%0 Journal Article %1 2009-Wang-p296 %A Wang, Hong %A Chen, Hongquan %A Ma, Zhihua %A Pu, Saihu %C 29 Yudao Street, Nanjing, 210016, China %D 2009 %J Journal of Nanjing University of Aeronautics and Astronautics %K Aerodynamics;Airfoils;Fluid_dynamics;Large_scale_systems;Mapping;Runge_Kutta_methods;Unsteady_flow; %N 3 %P 296-301 %T Gridless method for solving moving boundary problems and its dynamic cloud of points %V 41 %X A novel dynamic cloud method based on Delaunay graph mapping strategy is proposed and the dynamic cloud method is used by algebraic mapping principles, thus the points can be accurately redistributed in the flow field without any iteration. In this method, the topology of the gridless clouds is unchanged, so that the cloud regeneration can be avoided. Besides the spatial discretization, a dual time-stepping method is further implemented to solve two-dimensional unsteady Euler equations. An explicit fourth-stage Runge-Kutta scheme is used to advance the flow equations in pseudo time. Finally, the unsteady transonic flows over two different oscillating airfoils are simulated. Calculational results are in agreement with the experimental data.

@article{2009-Wang-p296, abstract = {A novel dynamic cloud method based on Delaunay graph mapping strategy is proposed and the dynamic cloud method is used by algebraic mapping principles, thus the points can be accurately redistributed in the flow field without any iteration. In this method, the topology of the gridless clouds is unchanged, so that the cloud regeneration can be avoided. Besides the spatial discretization, a dual time-stepping method is further implemented to solve two-dimensional unsteady Euler equations. An explicit fourth-stage Runge-Kutta scheme is used to advance the flow equations in pseudo time. Finally, the unsteady transonic flows over two different oscillating airfoils are simulated. Calculational results are in agreement with the experimental data.}, added-at = {2011-04-19T14:10:58.000+0200}, address = {29 Yudao Street, Nanjing, 210016, China}, author = {Wang, Hong and Chen, Hongquan and Ma, Zhihua and Pu, Saihu}, biburl = {https://www.bibsonomy.org/bibtex/2c564a2d042b80798c41b253743b727d2/zhihua}, copyright = {Compilation and indexing terms, Copyright 2009 Elsevier Inc.}, interhash = {2786d46f0407e92c55c28b0fbc09afd5}, intrahash = {c564a2d042b80798c41b253743b727d2}, issn = {10052615}, journal = {Journal of Nanjing University of Aeronautics and Astronautics}, key = {Euler equations}, keywords = {Aerodynamics;Airfoils;Fluid_dynamics;Large_scale_systems;Mapping;Runge_Kutta_methods;Unsteady_flow;}, language = {Chinese}, number = 3, owner = {zhihua}, pages = {296-301}, timestamp = {2011-04-19T14:11:00.000+0200}, title = {{G}ridless method for solving moving boundary problems and its dynamic cloud of points}, volume = 41, year = 2009 }