Results 81 to 90 of about 96,751 (277)

Application of the Finite Element Method to Rotary Wing Aeroelasticity [PDF]

A finite element method for the spatial discretization of the dynamic equations of equilibrium governing rotary-wing aeroelastic problems is presented. Formulation of the finite element equations is based on weighted Galerkin residuals.
Friedmann, P. P., Straub, F. K.
core   +1 more source

Transient Dynamic Analysis of Piezoelectric Solids by the Spectral Integrated Neural Networks With Large Time Steps

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study presents a novel neural network architecture called spectral integrated neural networks (SINNs), which combines physics‐informed neural networks (PINNs) with time‐spectral integration techniques to efficiently solve two‐ and three‐dimensional dynamic piezoelectric problems.
Zijie Song, Haodong Ma, Wenzhen Qu, Yan Gu   +3 more
wiley   +1 more source

A Computational Study of the Weak Galerkin Method for Second-Order Elliptic Equations

, 2011
The weak Galerkin finite element method is a novel numerical method that was first proposed and analyzed by Wang and Ye for general second order elliptic problems on triangular meshes.
C Bahriawati, D Arnold, DN Arnold, F Brezzi, Junping Wang, L Demkowicz, L Demkowicz, L Demkowicz, Lin Mu, P Morin, P Raviart, RB Kellog, Xiu Ye, Yanqiu Wang   +13 more
core   +1 more source

Numerical Simulation of Three‐Dimensional Unsteady Extrudate Swell Through Annular Dies: Effects of Die Core Opening Position and Sag on Parison Formation

Polymer Engineering &Science, EarlyView.
Study on transient parison formation at various strokes during extrusion of Newtonian and viscoelastic fluids. In the presence of an offset between the mandrel and the bushing, Newtonian fluids exhibit a reduction in extrudate diameter, whereas viscoelastic fluids display diameter swelling only at flow rates exceeding a critical threshold.
Kalonji K. Kabanemi, Jean‐Philippe Marcotte, Florin Ilinca   +2 more
wiley   +1 more source

An analytical and numerical approach for the $(1+1)$-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The main focus of this work is to develop and implement an efficient lo-cal discontinuous Galerkin scheme for acquiring the numerical solution of the (1 + 1)-dimensional nonlinear Kolmogorov–Petrovskii–Piskunov equa-tion. The proposed framework employs a
A. Chand, J. Mohapatra
doaj   +1 more source

Moving Least‐Squares Aided Finite Element Method: A Powerful Means to Evaluate Distributive and Dispersive Mixing

Polymer Engineering &Science, EarlyView.
We present the Moving Least‐Squares Aided Finite Element Method (MLS‐FEM) as a robust approach to evaluate flow fields in polymer mixers. Using a fixed background mesh that is independent of rotor shape and motion, MLS‐FEM captures distributive and dispersive mixing without the need for mesh regeneration.
Mehdi Mostafaiyan, Sven Wießner, Gert Heinrich   +2 more
wiley   +1 more source

A vertical‐slice frontogenesis test case for compressible non‐hydrostatic dynamical cores of atmospheric models

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Our article presents a new vertical‐slice test case for benchmarking atmospheric dynamical cores. The test case is based on the Eady frontogenesis problem, producing sharp fronts that provide a challenge for numerical models. This was not previously possible in a 2D vertical‐slice configuration unless the model is incompressible, so our test case ...
Hiroe Yamazaki, Colin J. Cotter
wiley   +1 more source

A regional implementation of a mixed finite‐element, semi‐implicit dynamical core

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A regional version of a new dynamical core with an iterated semi‐implicit time discretisation and mixed finite‐element spatial discretisation is described. This involves modifying the mixed‐system and Helmholtz‐preconditioner equations to use lateral boundary condition (LBC) data specified by a driving model.
Christine Johnson, Ben Shipway, Thomas Melvin, Thomas Bendall, James Kent, Ian Boutle, Alex Brown, Mohamed Zerroukat, Benjamin Buchenau, Nigel Wood   +9 more
wiley   +1 more source

Exploring forms of the moist shallow‐water equations using a new compatible finite‐element discretisation

Quarterly Journal of the Royal Meteorological Society, EarlyView.
We present a compatible finite‐element discretisation of a general formulation of moist shallow‐water equations, with the aim of providing a simple model to advance understanding of physics–dynamics coupling. We detail set‐ups and show three moist shallow‐water test cases in four different model formulations. The results demonstrate differences between
Nell Hartney, Thomas M. Bendall, Jemma Shipton   +2 more
wiley   +1 more source

A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations

Abstract and Applied Analysis, 2014
We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
doaj   +1 more source