In the context of turbulent flows, this study presents a new methodology for the high-fidelity simulation of conjugate heat transfer between solid and fluid. The numerical strategy is mainly based on the immersed boundary method to ensure the expected thermal boundary condition at the fluid/solid interface. The approach is dual since the solid domain is the immersed region for the fluid and, conversely, the fluid for the solid. The resulting method is an extension of an already existing immersed boundary method based on the reconstruction of the solution inside the immersed region. The duality of the technique requires to define one temperature field for the fluid and another one for the solid. The interaction between the two temperature fields is ensured, at the fluid/solid interface, through an efficient weak coupling preserving numerical stability and accuracy. Thanks to the reconstruction in its own immersed zone, each temperature field solution is perceived as smooth by the numerical differentiation method, for any fluid-to-solid ratio of thermal conductivities and diffusivities, while representing a desirable sharp interface. This feature is crucial for the high-order finite difference schemes used in this work. The method is validated for the plane channel and pipe flow configurations and a demanding pure conduction case with variable conductivity in a composite wall. Its ability to preserve second-order accuracy in space is checked in the laminar and pure conduction cases by comparison with analytical solutions. In the turbulent case, the assessment is based on comparisons of basic turbulent statistics with reference data obtained by direct numerical simulation. The step-by-step analysis of thermal statistics shows that the present immersed boundary method can ensure accurately imposed temperature, imposed heat flux, and conjugate heat transfer conditions at the fluid/solid interface.

在湍流的背景下，这项研究提出了一种新的方法，用于固体和流体之间共轭传热的高保真模拟。数值策略主要基于浸入边界方法，以确保流体/固体界面处的预期热边界条件。该方法是双重的，因为固体域是流体的浸没区域，相反，固体域是流体。由此产生的方法是对现有浸入边界方法的扩展，该方法基于浸入区域内的解决方案的重建。该技术的二元性需要为流体定义一个温度场，为固体定义另一个温度场。在流体/固体界面处，确保了两个温度场之间的相互作用，通过有效的弱耦合保持数值稳定性和准确性。由于在其自己的浸没区中重建，对于任何流体与固体的热导率和扩散率比，每个温度场解都被数值微分方法视为平滑，同时代表了理想的锐利界面。此功能对于本工作中使用的高阶有限差分方案至关重要。该方法已针对平面通道和管道流动配置以及复合壁中具有可变电导率的苛刻纯传导情况进行了验证。通过与解析解进行比较，在层流和纯传导情况下检查其保持空间二阶精度的能力。在动荡的情况下，评估基于基本湍流统计数据与直接数值模拟获得的参考数据的比较。热统计的逐步分析表明，本浸入边界方法可以确保流体/固体界面处的精确施加温度、施加热通量和共轭传热条件。