A Compact Numerical Implementation for Solving Stokes Equations Using Matrix-vector Operations | Zendy

Tao Zhang | Zendy; Amgad Salama | Zendy; Shuyu Sun | Zendy; Hua Zhong | Zendy

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A Compact Numerical Implementation for Solving Stokes Equations Using Matrix-vector Operations

Author(s) -

Tao Zhang,

Amgad Salama,

Shuyu Sun,

Hua Zhong

Publication year - 2015

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2015.05.297

Subject(s) - computer science , python (programming language) , fortran , matlab , laminar flow , grid , scheme (mathematics) , computational science , matrix (chemical analysis) , navier–stokes equations , finite difference , mathematics , parallel computing , programming language , compressibility , mathematical analysis , geometry , mechanics , physics , materials science , composite material

In this work, a numerical scheme is implemented to solve Stokes equations based on cell-centered finite difference over staggered grid. In this scheme, all the difference operations have been vectorized thereby eliminating loops. This is particularly important when using programming languages that require interpretations, e.g., MATLAB and Python. Using this scheme, the execution time becomes significantly smaller compared with non-vectorized operations and also become comparable with those languages that require no repeated interpretations like FORTRAN, C, etc. This technique has also been applied to Navier-Stokes equations under laminar flow conditions

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