Advanced FEM for free surface flow with application to landslides

Advanced FEM for free surface flow with application to landslides
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先进的自由表面流有限元法适用于山体滑坡

DOI:
10.1002/pamm.201610227
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发表时间:
2016
期刊:
PAMM
影响因子:
--
通讯作者:
D. Dinkler
D. Dinkler
中科院分区:
--
文献类型:
--
作者:
M. Schauer;S. Reinstädler;D. Dinkler

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提出了一种研究滑坡运动及其与柔性结构相互作用的先进时空有限元方法。液化土的力学性质由粘塑性非牛顿流体的Navier-Stokes方程描述。同样地,考虑到大的旋转,结构的运动学由速度描述。这导致了一个整体的流体结构相互作用的方法,考虑作为一个整体的多场问题。离散化的模型方程被组装成一组代数方程,并通过应用Newton-Raphson格式求解。滑坡的自由面运动采用水平集方法描述。为了减少计算工作量的碎片有限元法,其中只有积极的有限元进行评估。应用基于PDE的速度场外推以确保距离函数的准确传输,该距离函数定义了自由表面的空间和时间轮廓。(© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA,魏因海姆)
An advanced space‐time finite element method is presented to investigate movements of landslides and their interaction with flexible structures. The mechanics of liquefied soil is described by Navier‐Stokes‐equations for visco‐plastic non‐newtonian fluid. Likewise the fluid the kinematics of the structure is described by velocities, taking large rotations into account. This leads to a monolithic fluid‐structure interaction approach considering the multi‐field problem as a whole. The discretized model equations are assembled in a single set of algebraic equations, which are solved by applying Newton‐Raphson scheme. Free surface motion of landslide is described by the level‐set method. To reduce computational effort the fragmented finite element method is used, where only active finite elements are evaluated. A pde‐based extrapolation of the velocity‐field is applied to ensure an accurate transport of distance function, which defines the profile in space and time of the free surfaces. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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DOI: --
发表时间: 2004
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