An octree-based solution-adaptive Cartesian grid generator and Euler solver for the simulation of three-dimensional inviscid compressible flows

2016 ◽  
Vol 16 (3) ◽  
pp. 131 ◽  
Author(s):  
Emre Kara ◽  
A. �° ◽  
hsan Kutlar ◽  
M. Halûk Aksel
Keyword(s):  
Compressible Flows ◽  
Three Dimensional ◽  
Cartesian Grid ◽  
Euler Solver ◽  
Inviscid Compressible Flows ◽  
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.

scholarly journals A Review of Fluid Forces Induced by a Circular Cylinder Oscillating at Low Amplitude and High Frequency in Cylindrical Confinement

2006 ◽  
Author(s):  
Cedric Leblond ◽  
Jean Franc¸ois Sigrist ◽  
Christian Laine ◽  
Bruno Auvity ◽  
Hassan Peerhossaini
Keyword(s):  
Circular Cylinder ◽  
High Frequency ◽  
Compressible Flows ◽  
Three Dimensional ◽  
Theoretical Methods ◽  
Fluid Forces ◽  
Real Fluid ◽  
Fluid Load ◽  
Inviscid Compressible Flows ◽  
Low Amplitude

This paper deals with fluid forces induced by an oscillating rigid circular cylinder in a fluid initially at rest. The amplitude of the imposed movement is assumed sufficiently small so that no wake is formed. The objective of the present paper is to review different theoretical methods to evaluate fluid forces. A wide variety of conditions is considered, from inviscid, compressible flows in infinite fluid domains, to viscous, incompressible and strongly confined ones. A special care is taken to underline the limits of the simplified models regarding real fluid effects, such as three-dimensional centrifugal instabilities. This review is related to a study whose ultimate aim is to predict dynamic fluid load during a typical shock encountered in the environment of a military ship.

Three-Dimensional Edge-Based SUPG Computation of Inviscid Compressible Flows With YZβ Shock-Capturing

2009 ◽  
Vol 76 (2) ◽  
Author(s):  
Lucia Catabriga ◽  
Denis A. F. de Souza ◽  
Alvaro L. G. A. Coutinho ◽  
Tayfun E. Tezduyar
Keyword(s):  
Data Structures ◽  
Computational Efficiency ◽  
Compressible Flows ◽  
Three Dimensional ◽  
Shock Capturing ◽  
Iterative Computation ◽  
Supg Formulation ◽  
Edge Based ◽  
Inviscid Compressible Flows ◽  
2D And 3D

The streamline-upwind/Petrov–Galerkin (SUPG) formulation of compressible flows based on conservation variables, supplemented with shock-capturing, has been successfully used over a quarter of a century. In this paper, for inviscid compressible flows, the YZβ shock-capturing parameter, which was developed recently and is based on conservation variables only, is compared with an earlier parameter derived based on the entropy variables. Our studies include comparing, in the context of these two versions of the SUPG formulation, computational efficiency of the element- and edge-based data structures in iterative computation of compressible flows. Tests include 1D, 2D, and 3D examples.

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