Results 31 to 40 of about 677 (183)
Isogeometric analysis for turbulent flow [PDF]
Mathematics and Computers in Simulation, 2018 The article is devoted to the simulation of viscous incompressible turbulent fluid flow based on solving the Reynolds averaged Navier-Stokes (RANS) equations with different k-omega models. The isogeometrical approach is used for the discretization based on the Galerkin method.
Bohumír Bastl +4 more
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Planar Parametrization in Isogeometric Analysis [PDF]
, 2014 Before isogeometric analysis can be applied to solving a partial differential equation posed over some physical domain, one needs to construct a valid parametrization of the geometry. The accuracy of the analysis is affected by the quality of the parametrization.
Jens Gravesen +3 more
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Stochastic Dynamic Buckling Analysis of Cylindrical Shell Structures Based on Isogeometric Analysis
MathematicsIn this paper, we extend our previous work on the dynamic buckling analysis of isogeometric shell structures to the stochastic situation where an isogeometric deterministic dynamic buckling analysis method is combined with spectral-based stochastic ...
Qingqing Yu +5 more
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Isogeometric analysis of the lithosphere under topographic loading: Igalith v1.0.0 [PDF]
Geoscientific Model DevelopmentThis paper presents methods from isogeometric finite-element analysis for numerically solving problems in geoscience involving partial differential equations.
R. Rosandi, Y. Rosandi, B. Simeon
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Results in Physics, 2020 An isogeometric numerical procedure based on non-uniform rational B-splines is applied to solve the free vibration of carbon nanotubes reinforced and functionally graded material sector cylindrical shells.
Yantao Zhang +4 more
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Crystals, 2022 This paper presents a novel non-classical Timoshenko–Ehrenfest beam model based on a reformulated strain gradient elasticity theory. The strain gradient effect, couple stress effect, and velocity gradient effect for vibration are included in the new ...
Shuohui Yin +4 more
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Quadrature blending for isogeometric analysis
Procedia Computer Science, 2017 Abstract We use blended quadrature rules to reduce the phase error of isogeometric analysis discretizations. To explain the observed behavior and quantify the approximation errors, we use the generalized Pythagorean eigenvalue error theorem to account for quadrature errors on the resulting weak forms [28].
Victor M. Calo +2 more
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Stable isogeometric analysis of trimmed geometries [PDF]
Computer Methods in Applied Mechanics and Engineering, 2017 We explore extended B-splines as a stable basis for isogeometric analysis with trimmed parameter spaces. The stabilization is accomplished by an appropriate substitution of B-splines that may lead to ill-conditioned system matrices. The construction for non-uniform knot vectors is presented.
Benjamin Marussig +3 more
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Optimally refined isogeometric analysis
Procedia Computer Science, 2017 Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple C-continuity hyperplanes that act as separators during LU factorization [8]. In here, we further explore this venue by introducing
Daniel García 0002 +2 more
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Sum factorization techniques in Isogeometric Analysis [PDF]
Computer Methods in Applied Mechanics and Engineering, 2019 34 pages, 8 ...
Andrea Bressan, Stefan Takacs
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