6 Questions
What is the type of problem that can be modelled by Elliptic PDE?
Steady state heat conduction
Which type of problem is described by the equation ∂T/∂t = a⋅∂²T/∂x²?
Parabolic PDE
What is the main function of the solver in CFD?
To run the simulation
What is the type of problem that can be modelled by Hyperbolic PDE?
Unsteady viscous flow
What is the term for a computational operation that takes one second to complete?
FLOP
What is the combination of CFD and FEA used for?
Fluid Structure Interaction
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.
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.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
