The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials

DOI10.1016/j.apm.2019.02.023zbMath1481.74032OpenAlexW2918122661WikidataQ128330337 ScholiaQ128330337MaRDI QIDQ2310660

Xiaoqiao He, Yan Gu, Qingsong Hua, Chuan-Zeng Zhang

Publication date: 6 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.02.023

zbMATH Keywords

layered materialsanisotropic heat conductionmeshless methodsgeneralized finite difference methodKrylov-deferred correction method

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Thermodynamics in solid mechanics (74A15) Composite and mixture properties (74E30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (29)

An efficient meshless method for bimaterial interface cracks in 2D thin-layered coating structures ⋮ A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials ⋮ New analytic solutions to 2D transient heat conduction problems with/without heat sources in the symplectic space ⋮ Inverse heat conduction problem in two-dimensional anisotropic medium ⋮ The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars ⋮ A meshfree method with dynamic node reconfiguration for analysis of thermo-elastic problems with moving concentrated heat sources ⋮ A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials ⋮ Modified space‐time radial basis function collocation method for long‐time simulation of transient heat conduction in<scp>3D</scp>anisotropic composite materials ⋮ A numerical technique based on B‐spline for a class of time‐fractional diffusion equation ⋮ A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials ⋮ Precision controllable Gaver-Wynn-Rho algorithm in Laplace transform triple reciprocity boundary element method for three dimensional transient heat conduction problems ⋮ Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions ⋮ Computing enhancement of the nonlinear \(\mathrm{SP}_{\mathrm{N}}\) approximations of radiative heat transfer in participating material ⋮ Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method ⋮ On the augmented moving least squares approximation and the localized method of fundamental solutions for anisotropic heat conduction problems ⋮ Short communication: the generalized finite difference method for electroelastic analysis of 2D piezoelectric structures ⋮ Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations ⋮ Convergence and numerical simulations of prey-predator interactions via a meshless method ⋮ Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations ⋮ Homogenization function method for time-fractional inverse heat conduction problem in 3D functionally graded materials ⋮ A localized extrinsic collocation method for Turing pattern formations on surfaces ⋮ Unnamed Item ⋮ A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives ⋮ Meshless methods for solving Dirichlet boundary optimal control problems governed by elliptic PDEs ⋮ A homogenization function method for inverse heat source problems in 3D functionally graded materials ⋮ On the use of complex stretching coordinates in generalized finite difference method with applications in inhomogeneous visco-elasto dynamics ⋮ An improved implementation of triple reciprocity boundary element method for three-dimensional steady state heat conduction problems ⋮ Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials ⋮ Simulation of two-dimensional steady-state heat conduction problems by a fast singular boundary method

Cites Work

• A method of fundamental solutions for transient heat conduction in layered materials
• Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions
• Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method
• Interface integral BEM for solving multi-medium elasticity problems
• A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids
• Arbitrary order Krylov deferred correction methods for differential algebraic equations
• Influence graphs and the generalized finite difference method
• Influence of several factors in the generalized finite difference method
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Improvements of generalized finite difference method and comparison with other meshless method
• Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials
• Interfacial stress analysis for multi-coating systems using an advanced boundary element method
• Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime
• Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method
• The method of fundamental solutions for nonlinear functionally graded materials
• Generalized finite differences for solving 3D elliptic and parabolic equations
• A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis
• Material point method with enriched shape function for crack problems
• Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
• A numerical framework for integrating deferred correction methods to solve high order collocation formulations of ODEs
• A robust and efficient polyhedron subdivision and intersection algorithm for three-dimensional MMALE remapping
• A note on the dynamic analysis using the generalized finite difference method
• Krylov deferred correction accelerated method of lines transpose for parabolic problems
• Accelerating the convergence of spectral deferred correction methods
• Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions
• Generalized finite difference method for solving two-dimensional inverse Cauchy problems
• The method of fundamental solutions for heat conduction in layered materials
• Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
• A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics

This page was built for publication: The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials