A new second order mimetic finite difference scheme to tackle boundary layers-like problems
As part of an effort to create a discrete analog of vector and tensor calculus, that could be used to accurately discretize continuum models of physical and engineering problems, well be presenting a new second order conservative finite difference discretization scheme which attains second order accuracy in the whole computational domain, including the boundaries. Though the scheme could be derived on the grounds of the relatively new numerical discretization methodology known as Mimetic Finite Difference Approach, well derive it in a more intuitive way using Taylor expansions. The robustness of the method will be illustrated by finding numerical solutions of a set of essentially hard to solve one dimensional boundary-layers like problems, based on the steady diffusion equation.
mimetic methods boundary layer numerical simulation finite difference
S.Rojas J.M.Guevara-Jordan
Physics Department, Universidad Sim′on Bol′ivar, Venezuela Mathematics Department, Universidad Central de Venezuela, Venezuela
国际会议
The Fifth International Conference on Fluid Mechanics(第五届国际流体力学会议)
上海
英文
2007-08-15（万方平台首次上网日期，不代表论文的发表时间）