核输运模型的有限体积-有限元格式研究
Study of a finite volume - finite element scheme for a nuclear transport model
AI总结：
针对核废料污染问题，提出一种结合有限体积和非协调有限元方法的数值格式，并证明其稳定性、收敛性和误差估计。
摘要：
我们考虑一个核废料污染问题。该问题考虑了热效应。温度和污染物浓度满足对流-扩散-反应方程。流动中的速度和压力满足达西方程，粘度取决于浓度和温度。这些方程是非线性的且强耦合。结合有限体积和非协调有限元方法，我们引入了一种适用于该问题的格式。我们证明了该格式的稳定性和收敛性，并给出了一些误差估计。
英文摘要：
We consider a problem of nuclear waste contamination. It takes into account the thermal effects. The temperature and the contaminant's concentration fulfill convection-diffusion-reaction equations. The velocity and the pressure in the flow satisfy the Darcy equation, with a viscosity depending on both concentration and temperature. The equations are nonlinear and strongly coupled. Using both finite volume and nonconforming finite element methods, we introduce a scheme adapted to this problem. We prove the stability and convergence of this scheme and give some error estimates.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
