Journal ArticleDOI
A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
Jintai Chung,Gregory M. Hulbert +1 more
TLDR
In this paper, a new family of time integration algorithms is presented for solving structural dynamics problems, denoted as the generalized-α method, which possesses numerical dissipation that can be controlled by the user.Abstract:
A new family of time integration algorithms is presented for solving structural dynamics problems. The new method, denoted as the generalized-α method, possesses numerical dissipation that can be controlled by the user. In particular, it is shown that the generalized-α method achieves high-frequency dissipation while minimizing unwanted low-frequency dissipation. Comparisons are given of the generalized-α method with other numerically dissipative time integration methods; these results highlight the improved performance of the new algorithm. The new algorithm can be easily implemented into programs that already include the Newmark and Hilber-Hughes-Taylor-α time integration methods.read more
Citations
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A phase-field description of dynamic brittle fracture
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Isogeometric Analysis of Structural Vibrations
TL;DR: In this paper, the concept of k-refinement is explored and shown to produce more accurate and robust results than corresponding finite elements, including rods, thin beams, membranes, and thin plates.
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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
TL;DR: 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.
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
A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method
TL;DR: In this article, a generalized-α method was developed and analyzed for linear, first-order systems and extended to the filtered Navier-Stokes equations within the context of a stabilized finite element method.