A comparison of different levels of approximation in implicit parallel solution algorithms for the Euler equations on unstructured grids

1996 ◽  
pp. 137-144
Author(s):  
C.W.S. Bruner ◽  
R.W. Walters
Keyword(s):  
Euler Equations ◽  
Unstructured Grids ◽  
Parallel Solution ◽  
Solution Algorithms ◽  
Different Levels

A New Agglomeration Method for Isotropic Unstructured Grids

2012 ◽  
Vol 241-244 ◽  
pp. 2957-2961
Author(s):  
Zong Zhe Li ◽  
Zheng Hua Wang ◽  
Wei Cao ◽  
Lu Yao
Keyword(s):  
Aspect Ratio ◽  
Euler Equations ◽  
Multigrid Method ◽  
Unstructured Grid ◽  
Convergence Rates ◽  
Unstructured Grids ◽  
Common Vertex ◽  
Finite Volume Scheme ◽  
High Quality ◽  
Coarse Grids

A robust aspect ratio based agglomeration algorithm to generate high quality coarse grids for unstructured grid is proposed in this paper. The algorithm focuses on multigrid techniques for the numerical solution of Euler equations, which conform to cell-centered finite volume scheme, combines isotropic vertex-based agglomeration to yield large increases in convergence rates. Aspect ratio is used as fusing weight to capture the degree of cell convexity and give an indication of cell quality, agglomerating isotropic cells sharing a common vertex. Consequently, we conduct agglomeration multigrid method to solve Euler equations on 2D isotropic unstructured grid, and compare the results with MGridGen

Finite Volume Solvers and Moving Least Square Approximations for the Linearized Euler Equations on Unstructured Grids

2008 ◽  
Vol 123 (5) ◽  
pp. 3381-3381 ◽  
Author(s):  
Sofiane Khelladi ◽  
Xesús Nogueira ◽  
Farid Bakir ◽  
Luis Cueto‐Felgueroso ◽  
Ignasi Colominas
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Unstructured Grids ◽  
Least Square ◽  
Linearized Euler Equations ◽  
Moving Least Square

A Variational Framework for Solution Method Developments in Structural Mechanics

1998 ◽  
Vol 65 (1) ◽  
pp. 242-249 ◽  
Author(s):  
K. C. Park ◽  
C. A. Felippa
Keyword(s):  
Rigid Body ◽  
Virtual Work ◽  
Full Rank ◽  
Structural Mechanics ◽  
Direct Construction ◽  
Parallel Solution ◽  
Variational Functional ◽  
Solution Algorithms ◽  
Variational Framework ◽  
Solution Methods

We present a variational framework for the development of partitioned solution algorithms in structural mechanics. This framework is obtained by decomposing the discrete virtual work of an assembled structure into that of partitioned substructures in terms of partitioned substructural deformations, substructural rigid-body displacements and interface forces on substructural partition boundaries. New aspects of the formulation are: the explicit use of substructural rigid-body mode amplitudes as independent variables and direct construction of rank-sufficient interface compatibility conditions. The resulting discrete variational functional is shown to be variation-ally complete, thus yielding a full-rank solution matrix. Four specializations of the present framework are discussed. Two of them have been successfully applied to parallel solution methods and to system identification. The potential of the two untested specializations is briefly discussed.

scholarly journals Parallel Mesh Adaptive Techniques Illustrated with Complex Compressible Flow Simulations

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Pénélope Leyland ◽  
Angelo Casagrande ◽  
Yannick Savoy
Keyword(s):  
Unstructured Grids ◽  
Mesh Adaptation ◽  
Computational Time ◽  
A Posteriori ◽  
Parallel Solution ◽  
Flow Simulations ◽  
Grid Adaption ◽  
Solution Accuracy ◽  
2D And 3D ◽  
Time Grid

The aim of this paper is to discuss efficient adaptive parallel solution techniques on unstructured 2D and 3D meshes. We concentrate on the aspect of parallel a posteriori mesh adaptation. One of the main advantages of unstructured grids is their capability to adapt dynamically by localised refinement and derefinement during the calculation to enhance the solution accuracy and to optimise the computational time. Grid adaption also involves optimisation of the grid quality, which will be described here for both structural and geometrical optimisation.

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