Q.1
What are the two possible variable arrangements for the finite volume method?
  • a) Cell-centred and Vertex-centred
  • b) Cell-centred and Face-centred
  • c) Face-centred and Vertex-centred
  • d) Face-centred and Boundary-centred
Q.2
The variables are calculated at the __________ in the vertex-centred arrangements.
  • a) element-edges
  • b) face-centres
  • c) centroids
  • d) vertices
Q.3
Dual cell or dual mesh method is used to __________
  • a) create boundary elements
  • b) create elements around a vertex
  • c) create cell-centred arrangement
  • d) create boundary faces
Q.4
Consider a 2-D finite volume problem. A vertex-centred arrangement is created by connecting the centroids of the elements sharing the vertex. What is the problem that may arise because of this arrangement?
  • a) Unstructured elements
  • b) Conjunctional elements
  • c) Orthogonal elements
  • d) Overlapping elements
Q.5
Consider a 3-D problem. Non-overlapping elements can be created by joining __________
  • a) face-centroids and edge-centroids
  • b) cell-centroids and edge -centroids
  • c) cell-centroids, face-centroids and edge-centroids
  • d) cell-centroids and face-centroids
Q.6
In vertex-centred arrangements, the variables at the vertices are only known. How is the variation of variables in these elements calculated?
  • a) Interpolation profiles or Taylor series expansion
  • b) Shape functions or Taylor series expansion
  • c) Shape functions or interpolation profiles
  • d) Shape functions or Fourier series expansion
Q.7
Vertex-centred approach gives accurate solution for ___________ but not for _________
  • a) diffusion term, convection term
  • b) source term, convection term
  • c) convection term, diffusion term
  • d) convection term, source term
Q.8
Cell-centred FVM is __________ accurate.
  • a) first-order
  • b) second-order
  • c) third-order
  • d) fourth-order
Q.9
Which of these is needed for a vertex-centred arrangement and not for cell-centred elements?
  • a) Pre-defined shape functions
  • b) Face-centroids
  • c) Edge-centroids
  • d) Cell-centroids
Q.10
The cell-centred arrangements are disadvantageous when we have ___________
  • a) Non-conjunctional and non-orthogonal elements
  • b) Conjunctional and orthogonal elements
  • c) Unstructured and non-orthogonal elements
  • d) Structured and orthogonal elements
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