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THE EARLY INFLUENCE OF PETER LAX ON COMPUTATIONAL HYDRODYNAMICS AND AN APPLICATION OF LAX-FRIEDRICHS AND LAX-WENDROFF ON TRIANGULAR GRIDS IN LAGRANGIAN COORDINATES
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作者 Richard Liska Mikhail Shashkov Burton Wendroff 《Acta Mathematica Scientia》 SCIE CSCD 2011年第6期2195-2202,共8页
We give a brief discussion of some of the contributions of Peter Lax to Com- putational Fluid Dynamics. These include the Lax-Friedrichs and Lax-Wendroff numerical schemes. We also mention his collaboration in the 198... We give a brief discussion of some of the contributions of Peter Lax to Com- putational Fluid Dynamics. These include the Lax-Friedrichs and Lax-Wendroff numerical schemes. We also mention his collaboration in the 1983 HLL Riemann solver. We de- velop two-dimensional Lax-Friedrichs and Lax-Wendroff schemes for the Lagrangian form of the Euler equations on triangular grids. We apply a composite scheme that uses a Lax- Friedrichs time step as a dissipative filter after several Lax-Wendroff time steps. Numerical results for Noh's infinite strength shock problem, the Sedov blast wave problem, and the Saltzman piston problem are presented. 展开更多
关键词 Lax-Friedrichs Lax-Wendroff conservation laws Lagrangian coordinates triangular grid
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Deforming analysis of sheet metal based on stereo vision and coordinate grid
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作者 HongqinWei DehongYu +1 位作者 XueyuRuan YouqingWang 《Journal of University of Science and Technology Beijing》 CSCD 2004年第2期178-182,共5页
A new approach based on stereo vision technology is introduced to analyzesheet metal deformation. By measuring the deformed circle grids that are printed on the sheetsurface before forming, the strain distribution of ... A new approach based on stereo vision technology is introduced to analyzesheet metal deformation. By measuring the deformed circle grids that are printed on the sheetsurface before forming, the strain distribution of the workpiece is obtained. The measurement andanalysis results can be used to verify numerical simulation results and guide production. To getgood accuracy, some new techniques are employed: camera calibration based on genetic algorithm,feature abstraction based on self-adaptive technology, image matching based on structure feature andcamera modeling pre-constrains, and parameter calculation based on curve and surface optimization.The experimental values show that the approach proposed is rational and practical, which can providebetter measurement accuracy with less time than the conventional method. 展开更多
关键词 sheet metal forming deforming analysis stereo vision coordinate grid
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Multi-stage power source and grid coordination planning method considering grid uniformity 被引量:1
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作者 Zhiqi Li Xueshan Han +1 位作者 Ming Yang Yiran Ma 《Global Energy Interconnection》 2020年第4期303-312,I0001,共11页
Given the increasing uncertainties in power supply and load,this paper proposes the concept of power source and grid coordination uniformity planning.In this approach,the standard deviation of the transmission line lo... Given the increasing uncertainties in power supply and load,this paper proposes the concept of power source and grid coordination uniformity planning.In this approach,the standard deviation of the transmission line load rate is considered as the uniformity evaluation index for power source and grid planning.A multi-stage and multi-objective optimization model of the power source and grid expansion planning is established to minimize the comprehensive cost of the entire planning cycle.In this study,the improved particle swarm optimization algorithm and genetic algorithm are combined to solve the model,thus improving the efficiency and accuracy of the solution.The analysis of a simple IEEE Garver’s 6-node system shows that the model and solution method are effective and feasible.Moreover,they are suitable for the coordinated planning of the power source and grid under a diversified nature of power supply and load. 展开更多
关键词 Power source and grid coordination Grid uniformity Grid expansion planning Evaluation index of uniformity
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