Thermal concentrators and cloaks with ellipsoidal shapes are designed by utilizing the transformation thermotics method and finite element simulations. The thermal conductivities for the concentrator and cloak are directly derive in Cartesian coordinates. The simulation results show that the ellipsoidal thermal concentrator can focus heat flux into a central region and that the ellipsoidal thermal cloak can guide heat flux around the cloaked region smoothly without disturbing the external temperature distribution and heat flux. The present method can be extended to design arbitrarily shaped thermal metadevices with novel properties.

中文翻译：

---

椭圆形热浓缩器和带有转化介质的斗篷

利用变换热学方法和有限元模拟设计了椭圆形的热浓缩器和隐身斗篷。浓缩器和斗篷的热导率直接在笛卡尔坐标中导出。仿真结果表明，椭圆形热集中器可以将热通量集中到中心区域，椭圆形热斗篷可以在不影响外部温度分布和热通量的情况下平稳地将热通量引导到隐蔽区域周围。本方法可以扩展到设计具有新颖特性的任意形状的热元设备。