Results 31 to 40 of about 625,960 (181)

Modeling proppant transport and settling in a 3D propagating fracture

Deep Underground Science and Engineering, EarlyView.
A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert, Aimé Fournier, Wencheng Jin   +2 more
wiley   +1 more source

High‐Order Projection‐Based Upwind Method for Simulation of Transitional Turbulent Flows

International Journal for Numerical Methods in Fluids, EarlyView.
In this study, we evaluated the implicit large‐eddy simulation capabilities of the mass‐conserving mixed stress method for transitional turbulent flows and proposed an efficient solution method for large‐scale applications. The results presented in this work show promising outcomes for incompressible aerodynamic flow problems, which can be further ...
Philip L. Lederer, Xaver Mooslechner, Joachim Schöberl   +2 more
wiley   +1 more source

On Discontinuous Galerkin Methods for Singularly Perturbed and Incompressible Miscible Displacement Problems [PDF]

, 2012
This thesis is concerned with the numerical approximation of problems of fluid flow, in particular the stationary advection diffusion reaction equations and the time dependent, coupled equations of incompressible miscible displacement in a porous medium.
CHAPMAN, JOHN,ROBERT, Chapman, John Robert   +1 more
core  

Exasim: Generating discontinuous Galerkin codes for numerical solutions of partial differential equations on graphics processors

SoftwareX, 2022
This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve parametrized partial differential equations (PDEs).
Jordi Vila-Pérez, R. Loek Van Heyningen, Ngoc-Cuong Nguyen, Jaume Peraire   +3 more
doaj   +1 more source

Multifidelity Thermochemical–Mechanical Modeling of Pultruded Hollow Composite Profiles

Journal of Manufacturing Science and Engineering, EarlyView.
ABSTRACT Pultrusion of hollow composite profiles with fast‐curing polyurethane (PU) resin requires simultaneous control of heat transfer, cure kinetics, viscosity evolution, and pulling resistance, making empirical process optimization costly and uncertain.
Jacob Harris, Luohaoran Wang, Sangharsha Gharat, Louise Batta, Steven Mamolo, Ali Zolali, Alan Taub, Mihaela Banu   +7 more
wiley   +1 more source

Galerkin approximation of linear problems in Banach and Hilbert spaces

, 2022
International audienceIn this paper we study the conforming Galerkin approximation of the problem: find u ∈ U such that a(u, v) = L(v) for all v ∈ V, where U and V are Hilbert or Banach spaces, a is a continuous bilinear or sesquilinear form and L ∈ V' a
Arendt, Wolfgang, Eymard, Robert, Chalendar, Isabelle   +2 more
core   +2 more sources

The Galerkin Approximation to Forward-Backward Stochastic Partial Differential Equations [PDF]

, 2023
In this paper, the authors utilized the Galerkin approximation scheme approach to solve a class of fully coupled forward-backward stochastic partial differential equations in an infinite dimensional functional ...
Li, Shilun, Yin, Hong
core   +3 more sources

Fedorenko finite superelement method as special galerkin approximation

Mathematical Modelling and Analysis, 2002
In this work we introduce variational equation which natural Petrov‐Galerkin approximation leads to Fedorenko Finite Superelement Method (FSEM). FSEM is considered as Petrov‐Galerkin approximation of the certain problem for traces of boundary‐value ...
M. Galanin, E. Savenkov
doaj   +1 more source

Revealing the Resonant Physics of Open Photonic Time Crystals

Laser &Photonics Reviews, EarlyView.
ABSTRACT Photonic time crystals (PTCs) are media whose permittivity is modulated periodically in time, enabling momentum bandgaps and parametric amplification of light. Their realization at the nanoscale can revolutionize the study of light‐matter interactions.
Adrià Canós Valero, Sergei Gladyshev, David Globosits, Stefan Rotter, Egor A. Muljarov, Thomas Weiss   +5 more
wiley   +1 more source

The Extended Galerkin Method for Approximate Solutions of Nonlinear Vibration Equations

Applied 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