ne.gif (2791 bytes)     NE581 Nuclear Reactor Shielding
                            Fall semester 2005

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Review for Test#2

For the Chapter 3 material, you need to be able to:

  • Describe the basic approach of quadrature integration and  perform a simple integration with quadrature provided.
  • Describe how the values and weights are found for a 1D Legendre quadrature.
  • Write down and define each of the terms of the the 1D slab transport equation on slide 9-3
  • Explain the need for an auxiliary equation.
  • Describe and apply each of the 4 auxiliary equations discussed: Step, Diamond difference, Weighted, and Characteristic.  (“Apply” means to arrive at the equations for the average flux and/or outgoing flux from the incoming flux and source.)
  • Describe the 1D sweeping strategy for positive and negative mu directions.
  • Describe how Reflecting, Periodic, and White boundary conditions are implemented in 1D discrete ordinates.

For the Chapter 4 material, you need to be able to:

  • Explain why cylindrical 1D requires two angular variables.
  • Define level symmetry.
  • Describe the ONE degree of freedom that level symmetry gives you.  From a given order (N) and m1, find the N(N+2)/8 angles in the 1st octant (each of which has a mu, an eta, and a xsi – all positive).
  • Derive 2D Cartesian diamond-difference equations.
  • Describe the sweep strategy for 2D Cartesian geometries.
  • Describe how ray effects arise (with a simple set of diagrams).
  • Describe how ray effects are dealt with.

For the Chapter 5 material, you need to be able to:

  • Write down and explain any of the terms of the general form of the Integral Transport Equation on slide [12-15]
  • From the above equation, derive the slab form of the equation on slide [12-19]
  • Given values of Si, Pii, Pii', DELTAi, SIGMAi, and SIGMAsi, solve for slab region fluxes for a simple problem
  • Set up the matrix equation for 2D I.T. as explained on 13-21 through 13-23 (given definitions on  slide 13-21).
As before, this will cover 90% of the test, with the other 10% based on creative application of the course material.


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