Journal ArticleDOI
Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
Yuri Bazilevs,Victor M. Calo,J. A. Cottrell,Thomas J. R. Hughes,Alessandro Reali,Guglielmo Scovazzi +5 more
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TLDR
In this paper, an LES-type variational multiscale theory of turbulence is presented, which derives completely from the incompressible Navier-Stokes equations and does not employ any ad hoc devices such as eddy viscosities.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2007-12-01. It has received 967 citations till now. The article focuses on the topics: K-omega turbulence model & K-epsilon turbulence model.read more
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Isogeometric analysis using T-splines
Yuri Bazilevs,Victor M. Calo,J. A. Cottrell,John A. Evans,Thomas J. R. Hughes,S. Lipton,Michael A. Scott,Thomas W. Sederberg +7 more
TL;DR: T-splines, a generalization of NURBS enabling local refinement, have been explored as a basis for isogeometric analysis in this paper, and they have shown good results on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases.
Journal ArticleDOI
Isogeometric fluid-structure interaction: theory, algorithms, and computations
TL;DR: A fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid is presented.
Journal ArticleDOI
Isogeometric shell analysis: The Reissner-Mindlin shell
TL;DR: In this paper, a Reissner-Mindlin shell formulation based on a degenerated solid is implemented for NURBS-based isogeometric analysis and the performance of the approach is examined on a set of linear elastic and nonlinear elasto-plastic benchmark examples.
Journal ArticleDOI
Isogeometric analysis of the Cahn–Hilliard phase-field model
TL;DR: In this paper, a NURBS-based variational formulation for the Cahn-Hilliard equation was tested on two-dimensional and three-dimensional problems, and steady state solutions in two-dimensions and, for the first time, in threedimensions were presented.
Journal ArticleDOI
Isogeometric finite element data structures based on Bézier extraction of T-splines
Michael A. Scott,Michael J. Borden,Michael J. Borden,Clemens V. Verhoosel,Thomas W. Sederberg,Thomas J. R. Hughes +5 more
TL;DR: It is shown that the extraction operator and Bézier elements provide an element structure for isogeometric analysis that can be easily incorporated into existing finite element codes, without any changes to element form and assembly algorithms, and standard data processing arrays.
References
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GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
Youcef Saad,Martin H. Schultz +1 more
TL;DR: An iterative method for solving linear systems, which has the property of minimizing at every step the norm of the residual vector over a Krylov subspace.
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Linear and Nonlinear Waves
TL;DR: In this paper, a general overview of the nonlinear theory of water wave dynamics is presented, including the Wave Equation, the Wave Hierarchies, and the Variational Method of Wave Dispersion.
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Compact finite difference schemes with spectral-like resolution
TL;DR: In this article, the authors present finite-difference schemes for the evaluation of first-order, second-order and higher-order derivatives yield improved representation of a range of scales and may be used on nonuniform meshes.
Journal ArticleDOI
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
A. N. Brooks,Thomas J. R. Hughes +1 more
TL;DR: In this article, a new finite element formulation for convection dominated flows is developed, based on the streamline upwind concept, which provides an accurate multidimensional generalization of optimal one-dimensional upwind schemes.
Journal ArticleDOI
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
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