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Questions and Answers
What is the type of problem that can be modelled by Elliptic PDE?
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?
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?
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?
What is the type of problem that can be modelled by Hyperbolic PDE?
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What is the term for a computational operation that takes one second to complete?
What is the term for a computational operation that takes one second to complete?
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What is the combination of CFD and FEA used for?
What is the combination of CFD and FEA used for?
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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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