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Multi-dimensional limiting process for three-dimensional flow physics analyses

机译：三维流物理分析的多维限制过程

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The present paper deals with an efficient and accurate limiting strategy for multi-dimensional compressible flows. The multi-dimensional limiting process (MLP) which was successfully proposed in two-dimensional case [K.H. Kim, C. Kim, Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows. Part 11: Multi-dimensional limiting process, J. Comput. Phys. 208 (2) (2005) 570-615] is modified and refined for three-dimensional application. For computational efficiency and easy implementation, the formulation of MLP is newly derived and extended to three-dimensional case without assuming local gradient. Through various test cases and comparisons, it is observed that the newly developed MLP is quite effective in controlling numerical oscillation in multi-dimensional flows including both continuous and discontinuous regions. In addition, compared to conventional TVD approach, MLP combined with improved flux functions does provide remarkable increase in accuracy, convergence and robustness in steady and unsteady three-dimensional compressible flows. (c) 2008 Elsevier Inc. All rights reserved.
机译：本文涉及多维可压缩流程的有效和准确的限制策略。在二维壳体中成功提出的多维限制过程（MLP）[K.H. Kim，C.Kim，用于多维可压缩流的准确，高效，单调数值方法。第11部分：多维限制过程，J.Copp。物理。 208（2）（2005）570-615]修改和精制三维应用。为了计算效率和易于实现，在不假设局部梯度的情况下，新导出并扩展到三维壳体的MLP的制剂。通过各种测试用例和比较，观察到新开发的MLP在控制包括连续和不连续地区的多维流中的数值振荡方面非常有效。此外，与传统的TVD方法相比，MLP结合改进的通量函数确实可以在稳定和不稳定的三维可压缩流中的精度，收敛和鲁棒性方面提供显着提高。 （c）2008年elestvier Inc.保留所有权利。

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