Results 61 to 70 of about 21,729 (184)

Efficient Energy‐Stable Discontinuous Galerkin Scheme for the Non‐Isothermal Cahn–Hilliard–Navier–Stokes Two‐Phase Fluid Flow System

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou, Meiting Wang, Kejia Pan, Yin Yang, Xiaofeng Yang   +4 more
wiley   +1 more source

Explicit local time-stepping methods for time-dependent wave propagation [PDF]

, 2012
Semi-discrete Galerkin formulations of transient wave equations, either with conforming or discontinuous Galerkin finite element discretizations, typically lead to large systems of ordinary differential equations.
Grote, Marcus, Mitkova, Teodora
core   +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

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

A Parallelized 3D Geomechanical Solver for Fluid‐Induced Fault Slip in Poroelastic Media

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2570-2586, 10 April 2026.
ABSTRACT We present a fully implicit formulation of coupled fluid flow and geomechanics for fluid injection/withdrawal in fractured reservoirs in the context of CO2$\textrm {CO}_2$ storage. Utilizing a Galerkin finite‐element approach, both flow and poroelasticity equations are discretized on a shared three‐dimensional mesh.
Emil Rinatovich Gallyamov, Guillaume Anciaux, Nicolas Richart, Jean‐François Molinari, Brice Lecampion   +4 more
wiley   +1 more source

Efficient High Order Semi-implicit Time Discretization and Local Discontinuous Galerkin Methods for Highly Nonlinear PDEs

Journal of Scientific Computing, 2016
In this paper, we develop a high order semi-implicit time discretization method for highly nonlinear PDEs, which consist of the surface diffusion and Willmore flow of graphs, the Cahn–Hilliard equation and the Allen–Cahn/Cahn–Hilliard system.
Ruihan Guo, F. Filbet, Yan Xu
semanticscholar   +1 more source

Large Deformation Pile‐soil Interaction Under Lateral Vehicle Impact Using Hybrid SPH+FEM and EFG+FEM Models

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2648-2669, 10 April 2026.
ABSTRACT This study presents large deformation computational methods to simulate lateral vehicular impacts on steel piles in granular soil. Soil‐mounted longitudinal barrier systems rely on energy dissipation in both the piles and the surrounding soil to safely redirect errant vehicles, so dynamic pile‐soil interaction is important for design ...
Tewodros Y. Yosef, Chen Fang, Seunghee Kim, Ronald K. Faller, Qusai A. Alomari, Mojtaba Atash Bahar, Gnyarienn S. Kumar   +6 more
wiley   +1 more source

Monitoring of water volume in a porous reservoir using seismic data: Validation of a numerical model with a field experiment

Near Surface Geophysics, Volume 24, Issue 2, Page 110-127, April 2026.
Abstract As global groundwater levels continue to decline rapidly, there is a growing need for advanced techniques to monitor and manage aquifers effectively. This study focuses on validating a numerical model using seismic data from a small‐scale experimental setup designed to estimate water volume in a porous reservoir.
Mahnaz Khalili, Bojan Brodic, Peter Göransson, Suvi Heinonen, Jan S. Hesthaven, Antti Pasanen, Marko Vauhkonen, Rahul Yadav, Timo Lähivaara   +8 more
wiley   +1 more source

Fault Friction, Plate Rheology, and Mantle Torques From a Global Dynamic Model of Neotectonics

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 4, April 2026.
Abstract Improvements in software, parallel computing, global data sets, and laboratory flow‐laws help to develop the global Earth5 thin‐shell finite‐element model of Bird et al. (2008, https://doi.org/10.1029/2007jb005460) into a benchmark study. All experiments confirm that modeled faults (other than megathrusts) have low effective friction of 0.085 ±
Peter Bird, Jon Bryan May, Michele M. C. Carafa   +2 more
wiley   +1 more source

Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws

International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.
ABSTRACT Homogenization methods simulate heterogeneous materials like composites effectively, but high computational demands can offset their benefits. This work balances accuracy and efficiency by assessing model and discretization errors of the finite element method (FEM) through an adaptive numerical scheme.
Arnold Tchomgue Simeu, Ismail Caylak, Richard Ostwald   +2 more
wiley   +1 more source