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Computational Fluid Dynamics
Advanced Computational Fluid Dynamics
Quiz 1
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Q.1
Which of these statements is true?
a) The Gauss-Gradient method is a special case of the least-square gradient method
b) The least-square gradient method is a special case of the Gauss-Gradient method
c) The least-square method is not connected with the Gauss-Gradient method
d) The least-square method is suitable only for the Cartesian grids
Q.2
What is the advantage of the least-square method over the other methods?
a) Computational ease
b) Accuracy
c) Flexibility
d) Stability
Q.3
What is the disadvantage of using the least-square method?
a) Inconsistent
b) Less convergence rate
c) Instability
d) Computational cost
Q.4
The weight used in the least-square method is a function of __________
a) twice the distance between the vertex and the centroid of the cells
b) square of the distance between the vertex and the centroid of the cells
c) inverse of the distance between the vertex and the centroid of the cells
d) the distance between the vertex and the centroid of the cells
Q.5
In the least-square method, the gradient is computed using ___________
a) trial and error method
b) optimization method
c) weighted average
d) predictor-corrector method
Q.6
The gradient is found in the least-square method by solving ____________
a) a system of n equations
b) a single equation
c) a system of n2 equations
d) a system of 2n equations
Q.7
The least-square method is exact when ____________
a) the system is two-dimensional
b) the system is linear
c) the system is two-dimensional
d) the system is quadratic
Q.8
While using the Cartesian grids, the coefficient matrix becomes ____________
a) a square matrix
b) an upper triangular matrix
c) a diagonal matrix
d) a lower triangular matrix
Q.9
The least-square method is ____________
a) at least first-order accurate
b) at least second-order accurate
c) first-order accurate
d) second-order accurate
Q.10
The diagonal elements of the coefficient matrix obtained by applying the least-square to Cartesian grids are ___________
a) the ratio of the grid sizes and the weights in the x, y, z-directions
b) the product of the grid sizes and the weights in the x, y, z-directions
c) the weights in the x, y, z-directions
d) the grid sizes in the x, y, z-directions
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