dimensional, branching streams, rivers • Calculates flow wave propagation and resulting variable flows, volumes, depths, and velocities throughout the network • Default rectangular channel shape unless user specifies hydraulic coefficients

  18. Kinematic Wave Equations Continuity equation (mass balance): Momentum equation (momentum balance): gravity friction

  19. Kinematic Wave Equations Substitute in Manning’s equation: Kinematic wave differential equation:

  20. Kinematic Wave Input Data • Time-variable upstream and tributary inflows (m3/sec) • Continuity flow paths for main stem and each tributary (IQ, JQ, BQ) • Channel properties: • length (m), width (m), initial depth (m) • hydraulic exponents set to 0 • bottom slope (m/m) • Manning’s roughness coefficient

  21. Kinematic WaveDynamic Response Profiles

  22. Kinematic WaveResponse to Stepwise Flows

  23. River Brandywine Flows – Annuminas • Flow Pattern • Average Flow, m3/sec

  24. River Brandywine Flows – Hobbiton • Flow Pattern • Average Flow, m3/sec

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