کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
513614 866497 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
MFS with time-dependent fundamental solutions for unsteady Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
MFS with time-dependent fundamental solutions for unsteady Stokes equations
چکیده انگلیسی

This paper describes the applications of the method of fundamental solutions (MFS) for 2D and 3D unsteady Stokes equations. The desired solutions are represented by a series of unsteady Stokeslets, which are the time-dependent fundamental solutions of the unsteady Stokes equations. To obtain the unknown intensities of the fundamental solutions, the source points are properly located in the time–space domain and then the initial and boundary conditions at the time–space field points are collocated. In the time-marching process, the prescribed collocation procedure is applied in a time–space box with suitable time increment, thus the solutions are advanced in time. Numerical experiments of unsteady Stokes problems in 2D and 3D peanut-shaped domains with unsteady analytical solutions are carried out and the effects of time increments and source points on the solution accuracy are studied. The time evolution of history of numerical results shows good agreement with the analytical solutions, so it demonstrates that the proposed meshless numerical method with the concept of space–time unification is a promising meshless numerical scheme to solve the unsteady Stokes equations. In the spirit of the method of fundamental solutions, the present meshless method is free from numerical integrations as well as singularities in the spatial variables.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 30, Issue 10, October 2006, Pages 897–908
نویسندگان
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