Shock capturing schemes with local mesh adaptation for high speed compressible flows on three dimensional unstructured grids
Shock capturing schemes with local mesh adaptation for high speed compressible flows on three dimensional unstructured grids
复制标题
具有局部网格自适应的冲击捕获方案，用于三维非结构化网格上的高速可压缩流
DOI：
10.1016/j.compfluid.2012.09.011
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发表时间：
2012
影响因子：
2.8
通讯作者：
J. K. Tan
中科院分区：
文献类型：
--
作者：
V. Nguyen;Hoang;M. Price;J. K. Tan
本文致力于在非结构网格上用二阶有限体积法来捕捉高速可压缩Navier-Stokes流（包括爆炸和爆炸）中的各种应用中的非常强的激波。采用HLLC黎曼解算器求解局部黎曼态的二阶近似，从而获得二阶精度。为了稳定的解决方案，由于高阶近似的解决方案中存在的不连续性，在这项工作中提出了几种策略。首先在非结构化网格上探索斜率限制器，以保持局部极值减小（LED）或总变差减小（TVD）准则下的解重构的单调性。为了消除强激波情况下的激波不稳定性，增加了混合HLLC/HLLE格式。为了提高分辨率的冲击，局部网格自适应计划被用来提高网格分辨率在高梯度的地区。该方案仅局部再生网格，并且被证明对于捕获非定常冲击传播应用是鲁棒且有效的。比较了不同方法在不同应用中的精度和性能，提出了一种在非结构网格上捕捉激波的更鲁棒和更有效的方法。
This paper contributes towards a more complete approach to capture very strong shocks in various applications of high speed compressible Navier–Stokes flows including blasts and explosions using second order finite volume method on unstructured grids. The HLLC Riemann solver is employed to solve for fluxes at cell interfaces with second order approximation of local Riemann states, thus obtaining second order accuracy. In order to stabilize solutions due to high order approximation of solutions in the presence of discontinuities, several strategies are presented in this work. Slope limiters are first explored on unstructured grid to maintain monotonicity of the solution reconstruction following local extremum diminishing (LED) or total variation diminishing (TVD) criteria. The hybrid HLLC/HLLE scheme is appended to eliminate shock instabilities in very strong shock cases. To improve resolution of shocks, a local mesh adaptation scheme is used to increase mesh resolution in areas of high gradients. The scheme only regenerates mesh locally and is proven to be robust and efficient for capturing of unsteady shock propagation applications. Comparisons on the accuracy and performance of different methods on various applications are drawn to suggest a more robust and efficient method for capturing shocks on unstructured grids.