An Improved Level-Set Re-Initialization Solver
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摘要: 改进了level-set界面捕捉方法中的level-set函数重新初始化方法，通过锁定界面位置来实现level-set函数重新初始化过程，较好地保持了在重新初始化过程中的界面位置的准确性，保障了流体体积的相对稳定．对剪切运动使流体界面变形的算例表明方法对level-set函数重新初始化过程中的体积保持比较有效，而重新初始化过程总的机器用时并没有显著增加．
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关键词:
- level-set方法 /
- 体积守恒 /
- 重新初始化
Abstract: Re-initialization procedure in level-set interface capturing method were investigated.The algorithm accomplishes the re-initialization step through locking the interface positions.Better accuracy was obtained both on the interface positions and the total fluid volume keeping.Though one more step of the interpolations is added in the procedure,there is no significant increase in total machine time spent.-
Key words:
- level set method /
- volume conservation /
- level set re-initialization
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[1] Osher S,Sethian J A.Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations[J].J Comput Phys,1988,79(1):12—37. doi: 10.1016/0021-9991(88)90002-2 [2] Mulder W,Osher S,Sethian J A. Computing interface motion in compressible gas dynamics[J].J Comput Phys,1992,100(1):209—228. doi: 10.1016/0021-9991(92)90229-R [3] Fatemi E,Sussman M.An efficient interface preserving level-set re-distancing algorithm and its application to interfacial incompressible fluid flow[J].SIAM J Sci Statist Comput,1995，158(1)：36—58. [4] Sussman M,Smereka P.Axi-symmetric free boundary problems[J].J Fluid Mech,1997,341(1):269—294. doi: 10.1017/S0022112097005570 [5] Sussman M,Almgren A S,Bell J B,et al.An adaptive level-set approach for incompressible two-phase flows[J].J Comput Phys,1999,148(1): 81—124. doi: 10.1006/jcph.1998.6106 [6] Chang Y C, Hou Y T,Merriman B,et al.A level-set formulation of Eulerian interface capturing methods for incompressible fluid flows[J].J Comput Phys,1996,124(2):449—464. doi: 10.1006/jcph.1996.0072 [7] Chen S, Merriman B,Osher S,et al.A simple level-set method for solving Stefan problem[J].J Comput Phys,1997,135(1):8—29. doi: 10.1006/jcph.1997.5721 [8] Fedkiw R P,Aslam T,Merriman B,et al.A nonoscillatory Eulerian approach to interface in multimaterial flows(the ghost fluid method)[J].J Comput Phys,1999,152(2):457—492. doi: 10.1006/jcph.1999.6236 [9] Jiang G S,Shu C W.Efficient implementation of weighted ENO schemes[J].J Comput Phys,1996,126(1):202—228. doi: 10.1006/jcph.1996.0130 [10] 刘儒勋,王志峰.数值模拟方法和运动界面追踪[M].合肥：中国科学技术大学出版社,2001. -
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