A Hybrid Overset Grid Approach Based On Adaptive Cartesian Grid

2017 ◽  
Author(s):  
Song Liu
Keyword(s):  
Cartesian Grid ◽  
Overset Grid ◽  
Grid Approach ◽  
Adaptive Cartesian Grid

scholarly journals Positivity-Preserving Runge-Kutta Discontinuous Galerkin Method on Adaptive Cartesian Grid for Strong Moving Shock

2016 ◽  
Vol 9 (1) ◽  
pp. 87-110 ◽  
Author(s):  
Jianming Liu ◽  
Jianxian Qiu ◽  
Mikhail Goman ◽  
Xinkai Li ◽  
Meilin Liu
Keyword(s):  
Discontinuous Galerkin ◽  
Compressible Flows ◽  
Strong Shock ◽  
Interpolation Formula ◽  
Cartesian Grid ◽  
Immersed Boundary ◽  
Positivity Preserving ◽  
Element Space ◽  
Runge Kutta ◽  
Adaptive Cartesian Grid

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.

Adaptive Cartesian grid methods for representing geometry in inviscid compressible flow

1993 ◽  
Author(s):  
RICHARD PEMBER ◽  
JOHN BELL ◽  
PHILLIP COLELLA ◽  
WILLIAM CRUTCHFIELD ◽  
MICHAEL WELCOME
Keyword(s):  
Compressible Flow ◽  
Cartesian Grid ◽  
Cartesian Grid Methods ◽  
Inviscid Compressible Flow ◽  
Adaptive Cartesian Grid

3105 Cartesian Grid Approach and Its Applications

2005 ◽  
Vol 2005.18 (0) ◽  
pp. 203-204
Author(s):  
Hidetoshi NISHIDA ◽  
Itaru TANNO
Keyword(s):  
Cartesian Grid ◽  
Grid Approach
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