碎屑流运动模拟及能量过程研究
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摘要
针对碎屑流的运动发展及不同条件下的能量衰减过程问题,采用有限体积数值离散方法对碎屑流运动过程进行模拟,数值模拟通过了解析算例和实验算例的验证.计算表明数值计算具有较高的精度和分辨率,是稳定和有效的.在碎屑流运动模拟的基础上,对碎屑流运动的能量过程进行了计算和分析.结果表明碎屑流的能量过程主要由底面阻力条件控制,而地形曲率的向心作用将通过改变碎屑流的摩擦阻力显著地影响碎屑流的能量耗散过程.
Aiming at the analysis of energy attenuation process during the motion development of debris flow under different conditions,the numerical simulations of the motion process of debris flow are achieved by the method of finite volume discretization.These numerical simulations have been tested and verified by analytic examples and experiment tests.The results show that numerical simulations with high precision and high resolution are stable and effective.Furthermore,the energy process of debris flow is discussed on the basis of the numerical simulations.The results indicate that the energy change process of debris flow is mainly controlled by the basal resistance,and that the centripetal effect of topography curvature has a great influence on the process of energy attenuation by changing the friction resistance.
Aiming at the analysis of energy attenuation process during the motion development of debris flow under different conditions,the numerical simulations of the motion process of debris flow are achieved by the method of finite volume discretization.These numerical simulations have been tested and verified by analytic examples and experiment tests.The results show that numerical simulations with high precision and high resolution are stable and effective.Furthermore,the energy process of debris flow is discussed on the basis of the numerical simulations.The results indicate that the energy change process of debris flow is mainly controlled by the basal resistance,and that the centripetal effect of topography curvature has a great influence on the process of energy attenuation by changing the friction resistance.
引文
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[4]Savage S B,Hutter K.The motion of a finite mass ofgranular material down a rough incline[J].Journal of FluidMechanics,1989,199:177-215.
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[8]Darwish M S,Moukalled F.TVD schemes for unstructuredgrids[J].International Journal of Heat and MassTransfer,2003,46(4):599-611.
[9]Mangeney A,Heinrich P,Roche R.Analytical solution fortesting debris avalanche numerical models[J].Pure andApplied Geophysics,2000,157(6):1081-1096.
[10]Legros F.The mobility of long-runout landslides[J].Engineering Geology,2002,63(3/4):301-331.
[2]崔鹏,韦方强,何思明,等.5.12汶川地震诱发的山地灾害及减灾措施[J].山地学报,2008,26(3):280-282.(Cui Peng,Wei Fang-qiang,He Si-ming,et al.Mountaindisasters induced by the earthquake of May 12 in Wenchuanand the disasters mitigation[J].Journal of MountainScience,2008,26(3):280-282.)
[3]鲁晓兵,张旭辉,崔鹏.碎屑流沿坡面运动的数值模拟[J].岩土力学,2009,30(S2):524-527.(Lu Xiao-bing,Zhang Xu-hui,Cui Peng.Numericalsimulation of clastic grain flow along a slope[J].Rock andSoil Mechanics,2009,30(S2):524-527.)
[4]Savage S B,Hutter K.The motion of a finite mass ofgranular material down a rough incline[J].Journal of FluidMechanics,1989,199:177-215.
[5]Harten A,Lax P D,Vanleer B.On upstream differencingand godunov-type schemes for hyperbolic conservation laws[J].SIAM Review,1983,25(1):35-61.
[6]Osher S.Convergence of generalized MUSCL schemes[J].SIAM Journal of Numerical Analysis,1996,22(5):947-961.
[7]Hubbard M E.Multidimensional slope limiters for MUSCLtype finite volume schemes on unstructured grids[J].Journal of Computational Physics,1999,155(1):54-74.
[8]Darwish M S,Moukalled F.TVD schemes for unstructuredgrids[J].International Journal of Heat and MassTransfer,2003,46(4):599-611.
[9]Mangeney A,Heinrich P,Roche R.Analytical solution fortesting debris avalanche numerical models[J].Pure andApplied Geophysics,2000,157(6):1081-1096.
[10]Legros F.The mobility of long-runout landslides[J].Engineering Geology,2002,63(3/4):301-331.
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