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Computational Fluid Dynamics Lecture 2

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Questions and Answers

What is the type of problem that can be modelled by Elliptic PDE?

Hyperbolic flow

Steady state heat conduction (correct)

Unsteady viscous flow

Unsteady state heat conduction

Which type of problem is described by the equation ∂T/∂t = a⋅∂²T/∂x²?

Parabolic PDE (correct)

Hyperbolic flow

Elliptic PDE

Hyperbolic PDE

What is the main function of the solver in CFD?

To set up the boundary conditions

To create the geometry

To view and analyse the results

To run the simulation (correct)

What is the type of problem that can be modelled by Hyperbolic PDE?

Unsteady viscous flow Signup and view all the answers

What is the term for a computational operation that takes one second to complete?

FLOP Signup and view all the answers

What is the combination of CFD and FEA used for?

Fluid Structure Interaction Signup and view all the answers

Study Notes

Overview of Numerical Analysis

Numerical approach is the modern way of solving engineering problems, combining CFD (Computational Fluid Dynamics) and FEA (Finite Element Analysis).
Applications of CFD include Fluid Structure Interaction (FSI) and more.

Elements of CFD Analysis

Pre-processor: involves CAD (Geometry), Meshing, and boundary condition setup.
Solver: runs the simulation.
Post-processor: views and analyzes the results.

Classification of Physical Behaviors and Partial Differential Equations (PDE)

Physical problems related to fluid/solid mechanics, heat transfer, etc. can be modeled by Partial Differential Equations (PDE).
Classification of physical behaviors:
Equilibrium problems (steady, or time-independent): Elliptic PDE.
Marching problems (unsteady state, transient or time-dependent): Parabolic PDE.
Hyperbolic PDE.

Examples of PDEs

Steady state heat conduction (Laplace equation): elliptic PDE.
Unsteady viscous flow/ heat flow: parabolic PDE.
Example of Hyperbolic PDE: wave propagation.

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Description

This lecture covers the overview of numerical analysis in computational fluid dynamics, including the definition of FLOP, numerical approach, and applications of CFD. It also introduces the three main elements of CFD analysis.