Free convection investigation for a Casson-based Cu−H2O nanofluid in semi parabolic enclosure with corrugated cylinder [PDF]
HeliyonThe optimization of heat transfer in various engineering applications, such as thermal management systems and energy storage devices, remains a crucial challenge. This study aims to investigate the potential of Casson-based Cu-H2O nanofluids in enhancing
Rafel H. Hameed +7 more
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Mathematics, 2021 By introducing the dimension splitting method (DSM) into the improved interpolating moving least-squares (IMLS) method with nonsingular weight function, a dimension splitting–interpolating moving least squares (DS-IMLS) method is first proposed.
Jufeng Wang, Fengxin Sun, Rongjun Cheng
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The improved element-free Galerkin method for elastoplasticity large deformation problems [PDF]
SCIENTIA SINICA Physica, Mechanica & Astronomica, 2018 Based on the improved moving least-squares (IMLS) approximation, the improved element-free Galerkin (IEFG) method for elastoplasticity large deformation problems is presented. Compared with the moving least-squares (MLS) approximation, by orthogonalizing the basis function, the IMLS approximation can overcome the disadvantage of ill-conditional or ...
XiaoJie CAI, MiaoJuan PENG, YuMin CHENG
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Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method [PDF]
Mathematical Problems in Engineering, 2020 In this paper, the improved element-free Galerkin (IEFG) method is used for solving 3D advection-diffusion problems. The improved moving least-squares (IMLS) approximation is used to form the trial function, the penalty method is applied to introduce the essential boundary conditions, the Galerkin weak form and the difference method are used to obtain ...
Heng Cheng, Guodong Zheng
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Results in Physics, 2020 In this study, the interpolating element-free Galerkin (IEFG) method for solving three-dimensional (3D) transient heat conduction problem is presented.
D. Liu, Y.M. Cheng
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A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes [PDF]
, 2016 In this paper, we introduce a discontinuous Finite Element formulation on simplicial unstructured meshes for the study of free surface flows based on the fully nonlinear and weakly dispersive Green-Naghdi equations.
Duran, Arnaud, Marche, Fabien
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Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]
مهندسی عمران شریفThe present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
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A space-time mixed Galerkin marching-on-in-time scheme for the time-domain combined field integral equation [PDF]
, 2013 The time domain combined field integral equation (TD-CFIE), which is constructed from a weighted sum of the time domain electric and magnetic field integral equations (TD-EFIE and TD-MFIE) for analyzing transient scattering from closed perfect ...
Bagci, Hakan +3 more
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Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion [PDF]
, 2018 We present a class of spline finite element methods for time-domain wave propagation which are particularly amenable to explicit time-stepping. The proposed methods utilize a discontinuous Galerkin discretization to enforce continuity of the solution ...
Chan, Jesse, Evans, John A
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High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of $L^2$ and $H$(div) methods [PDF]
, 2019 The accurate numerical simulation of turbulent incompressible flows is a challenging topic in computational fluid dynamics. For discretisation methods to be robust in the under-resolved regime, mass conservation as well as energy stability are key ...
Fehn, Niklas +4 more
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