Modeling heat transfer subject to inhomogeneous Neumann boundary conditions by smoothed particle hydrodynamics and peridynamics

• Published in: International journal of heat and mass transfer Vol. 139; pp. 948 - 962
• Main Authors: Wang, Jianqiang, Hu, Wei, Zhang, Xiaobing, Pan, Wenxiao
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.08.2019; Elsevier BV
• Subjects: Boundary conditions; Computational fluid dynamics; Computer simulation; Conduction heating; Conductive heat transfer; Cracks; Fluid flow; Fluid mechanics; Fluxes; Free convection; Heat transfer; Inhomogeneous Neumann boundary condition; Kernels; Mathematical models; Natural convection; Numerical analysis; Numerical methods; Peridynamics; Robin boundary condition; Smooth particle hydrodynamics; Smoothed particle hydrodynamics; Taylor series; Thermal diffusion; Thermodynamics; Robin boundary condition; Smoothed particle hydrodynamics; Inhomogeneous Neumann boundary condition; Peridynamics; Natural convection; Heat transfer

•A new method is introduced for imposing inhomogeneous Neumann and Robin BCs in smoothed particle hydrodynamics (SPH) and peridynamics for modeling heat transfer problems.•The new method can be employed for solving various transient or steady heat transfer problems subject to linear or nonlinear flu...