Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method
This work presents a numerical simulation of lid-driven cavity flows by solving the incompressible Navier-Stokes equations, with results validated against established benchmarks. The developed code uses a fractional step method combined with second-order Adams-Bashforth time discretization and Crank...
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| Format: | Article |
| Language: | English |
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REA Press
2025-03-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_209545_57dee50bb12c66dc34526d761d6d07ad.pdf |
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| author | Muhammad Abid Tayyaba Akhtar Mohamed M. Awad Muhammad Imran |
| author_facet | Muhammad Abid Tayyaba Akhtar Mohamed M. Awad Muhammad Imran |
| author_sort | Muhammad Abid |
| collection | DOAJ |
| description | This work presents a numerical simulation of lid-driven cavity flows by solving the incompressible Navier-Stokes equations, with results validated against established benchmarks. The developed code uses a fractional step method combined with second-order Adams-Bashforth time discretization and Crank-Nicolson spatial discretization to achieve both accuracy and stability. A finite difference method is applied on a staggered grid to implement key operators such as gradient, divergence, Laplace, and advection, all computed with second-order central differencing. To efficiently solve the pressure Poisson equation, the conjugate gradient algorithm is employed. The code is vectorized and parallelized to enhance computational performance. An intriguing case involving opposite moving walls is also explored, revealing altered flow dynamics. This robust and efficient CFD code enables fast, accurate simulations of various fluid flow cases, providing deeper insights into complex flow phenomena. |
| format | Article |
| id | doaj-art-3d11c28571874066ab8af88a1def5131 |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-3d11c28571874066ab8af88a1def51312025-01-30T11:24:22ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202025-03-014111710.22105/cand.2024.488797.1159209545Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step methodMuhammad Abid0Tayyaba Akhtar1Mohamed M. Awad2Muhammad Imran3Department of Mathematics, North Carolina State University, Raleigh, 27695 NC, United States.Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan.Mechanical Power Engineering Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan.This work presents a numerical simulation of lid-driven cavity flows by solving the incompressible Navier-Stokes equations, with results validated against established benchmarks. The developed code uses a fractional step method combined with second-order Adams-Bashforth time discretization and Crank-Nicolson spatial discretization to achieve both accuracy and stability. A finite difference method is applied on a staggered grid to implement key operators such as gradient, divergence, Laplace, and advection, all computed with second-order central differencing. To efficiently solve the pressure Poisson equation, the conjugate gradient algorithm is employed. The code is vectorized and parallelized to enhance computational performance. An intriguing case involving opposite moving walls is also explored, revealing altered flow dynamics. This robust and efficient CFD code enables fast, accurate simulations of various fluid flow cases, providing deeper insights into complex flow phenomena.https://www.journal-cand.com/article_209545_57dee50bb12c66dc34526d761d6d07ad.pdflid-driven cavity flowfinite difference methodfractional step methodnumerical simulationsparallel computing |
| spellingShingle | Muhammad Abid Tayyaba Akhtar Mohamed M. Awad Muhammad Imran Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method Computational Algorithms and Numerical Dimensions lid-driven cavity flow finite difference method fractional step method numerical simulations parallel computing |
| title | Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method |
| title_full | Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method |
| title_fullStr | Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method |
| title_full_unstemmed | Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method |
| title_short | Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method |
| title_sort | advanced numerical simulations of lid driven cavity flows using an optimized parallelized fractional step method |
| topic | lid-driven cavity flow finite difference method fractional step method numerical simulations parallel computing |
| url | https://www.journal-cand.com/article_209545_57dee50bb12c66dc34526d761d6d07ad.pdf |
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