When Euler meets Lagrange: Particle-Mesh Modeling of Advection Dominated Flows
When Euler meets Lagrange: Particle-Mesh Modeling of Advection Dominated Flows
复制标题
当欧拉遇见拉格朗日：平流主导流的粒子网格建模
DOI：
10.4233/uuid:a400512d-966d-402a-a40a-fedf60acf22c
复制
发表时间：
2019
影响因子：
2.1
通讯作者：
J. Maljaars
中科院分区：
文献类型：
--
作者：
J. Maljaars
本文提出了一个数值框架来模拟对流主导的流动，调和欧拉网格为基础的计划与拉格朗日粒子为基础的离散策略的优点。特别是，在本论文中提出的策略继承了拉格朗日粒子为基础的平流的无扩散属性，同时具有高的精度和局部守恒性能，在国家的最先进的欧拉网格为基础的离散化策略。这些特性使得该方案特别适合于模拟物理扩散较低的流动和传输过程，如湍流，或模拟具有尖锐和复杂形状界面的流动问题，如破碎海浪中的空气-水界面。
This thesis presents a numerical framework for simulating advection-dominated flows which reconciles the advantages of Eulerian mesh-based schemes with those of a Lagrangian particle-based discretization strategy. Particularly, the strategy proposed in this thesis inherits the diffusion-free properties as in Lagrangian particle-based advection, while simultaneously possessing high-order accuracy and local conservation properties as in state-of-the-art Eulerian mesh-based discretization strategies. These properties render the scheme particularly apt for simulating flow- and transport processes in which the physical diffusion is low, such as turbulent flows, or simulating flow problems with sharp and complex-shaped interfaces, such as the air-water interface in breaking ocean waves.