We propose in this article a monotone finite volume diffusion scheme on 3D general meshes for the radiation hydrodynamics. Primary unknowns are averaged value over the cells of the mesh. It requires the evaluation of intermediate unknowns located at the vertices of the mesh. These vertex unknowns are computed using an interpolation method. In a second step, the scheme is made monotone by combining the computed fluxes. It allows to recover monotonicity, while making the scheme nonlinear. This scheme is inserted into a radiation hydrodynamics solver and assessed on radiation shock solutions on deformed meshes.

中文翻译：

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3D 通用网格的单调扩散方案：在平衡扩散极限中辐射流体动力学的应用

我们在本文中提出了一种用于辐射流体动力学的 3D 通用网格上的单调有限体积扩散方案。主要未知数是网格单元的平均值。它需要评估位于网格顶点的中间未知数。这些顶点未知数是使用插值方法计算的。在第二步中，通过组合计算出的通量使该方案变得单调。它允许恢复单调性，同时使方案非线性。该方案被插入到辐射流体动力学求解器中，并对变形网格上的辐射冲击解进行评估。