National University of Sciences and TechnologyCollege of Electrical & Mechanical EngineeringAssignment-2: Computational Fluid Dynamics-I

Subject Code: ME-831 Submission Deadline: 09-10-2014

Question # 1:

Derive a third-order backward difference approximation for f/x using Taylor series expansion.

Question # 2:

Derive a first-order forward difference approximation for the mixed partial derivative 2f/xy.

Question # 3:

Find a forward difference approximation of the order x for 6f/x6.

Question # 4:

Determine f/x at point A, ensuring second order accuracy on a non-uniform grid, usingTaylor series expansion. The function values are known at point a, b and c.

Question # 5:

Determine the value of x and y to make the following PDEs elliptic, parabolic and hyperbolic.

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Question # 6:

Classify the following system of PDEs

Question # 7:

Classify the following system of PDEs

Consider the three following cases

Question # 8:

Consider the system

a) Reduce the system to a fist-order system.

b) Write the system in vector form.

c) Classify the system.

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