Finite Volume 2

Don’t just review the notes to answer these questions, literally write the answers down on paper, as if you were taking a quiz.

  • When we have variable material properties for transport (like diffusivity, thermal conductivity, or viscosity), how is the face value computed?
    • Why is this better than using a simple linear interpolation?
  • T/F: while one method of evaluating material properties at faces is better than the other, both methods will be strictly conservative when used in Finite Volume methods.
  • Schetch the temperature profile that would develop between two adjacent materials subject to conduction when the material on the right is an insulator.
  • T/F: a linear temperature profile between two materials with different thermal conductivities implies a discontinuous heat flux.
  • What is grid decoupling?
    • Draw a picture to illustrate the problem in 1D and 2D.
    • What is one method for overcoming grid decoupling problems?