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Meshless least square method based on COP reconstruction for viscous flow simulation


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Meshless least square method based on COP reconstruction for viscous flow simulation
Cai XiaoweiTan JunjieZhang MuZhang WanglongRen Dengfeng
School of Energy and Power Engineering,NUST,Nanjing 210094,China
viscous flows cloud of points reconstruction meshless least square method Lagrange interpolation
A method to fit spatial derivatives using the cloud of points(COP)reconstruction is proposed for improving the simulation ability for viscous flows of the meshless least square method.An anisotropy COP is reconstituted in the boundary layer,and a nearly isotropic COP structure is formed to fit the meshless least square method calculation.The Lagrange interpolation is used to calculate the values of the new points,the AUSM+-UP scheme is used to calculate the numerical flux at the COP middle point,the least squares method is used to fit the spatial derivatives,and the third-order strong stability preserving(SSP)Runge-Kutta method is used for time marching.To validate the accuracy and robustness of the meshless least square method based on the COP reconstruction,the NACA0012 airfoil with different free stream conditions are simulated and the calculation results are compared with those of the traditional meshless least square methods.The results indicate that the simulation results of the meshless least square method based on COP reconstruction such as the location of the separation point and vortex center and the coefficient of surface pressure are closer to the reference results.


[1] Batina J.A gridless Euler/Navier-Stokes solution algorithm for complex-aircraft application[R].Rena AIAA,1993:333-341.
[2]Sridar D.An upwind finite difference scheme for meshless solvers[J].Journal of Computational Physics,2003,189(1):1-29.
Jiang Xingxian,Chen Hongquan.Gridless methods for multi-element airfoils and its technology of distrubuting points[J].Journal of Nanjing University of Science and Technology,2005,29(1):22-25.
[4]Munikrishna N,Balakrishnan N.Turbulent flow computations on a hybrid Cartesian point distribution using a meshless solver LSFD-U[J].Computers and Fluids,2011(40):118-138.
Wang Gang,Ye Zhengyin,Jiang Chaoji,et al.Gridless method for Navier-Stokes equations with high Reynolds number[J].Chinese Journal of Applied Mechanics,2007,24(3):348-352.
[6]Cai X W,Tan J J,Ma X J.A 2D meshless solver based on AUSM+ and MUSCL scheme[J].Applied Mechanics and Materials,2012,105/107:2140-2143.
[7]Jawahar P,Kamath H.A high-resolution procedure for Euler and Navier-Stokes computations on unstructured grids[J].Journal of Computational Physics,2000,164(1):165-203.
[8]Cueto-Felgueroso L,Colominas I,Fermin N,et al.Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids[J].Computer Methods in Applied Mechanics and Engineering,2007,196(45/48):4712-4736.
Hu Shixiang,Li Lei,She Chundong,et al.Accuracy analysis of gridless method for 2D Euler equations[J].Chinese Journal of Computational Mechanics,2005,22(2):232-236.


Last Update: 2013-12-31