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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 theircharacteristics  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)
 Finite differences (solving equations on a

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 andfluxes . How is this represented in the simplereservoir model?Change in storage = sum of allfluxes
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