Könyv Shock Waves in a 2D Riemann Problem Having Pure Rarefaction Data Xiaomei Ji

Shock Waves in a 2D Riemann Problem Having Pure Rarefaction Data

Szerző: Xiaomei Ji
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: VDM Verlag
Elérhetőség: Kiadói készleten rendelésre
Küldés 17-27 napon belül
17 139 Ft
The initial data of a general Riemann problem is constant along radial directions from an origin and...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2010
oldal
72
EAN
9783639258868
ISBN
363925886X
Enbook ID
06833289
Kiadó
Súly
118
Méretek
152 x 229 x 4

Teljes leírás

The initial data of a general Riemann problem is constant along radial directions from an origin and it is piecewise constant as a function of angle. In this thesis, the special case with initial data of piecewise constant solutions joined by four forward rarefaction waves is considered. A transonic shock is discovered through refined numerical simulations and generalized characteristic analysis, and the mathematical mechanism of shock formation for four rarefactions cases is clarified. To our best knowledge, shock formation in a rarefaction wave-only 2D Riemann problem, had not been previously observed. In this thesis, front tracking method is implemented as a numerical method based on the Riemann solution and Glimm's method; the generalized characteristic analysis method is developed into numerical characteristic analysis method in order to catch the weak transonic shock. This method is totally different from the routine one.

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