| 1. | This problem originates from excessive diffusion of the transport equation.
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| 2. | This flow is accounted for by the diffusion term in the vorticity transport equation.
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| 3. | In this case the Navier Stokes equations reduce to the vorticity-transport equations.
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| 4. | Here ? is a passive scalar and it obeys the scalar transport equation.
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| 5. | Using this in the vorticity transport equation, Rayleigh's equation is obtained.
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| 6. | It is therefore a transport equation; it can be solved using a characteristics method.
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| 7. | Now the transport equation can be written as
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| 8. | In 1973 Reed and Hill introduced a DG method to solve the hyperbolic neutron transport equation.
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| 9. | In more concrete terms this allows parallel transport to be described explicitly using the transport equation.
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| 10. | The transport equations for the mass fractions of the constituents are solved using this rate of reaction.
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