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The Incompressible Limit and the Initial Layer of the Compressible Euler Equation in ℝn+

✍ Scribed by Tatsuo Iguchi

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
329 KB
Volume
20
Category
Article
ISSN
0170-4214

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✦ Synopsis

We consider the incompressible limit of the compressible Euler equation in the half-space 1L > . It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial data v do not satisfy the condition ' • v "0', then the initial layer will appear.

📜 SIMILAR VOLUMES

On the stretching of Maxwell's equations
On the stretching of Maxwell's equations in general orthogonal coordinate systems and the perfectly matched layer
✍ Luc Knockaert; Daniel De Zutter 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 64 KB 👁 1 views

It is shown that the complex coordinate stretching and diagonal anisotropy formulations of the perfectly matched layer are equi¨alent in a general orthogonal coordinate system setting. The results are obtained by taking ad¨antage of the tensorial in¨ariance of the line element.