An Integral Equation Approach to the Fully Nonlinear Fluid Flow Problem in an Infinite Channel Over Arbitrary Bottom Topography
The fully nonlinear two-dimensional fluid flow problem involving an infinite channel with arbitrary bottom topography is handled for its complete solution.The nonlinear boundary value problem under consideration involves an unknown boundary comprising the top surface of the fluid and its solution is determined by utilizing a formulation in the form of a Dirichlets problem for the two-dimensional Laplaces equation to be satisfied by the velocity potential of the irrotational flow in question in which the complete boundary is not known beforehand.The whole mathematical problem is cast into a coupled system of singular integral equations of the Cauchy type involving unknown curves of integration and finally the numerical solutions of these integral equations are determined along with the parametric representations of the unknown curve,representing the upper surface of the fluid.
S.PANDA S.C.MARTHA A.CHAKRABARTI
Department of Mathematics, Indian Institute of Technology Ropar,Rupnangar, Punjab 140001, India Department of Mathematics, Indian Institute of Technology Ropar, Rupnangar,Punjab 140001, India Department of Mathematics, Indian Institute of Science, Bangalore 560012,India
国际会议
Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)
上海
英文
90-94
2013-08-01（万方平台首次上网日期，不代表论文的发表时间）