Abstract
In the present work, the computer algebra system (CAS) is applied for constructing a new version of the method of collocations and least residuals (CLR) for solving the 3D incompressible Navier–Stokes equations. The CAS is employed at all stages from writing, deriving, and verifying the formulas of the method to their translation into arithmetic operators of the Fortran language. The verification of derived formulas of the method has been done on the test problem solution. Comparisons with the published numerical results of solving the benchmark problem of the 3D driven cavity flow show a high accuracy of the developed method at the level of the most accurate known solutions.
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Shapeev, V.P., Vorozhtsov, E.V. (2013). CAS Application to the Construction of the Collocations and Least Residuals Method for the Solution of 3D Navier–Stokes Equations. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2013. Lecture Notes in Computer Science, vol 8136. Springer, Cham. https://doi.org/10.1007/978-3-319-02297-0_31
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DOI: https://doi.org/10.1007/978-3-319-02297-0_31
Publisher Name: Springer, Cham
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