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Article information
1998 , Volume 3, ¹ 3, p.72-84
Semin L.G., Shapeev V.P.
Collocation and least squares method for Navier-Stokes equations
A grid method of collocation and least squares for solving the boundary problem for a set of Navier - Stokes equations is created. The method is implemented on a regular square grid. Formulas of the method are tested on a range of test problems. Convergence of numerical solution is established in computational experiments. The computation of the flow in a rectangular lid-driven cavity is performed. The results of computations by the present method for various Reynolds numbers are compared with the results of other researchers, as well as with the physical experiment. All results are shown to be in good agreement. Formulas of the method are derived using the REDUCE computer algebra system.
[full text] Classificator Msc2000:- *68W30 Symbolic computation and algebraic computation
- 76D05 Navier-Stokes equations
- 76M10 Finite element methods
Classificator Computer Science:- *I.1 Symbolic and Algebraic Manipulation
- J.2 Physical Sciences and Engineering (Computer Applications)
Keywords: numerical convergence, regular square grid, rectangular lid-driven cavity, REDUCE computer algebra system
Author(s):
Semin LeonidG.
PhD.
Position: Research Scientist
Office: Institute of Theoretical and Applied Mechanics of SB RAS
Address: 630090, Russia, Novosibirsk, Institutskaya str., 4/1
E-mail: l_semin@ngs.ru
Shapeev Vasily Pavlovich
Dr. , Professor
Position: General Scientist
Office: Institute of Theoretical and Applied Mechanics of SB RAS, Novosibirsk State University
Address: 630090, Russia, Novosibirsk, Institutskaya Str., 4/1
Phone Office: (383) 330 27 13
E-mail: vshapeev@ngs.ru
SPIN-code: 7128-5536
Bibliography link:
Semin L.G., Shapeev V.P. Collocation and least squares method for Navier-Stokes equations // Computational technologies. 1998. V. 3. ¹ 3. P. 72-84
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