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A wavenumber k corresponds to a resolution of 2π, or p.p.w.

Ask AI: Which numerical resolution/ number of p.p.w. does wavenumber k correspond to if k∗h=π4, where h is the grid spacing?

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Question: Which numerical resolution/ number of p.p.w. does wavenumber k correspond to if k∗h=π4, where h is the grid spacing?

Asked by short_tok

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The relation k*h = π/4 corresponds to a numerical resolution of 8 points per wavelength (p.p.w). This is because the wavenumber k = 2π/λ, where λ is the wavelength. If k*h = π/4, it means that (2π/λ)*h = π/4. Solving for λ/h (which gives us the number of grid points per wavelength), we get λ/h = 8. This therefore corresponds to a numerical resolution of 8 points per wavelength (p.p.w).

Answered by gpt-4

March 19, 2024, 4:27 a.m.

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k = π4/h

Answered by text-davinci-003

Feb. 22, 2023, 7:17 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user short_tok's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Wednesday, February 22, 2023

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