Adaptive Cartesian grid with mesh-less zones for compressible flow calculations

2012 ◽  
Vol 54 ◽  
pp. 10-17 ◽  
Author(s):  
A. Jahangirian ◽  
M.Y. Hashemi
Keyword(s):  
Compressible Flow ◽  
Cartesian Grid ◽  
Mesh Less ◽  
Adaptive Cartesian Grid

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

An Adaptive Cartesian Grid Method for Unsteady Compressible Flow in Irregular Regions

1995 ◽  
Vol 120 (2) ◽  
pp. 278-304 ◽  
Author(s):  
Richard B. Pember ◽  
John B. Bell ◽  
Phillip Colella ◽  
William Y. Curtchfield ◽  
Michael L. Welcome
Keyword(s):  
Compressible Flow ◽  
Grid Method ◽  
Cartesian Grid ◽  
Cartesian Grid Method ◽  
Adaptive Cartesian Grid

scholarly journals Unsteady Compressible Flow Calculations with Least-Square Mesh-less Method

2016 ◽  
Vol 9 (1) ◽  
pp. 233-241
Author(s):  
samad sattarzadeh ◽  
Alireza Jahangirian ◽  
mir yousef hashemi ◽  
◽  
◽  
...  
Keyword(s):  
Compressible Flow ◽  
Least Square ◽  
Mesh Less

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.

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