Spatial and Temporal Discretization Flashcards

1
Q

What are the three fundamentals of CFD?

A
  • Navier Stokes Equations
  • Finite Volume Methods
  • Spatial and Temporal Discretization
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2
Q

What three important Pre-Processing Concepts?

A
  • Boundary Conditions
  • Mesh Generation
  • Turbulence Models
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3
Q

What are two important Post Processing Concepts?

A
  • Visualization
  • Analysis
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4
Q

What is Method of Lines and what are its benifits?

A
  • Separate discretization in space and time
  • Largest flexibility
  • Each term can be treated differently to yield different accuracies
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5
Q

What are the three properties of central differencing?

A
  • The variation between centroids is linear
  • Second rate accurate
  • Unbounded
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6
Q

What is Upwind differenceing?

A
  • Depends on direction of mass flux
  • First order accurate
  • Bounded
  • Diffusive
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7
Q

What is linear upwind differencing?

A
  • We use gradient to improve accuracy of extrapolation
  • Second order accurate
  • Unbounded
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8
Q

What is the function of a flux limiter?

A
  • To resolve all physical problems as precisely as possible
  • To suppress any numerical oscillations
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9
Q

What is total variation diminishing?

A

Is a measure of how a function changes across grid values

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10
Q

What are two level methods for temporal discretization?

A
  • Forward Euler
  • Backward Euler
  • Crank Nickelson
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