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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