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There are six transportive schemes corresponding to the computational stencils below. 1. Parabolic 2. Hyperbolic 3. Elliptic 4. Asymptotic parabolic 5. Asymptotic hyperbolic 6. Transverse isothermal

There are six transportive schemes, as shown in the table below. Transportive schemes Linear advection schemes 1 x(t)->y(t) 4 x(t)->y(t)+dx 5 x(t)->y(t)+dy 6 x(t)->y(t)+dz 1 x(t)->y(t) 4 x(t)->y

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Question: The problem is solved on a uniform grid, (x,t)->(i,n) Which of the linear advection schemes corresponding to the computational stencils below are transportive?

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1. |i-1,n |i,n |i+1,n |______ |_____|______ |i-1,n+1|i,n+1|i+1,n+1 This stencil corresponds to the upwind scheme, which is transportive.

Answered by text-davinci-003

Feb. 22, 2023, 7:15 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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