Results 61 to 70 of about 73,174 (233)

Comparación del método de líneas características y el método Petrov Galerkin en contracorriente para problemas de advección dominante

Revista Facultad de Ingeniería Universidad de Antioquia, 2010
El presente artículo desarrolla numéricamente el problema de la ecuación diferencial de difusión-advección, empleando el método de Galerkin sobre líneas características y el método de Petrov-Galerkin en contracorriente (SUPG).
Carlos Humberto Galeano, Diego Alexander Garzón, Juan Miguel Mantilla   +2 more
doaj  

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
wiley   +1 more source

An Efficient Method for Transient Temperature Calculation in Oil Natural Transformers Based on the Time‐Space Proper Orthogonal Decomposition

High Voltage, EarlyView.
ABSTRACT A reduced‐order model (ROM) for the temperature field based on time‐space proper orthogonal decomposition (POD) is presented to improve the computational efficiency of transient temperature rise in oil‐immersed power transformers with a complete oil natural convection cooling loop.
Haijuan Lan, Wenhu Tang, Zeyi Zhang, Jiahao Gong, Xiongwen Xu, Goran Strbac   +5 more
wiley   +1 more source

A priori error estimates for a discretized poro-elastic–elastic system solved by a fixed-stress algorithm

Oil & Gas Science and Technology, 2019
We consider a poro-elastic region embedded into an elastic non-porous region. The elastic displacement equations are discretized by a continuous Galerkin scheme, while the flow equations for the pressure in the poro-elastic medium are discretized by ...
Girault Vivette, Wheeler Mary F., Almani Tameem, Dana Saumik   +3 more
doaj   +1 more source

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation

Computers and Mathematics with Applications, 2018
In the paper, a Crank–Nicolson alternating direction implicit (ADI) Galerkin–Legendre spectral scheme is presented for the two-dimensional Riesz space distributed-order advection–diffusion equation.
Hui Zhang, Fawang Liu, Xiaoyun Jiang, Fanhai Zeng, I. Turner   +4 more
semanticscholar   +1 more source

SpECTRE: A task-based discontinuous Galerkin code for relativistic astrophysics [PDF]

Journal of Computational Physics, 2016
We introduce a new relativistic astrophysics code, SpECTRE, that combines a discontinuous Galerkin method with a task-based parallelism model. SpECTRE's goal is to achieve more accurate solutions for challenging relativistic astrophysics problems such as
Lawrence E. Kidder, Scott E. Field, F. Foucart, E. Schnetter, S. Teukolsky, A. Bohn, Nils Deppe, P. Diener, F. Hébert, J. Lippuner, J. Miller, C. Ott, M. Scheel, Trevor Vincent   +13 more
semanticscholar   +1 more source

Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface

Discrete Dynamics in Nature and Society, 2011
Consideration is given to the free drainage of an Oldroyd four-constant liquid from a vertical porous surface. The governing systems of quasilinear partial differential equations are solved by the Fourier-Galerkin spectral method.
F. Talay Akyildiz, Mehmet Emir Koksal, Nurhan Kaplan   +2 more
doaj   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley   +1 more source