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超KdV方程的相似解 总被引:5,自引:1,他引:4
本文利用Clarkson和Kruskal提出的直接法对超KdV方程进行对称性约化,给出其相似解。 相似文献
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IntroductionThetwo_phasedriveninporousmediaisanimportantsubjectofwideinterdisciplinaryconcern ,suchaspetroleumindustry ,subterranean ,chemicalprojectetc..It’sverydifficultifweadoptnumericalintegralmethodforthecaseofmultiphaseandmulticomposition ,thecruxof… 相似文献
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The new variational principle of Gauss’s form of nonlinear nonholonomicnonpotential system relative to non-inertial reference frame is established byconstructing generalized inertial potentials.Noether’s theorem and Noether’s inversetheorem of the system above is presented and proved.Finally,one example is given toillustrate the application. 相似文献
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将直接对称性约化方法推广应用于2+1维非线偏微分方程——修改KP方程,得到其所有的约化结果,指出修改KP方程和修改Boussinesq方程的约化结果之间,具有完全类似于KP方程和Boussinesq方程约化结果之间的联系. 相似文献
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以滚盘实际运动为基础,按照产生约束的力学条件,建立符合实际的动力学模型;利用数值模拟检验理论结果,并解决了滚盘倒地过程中所出现的奇异问题;得到与实际非常接近的解. 相似文献
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In this letter,we present a lattice Boltzmann simulation for complex flow in a solar wall system which includes porous media flow and heat transfer,specifically for solar energy utilization through an unglazed transpired solar air collector(UTC).Besides the lattice Boltzmann equation(LBE) for time evolution of particle distribution function for fluid field,we introduce an analogy,LBE for time evolution of distribution function for temperature.Both temperature fields of fluid(air) and solid(porous media) are modeled.We study the effects of fan velocity,solar radiation intensity,porosity,etc.on the thermal performance of the UTC.In general,our simulation results are in good agreement with what in literature.With the current system setting,both fan velocity and solar radiation intensity have significant effect on the thermal performance of the UTC.However,it is shown that the porosity has negligible effect on the heat collector indicating the current system setting might not be realistic.Further examinations of thermal performance in different UTC systems are ongoing.The results are expected to present in near future. 相似文献