三角形网格下对流扩散方程的无震荡格式
A Non-Oscillatory Scheme for Convection Diffusion Equations on Triangular Meshes
DOI: 10.12677/IJFD.2018.62004, PDF,    国家自然科学基金支持
作者: 赵娟, 高巍*：内蒙古大学数学科学学院，内蒙古 呼和浩特
关键词: 对流扩散方程；三角形网格；无震荡格式；Convection Diffusion Equation； Triangular Meshes； Non-Oscillatory Scheme
摘要: 当计算区域为不规则几何时，在非结构网格下构造一个无震荡的格式一直是对流扩散方程研究的重要内容。基于三角网格，本文构造一个新的NVSF (Normalized Variable and Space Formulation)格式。典型算例表明，此数值格式不仅可以有效抑制非物理震荡，而且具有良好的精度。
Abstract: Construction of oscillation-free schemes on unstructured meshes plays a key role on numerical solutions to convection dominated problems. A new NVSF (Normalized Variable and Space Formulation) scheme is presented on triangular meshes. The typical test cases show that the present scheme can suppress unphysical oscillations and possess good accuracy.
文章引用：赵娟, 高巍. 三角形网格下对流扩散方程的无震荡格式[J]. 流体动力学, 2018, 6(2): 23-32. https://doi.org/10.12677/IJFD.2018.62004

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