An implicit scheme

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  • To simulate the incompressible flow in complex three-dimensional geometry efficiently and accurately, a solver based on solution of the Navier-Stokes equations in the generalized curvilinear coordinate system was developed. The system of equations in three-dimension are solved simultaneously by the artificial compressibility method. The convective terms are differenced using a flux difference splitting approach. The viscous terms are differenced using second-order accurate central differences. An implicit line relaxation scheme is employed to solve the numerical system of equations.

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces

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  • For example, a combined advective-diffusion equation, such as ∂u ∂2 u ∂u = −v +D 2 ∂t ∂x ∂x (19.3.21) might profitably use an explicit scheme for the advective term combined with a Crank-Nicholson or other implicit scheme for the diffusion term. The alternating-direction implicit (ADI) method, equation (19.3.16), is an example of operator splitting with a slightly different twist. Let us reinterpret (19.3.19)

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