GMRES算法求解烟雾仿真N-S方程 |
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引用本文: | 李修昌,段锦,祝勇,肖博. GMRES算法求解烟雾仿真N-S方程[J]. 计算机科学, 2016, 43(Z11): 190-192 |
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作者姓名: | 李修昌 段锦 祝勇 肖博 |
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作者单位: | 长春理工大学电子信息工程学院 长春130022;长春理工大学空间光电技术研究所 长春130022,长春理工大学电子信息工程学院 长春130022;长春理工大学空间光电技术研究所 长春130022,长春理工大学计算机科学技术学院 长春130022,长春理工大学电子信息工程学院 长春130022 |
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摘 要: | 烟雾在大规模战场仿真和复杂环境仿真中扮演着重要角色,因此研究烟雾仿真具有重大意义。提出用广义极小残差算法(GMRES)来求解烟雾仿真中的N-S方程。首先给出GMRES算法的计算原理;其次用GMRES算法对烟雾仿真N-S方程进行求解,并对求解结果进行收敛性分析,分析结果表明GMRES算法可以对烟雾仿真N-S方程进行求解,结果收敛;最后运用GMRES算法通过计算机技术对烟雾进行可视化仿真,仿真结果表明,采用GMRES求解算法的烟雾仿真效果比较真实,基本符合现实中的烟雾。
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关 键 词: | GMRES算法 N-S方程 收敛性分析 烟雾仿真 |
GMRES Algorithm to Solve Navier-Stokes Equation of Smoke Simulation |
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Affiliation: | School of Electronic and Information Engineering,Changchun University of Science and Technology,Changchun 130022,China;Institute of Space Optoelectronics Technology,Changchun University of Science and Technology,Changchun,130022,China,School of Electronic and Information Engineering,Changchun University of Science and Technology,Changchun 130022,China;Institute of Space Optoelectronics Technology,Changchun University of Science and Technology,Changchun,130022,China,School of Computer Science and Technology,Changchun University of Science and Technology,Changchun 130022,China |
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Abstract: | Smoke plays an important role in large-scale battlefield simulation and complex environment simulation,so the smoke simulation is of great significance.A generalized minimal residual algorithm (GMRES) to solve smoke simulation of N-S equation was presented .The calculation principle of GMRES algorithm is given first.Secondly,GMRES algorithm for smoke simulation are applied to solve the navier-stokes equation and the solving result convergence analysis,and the analysis results show that when GMRES algorithm are applied to solve the smoke simulation navier-stokes equations the results are convergent.Finally GMRES algorithm of smoke visualization simulation through computer technology is used,and the simulation results show that smoke simulation effect of the algorithm is real,basic in line with the reality of smoke. |
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Keywords: | GMRES algorithm Navier-Stokes equation Convergence analysis Smoke simulation |
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