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Summary Water and Air Flow Numerical Techniques

- Water and Air Flow Numerical Techniques
- 2020 - 2021
- Wageningen University (Wageningen University, Wageningen)
- Earth and Environment
176 Flashcards & Notes
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A snapshot of the summary - Water and Air Flow Numerical Techniques

  • Lec: Introduction + FD

  • There's various types of flow models, what is ours called?
    Environmental flow models
  • How do we describe environmental flow models?
    In terms of balance equations, where balance equations are defined as fluxes
  • Name 3 techniques that can be used to solve environmental flow models? Describe their characteristics

    • Finite differences (solving equations on a spatial grid at the node)
    • Finite volumes (budgeting flow in control volumes; representative area attached to node)
    • Finite elements (budgeting flow in control volumes with more accuracy)
  • How do internal and external fluxes differ?
    Internal: advection & diffusion within the system
    External: Spatial (2D) eg precipitation, line (1D) or point (locally) eg exit at water reservoir
  • What is implied in finite volumes and why?
    Conservation of mass, as representative areas are attached to the node and the edges of this volume are budgetted
  • What is the difference between state variables and parameters?
    State variable (s): change over time and describe state of system at certain time & space. 
    Parameters: given and fixed
  • What do the terms of the advection/diffusion equation mean?
    1) change of state over time
    2) u: advection: transport with mean velocity
    3) D: diffusion: spread of molecules/turbulence
  • What is an ODE as explained by Chiel?
    An equation that tells you how the state variable changes over time, as a function of the state variable itself and the time.
  • Which form of ODE will we use in WANT, where s is the state variable?
    Ds/dt = f (t,s)
  • Environmental flow models are often about storage change and fluxes. How is this represented in the simple reservoir model?
    Change in storage = sum of all fluxes
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