non-linear terms in conservative or non-conservative form
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yes, the discrete equations can drive to very different results (e.g. different wave propagation), as advice you must use always the conservative form!
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Just as a quick addition to this: There's something called the "skew symmetric form" that avoids aliasing errors and consists of a combination of both formulations. In that sense, it might not always be advisable to use the conservative form alone, but on general, yes, use it rather than the non-con form!
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Thanks!
Can I just ask more specifically why the conservative form is preferred. If you know any good reading material on this specific topic , please let me know. |
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then, many papers in journals are more specific in analyzing the properties of the conservative (divetgence) form in terms of accuracy and stability |
If solutions are discontinuous, then conservative form should be used.
For smooth solutions, the skew symmetric form can be used; it conserves energy and thats one of the reasons it is used. |
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