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
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2
Q

What is the purpose of finite volume methods?

A

Subdivision of domain into discrete elements

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3
Q

What is the purpose of Spatial Discretization

A

Approximation of Spatial Gradients

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4
Q

What is the purpose of Temporal Discretization?

A

Evolution of physical state variables in time

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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
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6
Q

What is implicit treatment?

A

Adding linear source term to M matrix

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7
Q

What is explicit treatment?

A

Adding linear source term to b vector

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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

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9
Q

What is non-orthogonality in CFD?

A

Shared faces have a face angle

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