Finite volume solution of the two-dimensional Euler equations on a regular triangular mesh

1985 ◽  
Author(s):  
A. JAMESON ◽  
D. MAVRIPLIS
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Triangular Mesh ◽  
Two Dimensional

scholarly journals Simulation of compressible and incompressible flows in the presence of shocks

2019 ◽  
Vol 286 ◽  
pp. 07018
Author(s):  
H. Benakrach ◽  
M. Taha-Janan ◽  
M.Z. Es-Sadek
Keyword(s):  
Equation Of State ◽  
Finite Volume Method ◽  
Euler Equations ◽  
Finite Volume ◽  
Incompressible Flows ◽  
Generalized Equation ◽  
Incompressible Fluids ◽  
Two Dimensional ◽  
First Results ◽  
Volume Method

The purpose of the present work is to use a finite volume method for solving Euler equations in the presence of shocks and discontinuities, with a generalized equation of state. This last choice allows to treat both compressible and incompressible fluids. The first results of the work are presented. They consist in simulating two-dimensional single-specie flows in the presence of shocks. The results obtained are compared with the analytical results considered as benchmarks in the domain.

scholarly journals Adaptive Finite-Volume Solution of the Two-Dimensional Euler Equations on Unstructured Meshes

1994 ◽  
Author(s):  
Stefan Irmisch
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Steady State Solution ◽  
Convergence Acceleration ◽  
Unstructured Meshes ◽  
Standard Test ◽  
Special Treatment ◽  
Two Dimensional ◽  
Complex Flow ◽  
Flow Features

This paper presents a finite-volume method for solving the compressible, two-dimensional Euler equations using unstructured triangular meshes. The integration in time, to a steady-state solution, is performed using an explicit, multistage Runge-Kutta algorithm. A special treatment of the artificial viscosity along the boundaries reduces the production of numerical losses. Convergence acceleration is achieved by employing local time-stepping, implicit residual smoothing and a multigrid technique. The use of unstructured meshes, based on Delaunay triangulation, automatically adapted to the solution, allows arbitrary geometries and complex flow features to be treated easily. The employed refinement criterion does not only detect strong shocks, but also weak flow features. Solutions are presented for several subsonic and transonic standard test cases and cascade flows that illustrate the capability of the algorithm.

scholarly journals Finite volume solution of the two-dimensional euler equations on quadrilateral and triangular meshes.

1989 ◽  
Vol 55 (518) ◽  
pp. 3019-3025
Author(s):  
Atsushi UEHIGASHI ◽  
Nobuyuki SATOFUKA ◽  
Koji MORINISHI ◽  
Hidetoshi NISHIDA
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Two Dimensional ◽  
Triangular Meshes

scholarly journals Upwind Finite Volume Schemes for One and Two Dimensional Euler Equations

2003 ◽  
Author(s):  
Thierry Gallouet ◽  
Jean-Marc Hérard ◽  
Raphaele Herbin ◽  
Nicolas Jullian ◽  
Nicolas Seguin
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Two Dimensional ◽  
Finite Volume Schemes
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