Computational Fluid Dynamics Finite Difference Method Online Exam Quiz
Computational Fluid Dynamics Finite Difference Method GK Quiz. Question and Answers related to Computational Fluid Dynamics Finite Difference Method. MCQ (Multiple Choice Questions with answers about Computational Fluid Dynamics Finite Difference Method
Find the first-order forward difference approximation of (frac{partial u}{partial x})_{i,j} using the Taylor series expansion.
Options
A : frac{u_{i,j+1}-u_{i,j}}{2 Delta x}
B : frac{u_{i+1,j}-u_{i,j}}{2 Delta x}
C : frac{u_{i,j+1}-u_{i,j}}{Delta x}
D : frac{u_{i+1,j}-u_{i,j}}{Delta x}
Find the second-order accurate finite difference approximation of the first derivative of the velocity component (u) in the x-direction using the Taylor series expansion. (Note: i and j are in the x and y-direction respectively).
Options
A : frac{u_{i,j+1}-u_{i,j-1}}{Delta x}u i,j+1 ?u i,j?1 ?x
B : frac{u_{i+1,j}-u_{i-1,j}}{Delta x}
C : frac{u_{i+1,j}-u_{i-1,j}}{2Delta x}
D : frac{u_{i,j+1}-u_{i,j-1}}{2Delta x}
Find frac{partial u}{partial r} at point 1 using forward difference method.
Options
A : 1000
B : 100
C : 500
D : 5000
Order of accuracy m means _____________
Options
A : as the grid size is reduced, the approximations converge to the exact solution with an error proportional to m powers of the grid size
B : as the grid size is reduced, the approximations converge to the exact solution with an error proportional to m times of the grid size
C : as the grid size is reduced, the approximations diverge from the exact solution with an error proportional to m powers of the grid size
D : as the grid size is reduced, the approximations diverge from the exact solution with an error proportional to m times of the grid size
What is the least order of accuracy for the second derivatives?
Options
A : first-order
B : third-order
C : fourth-order
D : second-order
Consider the equation (frac{partial u}{partial y})_{i,j}=(frac{u_{i,j}-u_{i,j-1}}{Delta y})(?u?y ) i,j =(u i,j ?u i,j?1 ?y ) formulated using the Taylor series expansion. Find the type of equation.
Options
A : first-order forward difference
B : first-order rearward difference
C : second-order forward difference
D : second-order rearward difference
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