Day06-slides - 1 Atms 502 CS 505 CSE 566 Numerical Fluid...

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Unformatted text preview: 1 Atms 502 CS 505 CSE 566 Numerical Fluid Dynamics Tue., 12 September 2006 9/29/06 Atms 502 - Fall 2006 - Jewett 2 Polar plots Key things to remember : The curves are a function of two things: Courant number Wavenumber (really: k x = ) When you look at these plots : First identify the unit circle Data curves inside/outside the circle show: Damping / growing (unstable) amplitude errors Slow / fast relative phase errors 9/29/06 Atms 502 - Fall 2006 - Jewett 3 Amplitude error One way to display amplitude error | |: =k x = 0 for infinite wavelengths, for 2 x. 2 x Growing Decaying Anderson et al., chapter 4 4 x p e r f e c t a m p l it u d e a m p l if y in g D a m p e d 9/29 4 One way to display phase error R: Phase error =k x = 0 for infinite wavelengths, for 2 x. 2 x T o o f a s t T o o s l o w Accelerating Decelerating Anderson et al., chapter 4 p e r f e c t p h a s e 4 x 2 9/29/06 Atms 502 - Fall 2006 - Jewett 5 Example: phase/amp. errorExample: phase/amp....
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Day06-slides - 1 Atms 502 CS 505 CSE 566 Numerical Fluid...

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