三维四面体有限元模拟自然对流的计算技术
Computational Techniques for Simulating Natural Convection in Three-Dimensional Enclosures with Tetrahedral Finite Elements
AI总结：
本文提出一种基于四面体有限元的三维自然对流模拟新数值方法，通过波动方程处理对流，并在立方体腔中验证了其准确性。
摘要：
本文讨论了使用四面体有限元方法模拟三维域中自然对流的计算技术。这些技术构成了解决此类问题的一种新的数值方法。在该方法中，通过波动方程方法处理对流的方式被扩展到具有四面体的三维非结构化网格上。获得了瑞利数在$10^3$到$10^6$范围内立方体封闭腔内不可压缩牛顿流体自然对流的数值结果，这些结果与文献中通过其他方法获得的结果吻合良好。
英文摘要：
This article discusses computational techniques for simulating natural convection in three-dimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of problems. In this procedure, the treatment of advection by a wave equation approach is extended to three-dimensional unstructured meshes with tetrahedra. Numerical results of natural convection of an incompressible Newtonian fluid in a cubical enclosure at Rayleigh numbers in the range $10^3$ to $10 ^6$ are obtained and they are in good agreement with those in literature obtained by other methods.
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。
