کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
522530 | 867834 | 2007 | 30 صفحه PDF | دانلود رایگان |
Conservation laws in axisymmetric geometries are discretized for the first time according to the node-pair framework of Selmin [Comput. Methods Appl. Mech. Eng. 102 (1993) 107–138]. A relation is found linking the node-pair finite element discretization to the finite volume scheme, opening the way to the use of standard finite volume stabilization techniques and high-resolution schemes in the computation of axisymmetric problems. By construction, the treatment of the axis is naturally built-in inside the basic structural elements of the spatial discretization. Numerical results are presented and compared to the exact solution for scalar advection in a source flow, considering both continuous and discontinuous initial profiles. Numerical simulations of compressible flows include the complex dynamical interaction and propagation of waves in a shock-tube experiment and the steady flow at the exit of under-expanded and sonic nozzles. Numerical results are found to agree fairly well with experimental data, demonstrating the validity of the proposed approach.
Journal: Journal of Computational Physics - Volume 224, Issue 2, 10 June 2007, Pages 489–518