Results 41 to 50 of about 52,764 (220)

Accurately model the Kuramoto--Sivashinsky dynamics with holistic discretisation [PDF]

open access: yes, 2005
We analyse the nonlinear Kuramoto--Sivashinsky equation to develop accurate discretisations modeling its dynamics on coarse grids. The analysis is based upon centre manifold theory so we are assured that the discretisation accurately models the dynamics ...
A. J. Roberts   +3 more
core   +2 more sources

Numerical and experimental study on P‐wave propagation across a rock joint with different orientations

open access: yesDeep Underground Science and Engineering, EarlyView.
Joint orientation significantly affects P‐wave velocity, with the highest velocity at zero‐degree angles, decreasing to 30° as the angle increases. The velocity increases slightly from 30 to 45 degrees but sharply decreases from 45 to 90 degrees. Abstract Determination of the required parameters in different science contexts using the ultrasonic wave ...
Yaghoob Zarei   +4 more
wiley   +1 more source

Coupled Fluid–Structure–Acoustic Analysis of Flow‐Induced Noise Control Using an Elastic Baffle in a Micro Channel

open access: yesEnergy Science &Engineering, EarlyView.
This research explores how fluid flow, structural movement, and sound interact in an elastic baffle system. Using a numerical approach based on the finite element method, the study analyzes how noise and vibrations change with different baffle configurations. The findings reveal that shortening the baffle by half reduces noise transmission by 9%, while
Tohid Adibi   +5 more
wiley   +1 more source

The Extended Galerkin Method for Approximate Solutions of Nonlinear Vibration Equations

open access: yesApplied Sciences, 2022
An extension has been made to the popular Galerkin method by integrating the weighted equation of motion over the time of one period of vibrations to eliminate the harmonics from thee deformation function.
Ji Wang, Rongxing Wu
doaj   +1 more source

A randomized and fully discrete Galerkin finite element method for semilinear stochastic evolution equations

open access: yes, 2018
In this paper the numerical solution of non-autonomous semilinear stochastic evolution equations driven by an additive Wiener noise is investigated. We introduce a novel fully discrete numerical approximation that combines a standard Galerkin finite ...
Kruse, Raphael, Wu, Yue
core   +1 more source

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime   +3 more
wiley   +1 more source

Preconditioning GMRES for discontinuous Galerkin approximations

open access: yesComputer Assisted Methods in Engineering and Science, 2023
The paper presents an implementation and the performance of several preconditioners for the discontinuous Galerkin approximation of diffusion dominated and pure diffusion problems.
Krzysztof Banaś, Mary F. Wheeler
doaj  

A Provably Stable Discontinuous Galerkin Spectral Element Approximation for Moving Hexahedral Meshes

open access: yes, 2015
We design a novel provably stable discontinuous Galerkin spectral element (DGSEM) approximation to solve systems of conservation laws on moving domains.
Bohm, Marvin   +3 more
core   +1 more source

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley   +1 more source

New a posteriori error estimates for hp version of finite element methods of nonlinear parabolic optimal control problems

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we investigate residual-based a posteriori error estimates for the hp version of the finite element approximation of nonlinear parabolic optimal control problems.
Zuliang Lu   +3 more
doaj   +1 more source

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