- 1 Compare The Schemes Introduced In Section 7 1 For The Linear Convec Tion Equation A Simple Explicit Schemes 7 6 7 1 (60.96 KiB) Viewed 66 times
1. Compare the schemes introduced in section 7.1 for the linear convec- tion equation: a) Simple explicit schemes (7.6-7
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1. Compare the schemes introduced in section 7.1 for the linear convec- tion equation: a) Simple explicit schemes (7.6-7
1. Compare the schemes introduced in section 7.1 for the linear convec- tion equation: a) Simple explicit schemes (7.6-7.8) b) Simple implicit scheme (7.19) c) Leapfrog scheme (7.21) d) Lax-Wendroff scheme (7.24) e) MacCormack scheme (7.26). For every scheme, describe its stability properties (write the stability criterion, where appropriate) and order of approximation. Determine, where data are available, whether the numerical dissipation or numer- ical dispersion dominates the truncation error. Summarize the discus- sion stating, for every scheme, how appropriate is it in your opinion for solution of the linear convection equation. Does the scheme accu- rately reproduce the traveling wave solution shown in Figure 7.1?m What are the main advantages and disadvantages of the scheme?
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