JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech III COMPUTATIONAL AERODYNAMICS Previous Question Paper (February - 2023 - R18)

List any two applications of Computational Fluid Dynamics.

Write the conservation form of Euler Equation.

State and explain the usage of characteristic curve.

Explain domain of dependence and range of influence with neat sketch.

What do you mean by truncation error in numerical approach?

Show the necessity of grid point in discretization with neat sketch and explain.

Explain the flow behavior in incompressible inviscid flow.

Discuss briefly about flux vectors.

Differentiable between Finite volume and finite difference approach.

Enlist the constraints to be satisfied on the choice of discretized control volumes for a consistent finite volume method?

Describe the various CFD techniques available for solving the finite differential equations for a flow field.

Derive continuity equation in non-conservation form using infinitesimal small fluid element moving in space.

Develop the governing equations required for computational aerodynamics in both conservation and non-conservation forms.

Explain how Computational Fluid Dynamics is vital in Aerospace field with suitable example.

Classify the Partial Differential Equation if there are two real characteristic curves passing through a point ‘P’ in a plane. Explain with neat sketches.

Summarize the advantages and disadvantages of PNS model for high speed flows.

Demonstrate the CFD aspects of the elliptic equations in aerodynamic problems and physical problems.

Show the mathematical and physical behavior of flows governed by parabolic equations with an example of unsteady thermal conduction in two dimensions.

Discuss the concepts of finite differences approximation for first order and second order derivatives.

What is the difference between structured grid and unstructured grid?

What is stability of Solution and write its importance in CFD?

Consider viscous flow over a flat plate where velocity varies rapidly near the surface. Transform the grid and find the Governing equations after transformation.

Illustrate the numerical steps involved in the pressure corrections algorithm SIMPLER.

Enumerate the first step in the alternating direction implicit (ADI) technique by sweeping in the x direction to obtain T at time t+∆t/2.

Explain the technique of pressure correction method with the need of staggered grid and its philosophy.

Describe the Crank-Nicolson implicit scheme method used for solving the parabolic Partial differential equations.

Determine the general formulation of a numerical scheme based on finite volume method.

Discuss the cell-centered and cell-vertex approaches to finite volume discretization using sketches.

Derive an expression of computational module for ‘x’ momentum equation for an incompressible viscous flow for the pressure correction formula.

Compare the non-uniform finite volume mesh and orthogonal non-uniform finite volume mesh with the suitable diagram.