Finite Volume Methods Flashcards
1
Q
What is the SIMPLE Algorithm?
A
- It derives an equation for pressure, based on correction factors from the momentum and continuity equations
- It derives a corrector for the velocity field so that it satisfies the continuity equations
2
Q
What is the purpose of finite volume methods?
A
Subdivision of domain into discrete elements
3
Q
What is the purpose of Spatial Discretization
A
Approximation of Spatial Gradients
4
Q
What is the purpose of Temporal Discretization?
A
Evolution of physical state variables in time
5
Q
How do Finite Volume Methods Work?
A
- Equations Discretized using a generic 3D polyhedral cell
- Flow variables calculated at cell centroid
- Incorporate neighbor cells
- Integrate Navier Stokes Equations across the cell
- Use different approach based on Complexity of Equation
6
Q
What is implicit treatment?
A
Adding linear source term to M matrix
7
Q
What is explicit treatment?
A
Adding linear source term to b vector
8
Q
How do you deal with the convection term in FVM?
A
Use divergence theorem or Gauss and convert volume integral to surface integral
9
Q
What is non-orthogonality in CFD?
A
Shared faces have a face angle