Modelling of the advection-diffusion equation with a meshless method without numerical diffusion
نویسندگان
چکیده
A comprehensive study is presented regarding the stability of the forward explicit integration technique with generalized finite difference spatial discretizations, free of numerical diffusion, applied to the advection-diffusion equation. The modified equivalent partial differential equation approach is used to demonstrate that the approximation is free of numerical diffusion. Two-dimensional results are obtained using the von Neumann method of stability analysis. Numerical results are presented showing the accuracy obtained.
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ورودعنوان ژورنال:
- Int. J. Comput. Math.
دوره 89 شماره
صفحات -
تاریخ انتشار 2012