Journal ArticleDOI
The computation of three-dimensional flows using unstructured grids
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TLDR
An algorithm for the solution of the compressible Euler equations which can be implemented on such general unstructured tetrahedral grids is described, an explicit cell-vertex scheme which follows a general Taylor-Galerkin philosophy.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1991-06-01. It has received 73 citations till now. The article focuses on the topics: Inviscid flow & Euler equations.read more
Citations
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Journal ArticleDOI
Efficient three‐dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints
N. P. Weatherill,O. Hassan +1 more
TL;DR: A method is described which constructs three-dimensional unstructured tetrahedral meshes using the Delaunay triangulation criterion, and the efficiency of the proposed procedure reduces the computer time for the generation of realistic un Structured Tetrahedral grids to the order of minutes on workstations of modest computational capabilities.
Journal ArticleDOI
Finite element analysis of incompressible and compressible fluid flows with free surfaces and structural interactions
TL;DR: The ADINA-F capabilities for fluid flow analysis are described in this paper, where the basic formulations and finite element discretizations used are described, the techniques for the solution of the finite element equations are briefly discussed, and the results of various demonstrative analyses are given.
Journal ArticleDOI
Development of a finite element aeroelastic analysis capability
TL;DR: In this article, the general-purpose finite element (FE) structural analysis program STARS is extended for computational fluid dynamics (CFD) based aeroelastic analysis, which includes structural as well as aero-elastic and aeroservoelastic analyses using linear aerodynamic theories.
Journal ArticleDOI
Unstructured tetrahedral mesh generation for three-dimensional viscous flows
TL;DR: In this paper, a method of generating general tetrahedral meshes suitable for use in viscous flow simulations is proposed, which consists of the initial generation of a number of unstructured layers of highly stretched elements, in the vicinity of solid walls, followed by the discretisation of the remainder of the domain, by a standard advancing front procedure.
Journal ArticleDOI
Solid modeling aspects of three-dimensional fragmentation
Anna Pandolfi,Michael Ortiz +1 more
TL;DR: In this paper, the authors describe the ways in which the topology and geometry of a 3D finite-element model may evolve as a consequence of fracture and fragmentation, and the actions which may be taken in order to update the boundary representation of the solid so as to faithfully reflect that evolution.
References
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A simple error estimator and adaptive procedure for practical engineerng analysis
O. C. Zienkiewicz,J. Z. Zhu +1 more
TL;DR: A new error estimator is presented which is not only reasonably accurate but whose evaluation is computationally so simple that it can be readily implemented in existing finite element codes.
Book
Computational Geometry for Design and Manufacture
I. D. Faux,M. J. Pratt +1 more
TL;DR: In this paper, the mathematical techniques for the representation, analysis and synthesis of shape information by computers are discussed, and splines and related means for defining composite curves and "patched" surfaces are discussed.
Journal ArticleDOI
Adaptive remeshing for compressible flow computations
TL;DR: An adaptive mesh procedure for improving the quality of steady state solutions of the Euler equations in two dimensions is described, implemented in conjunction with a finite element solution algorithm, using linear triangular elements, and an explicit time-stepping scheme.
A Taylor-Galerkin method for convective transport problems
TL;DR: The method is successively extended to deal with variable coefficient problems and multi-dimensional situations and the new Taylor–Galerkin schemes are found to exhibit particularly high phase-accuracy with minimal numerical damping.
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Efficient three‐dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints
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