کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775505 1631742 2017 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations
چکیده انگلیسی
In this paper, we consider a regular grid with equal spatial spacings and construct a new finite difference approximation (difference scheme) for the system of two-dimensional Navier-Stokes equations describing the unsteady motion of an incompressible viscous liquid of constant viscosity. In so doing, we use earlier constructed discretization of the system of three equations: the continuity equation and the proper Navier-Stokes equations. Then, we compute the canonical Gröbner basis form for the obtained discrete system. It gives one more difference equation which is equivalent to the pressure Poisson equation modulo difference ideal generated by the Navier-Stokes equations, and thereby comprises a new finite difference approximation (scheme). We show that the new scheme is strongly consistent. Besides, our computational experiments demonstrate much better numerical behavior of the new scheme in comparison with the other strongly consistent schemes we constructed earlier and with the scheme which is not strongly consistent.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 314, 1 December 2017, Pages 408-421
نویسندگان
, , , ,