Results 61 to 70 of about 28,118,061 (306)
Energy Science &Engineering, EarlyView.ABSTRACT The study of nanofluids has attracted significant attention due to their superior thermophysical properties, making them ideal for thermal transport in engineering and biomedical applications. Motivated by these capabilities, this study develops a novel three‐dimensional mathematical model for electrically conducting Sutterby nanofluids ...
A. M. Obalalu +4 more
wiley +1 more source
A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations
, 2010 A discontinuous Galerkin method for the ideal 5 moment two-fluid plasma system is presented. The method uses a second or third order discontinuous Galerkin spatial discretization and a third order TVD Runge-Kutta time stepping scheme.
Ammar Hakim +8 more
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International Journal for Numerical Methods in Fluids, EarlyView.This article presents the principles of Finite Element‐Volume discretization and conducts an analysis of its properties and convergence orders. The discretization ensures local mass conservation, second‐order convergence for velocity, and first‐order convergence for pressure.
Maria Adela Puscas +3 more
wiley +1 more source
Interior penalty discontinuous Galerkin FEM for the $p(x)$-Laplacian
, 2012 In this paper we construct an "Interior Penalty" Discontinuous Galerkin method to approximate the minimizer of a variational problem related to the $p(x)-$Laplacian.
Ariel L. Lombardi +4 more
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A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form [PDF]
Mathematics of Computation, 2015 This article proposes a new numerical algorithm for second order elliptic equations in non-divergence form. The new method is based on a discrete weak Hessian operator locally constructed by following the weak Galerkin strategy. The numerical solution is
Chunmei Wang, Junping Wang
semanticscholar +1 more source
Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables
International Journal for Numerical Methods in Fluids, EarlyView.Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
wiley +1 more source
Wavelet Galerkin method for fractional elliptic differential equations [PDF]
, 2014 Under the guidance of the general theory developed for classical partial differential equations (PDEs), we investigate the Riesz bases of wavelets in the spaces where fractional PDEs usually work, and their applications in numerically solving fractional ...
Deng, Weihua +2 more
core
Spline Galerkin methods for the Sherman-Lauricella equation on contours with corners
, 2015 Spline Galerkin approximation methods for the Sherman-Lauricella integral equation on simple closed piecewise smooth contours are studied, and necessary and sufficient conditions for their stability are obtained.
Didenko, Victor D. +2 more
core +1 more source
Advances in Mathematical Physics, 2017 We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
doaj +1 more source
A Filter‐Matrix Lattice‐Boltzmann Methodology for Convective Melting and Solidification
International Journal for Numerical Methods in Fluids, EarlyView.We propose a new methodology for simulating melting and solidification that can be used in lattice‐Boltzmann schemes that are based on filter‐matrix collision operators. The methodology includes an iteration‐free source‐based enthalpy method for phase‐change and an immersed boundary technique.
Celeke Bus +2 more
wiley +1 more source