An investigation of the accuracy of the control-volume finite-element method based on triangular prismatic elements for simulating diffusion in anisotropic media

作者：Truscott SL; Turner IW^*

来源：Numerical Heat Transfer Part B-Fundamentals, 2004, 46(3): 243-268.

DOI：10.1080/10407790490475300

The accuracy of the control-volume finite-element method for simulating strongly anisotropic diffusion problems on rectangular parallelepiped domains meshed with triangular prismatic elements is investigated. It is shown that a novel Gauss-Green gradient reconstruction technique provides significant improvements in accuracy over the classical finite-element shape function technique. Numerical investigations carried out on relatively coarse meshes highlight that the new Gauss-Green method offers a reduction of 80% in solution error over the shape function method. In fact, a mesh with 27 times more elements would be required if the shape function method was to achieve the same accuracy as the new method, resulting in a substantial increase in computational overheads.

• 出版日期2004-9