Autor: |
Hester, Eric W., Vasil, Geoffrey M. |
Předmět: |
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Zdroj: |
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; 9/13/2023, Vol. 479 Issue 2277, p1-23, 23p |
Abstrakt: |
We provide an elementary derivation of an orthogonal coordinate system for boundary layers around evolving smooth surfaces and curves based on the signed-distance function. We go beyond previous works on the signed-distance function and collate useful vector calculus identities for these coordinates. These results and provided code enable consistent accounting of geometric effects to arbitrary order for boundary layer asymptotics in a wide range of physical systems. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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