An Automated Viscous Unstructured Adaptive Cartesian Grid Generation Method for Complex Geometries

Author(s):  
Z. J. Wang
2008 ◽  
Vol 73 (624) ◽  
pp. 207-214
Author(s):  
Masashi IMANO ◽  
Naoki OHNISHI ◽  
Motoyasu KAMATA ◽  
Yuzo SAKAMOTO

2016 ◽  
Vol 9 (1) ◽  
pp. 87-110 ◽  
Author(s):  
Jianming Liu ◽  
Jianxian Qiu ◽  
Mikhail Goman ◽  
Xinkai Li ◽  
Meilin Liu

AbstractIn order to suppress the failure of preserving positivity of density or pressure, a positivity-preserving limiter technique coupled withh-adaptive Runge-Kutta discontinuous Galerkin (RKDG) method is developed in this paper. Such a method is implemented to simulate flows with the large Mach number, strong shock/obstacle interactions and shock diffractions. The Cartesian grid with ghost cell immersed boundary method for arbitrarily complex geometries is also presented. This approach directly uses the cell solution polynomial of DG finite element space as the interpolation formula. The method is validated by the well documented test examples involving unsteady compressible flows through complex bodies over a large Mach numbers. The numerical results demonstrate the robustness and the versatility of the proposed approach.


AIAA Journal ◽  
2010 ◽  
Vol 48 (11) ◽  
pp. 2639-2647 ◽  
Author(s):  
Hong Luo ◽  
Seth Spiegel ◽  
Rainald Löhner

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