Slope limiting for vectors: A novel vector limiting algorithm
Slope limiting for vectors: A novel vector limiting algorithm
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矢量的斜率限制：一种新颖的矢量限制算法
DOI：
10.1002/fld.2367
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发表时间：
2011
影响因子：
1.8
通讯作者：
J. Falcovitz
中科院分区：
文献类型：
--
作者：
G. Luttwak;J. Falcovitz
斜率或通量限制器用于高阶方法，以维持矢量或张量的溶液的单调性。在一个问题中，我们提出了一个新的框架vip单调性标准在许多测试问题中，发现新的限制器可以改善对称性的保存，包括Saltzman测试，2D和3D Sedov -Taylor问题以及2D NOH问题。
Slope or flux limiters are used in high‐order methods to maintain monotonicity of the solution near discontinuities. For vectors or tensors, these limiters are applied separately to each component. Such a procedure is inherently frame‐dependent and can break rotational or planar symmetries present in a problem. Instead, we propose a new frame‐invariant VIP monotonicity criterion for vectors. We use this new concept to formulate a VIP slope‐limiter for the SMG/Q scheme for Lagrangian hydrodynamics. The new limiter is found to improve symmetry preservation in a number of test problems, including the Saltzman test, 2D and 3D Sedov–Taylor problems, and 2D Noh problem. Copyright © 2010 John Wiley & Sons, Ltd.