摘要
建议了一个新的有自由面渗流问题的变分不等式提法,该提法通过将潜在出渗面上的边界条件提为Signorini型条件,从而从理论上消除了出渗点的奇性,解决了出渗点的定位问题。同时在离散求解时,通过引进依赖于网格参数的连续型Heaviside函数,克服了Bathe算法中所固有的网格依赖性,提高了这类方法的数值稳定性。
A new variational inequality formulation is proposed for seepage problems with free surfaces. The formulation enforces a Signorini's type of boundary condition on the potential seepage boundaries. The singularity of the seepage points is hence eliminated theoretically; and the location of the seepage points is also determined. Meanwhile, through replacing the step Heaviside function with a continuous Heaviside function dependent on a mesh parameter during discretization, the mesh dependency inherent in Bathe's algorithm is overcomed and the numerical stability is significantly improved.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2005年第4期505-512,共8页
Rock and Soil Mechanics
基金
湖北省杰出青年基金
湖北省优秀创新团队基金的共同资助
关键词
渗流
自由边值问题
Bathe算法
变分不等式
Boundary conditions
Boundary value problems
Embankments
Finite element method
Functions
Partial differential equations
Seepage
Stability
