Implementation of Smoothed-Particle Hydrodynamics for non-linear Pennes’ bioheat transfer equation

作者：

Highlights：

• We developed a novel SPH method for the solution of Pennes’ bioheat equation.

• SPH scheme is presented for the combination of Pennes’ model with CV and DPL models.

• Discretization contains a third-order temporal–spatial derivative and source term.

• Non-linear behavior is captured through the temperature-dependent conductivity.

• The boundary conditions are precisely applied to the SPH method.

摘要

•We developed a novel SPH method for the solution of Pennes’ bioheat equation.•SPH scheme is presented for the combination of Pennes’ model with CV and DPL models.•Discretization contains a third-order temporal–spatial derivative and source term.•Non-linear behavior is captured through the temperature-dependent conductivity.•The boundary conditions are precisely applied to the SPH method.

论文关键词：Bioheat transfer,Pennes’ equation,SPH,Dual-phase lag

论文评审过程：Available online 3 March 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.02.036