Testing Computational Magnetohydrodynamics Algorithms with a Problem Having an Exact Solution
PDF (Russian)

Keywords

computational magnetohydrodynamics
exact solutions

How to Cite

1.
Galkin V.A., Gorelikov A.V., Bychin I.V., Dubovik A.O., Ryakhovsky A.O. Testing Computational Magnetohydrodynamics Algorithms with a Problem Having an Exact Solution // Russian Journal of Cybernetics. 2020. Vol. 1, № 4. P. 29-37. DOI: 10.51790/2712-9942-2020-1-4-4.

Abstract

The results of testing the magnetohydrodynamic simulation software package developed by the authors are presented. The software package was developed with CUDA Fortran and is intended for GPU computing systems. An exact 3D solution of the system of magnetohydrodynamic equations was obtained and applied to testing the computational algorithms. The test results demonstrate that the numerical solutions are valid.

https://doi.org/10.51790/2712-9942-2020-1-4-4
PDF (Russian)

References

Куликовский А. Г., Любимов Г. А. Магнитная гидродинамика. 3-е изд. М.: Логос; 2011. 324 с.

Ландау Л. Д., Лифшиц Е. М. Теоретическая физика. Электродинамика сплошных сред. М.: ФИЗМАТЛИТ; 2005. 656 с.

Patankar S. Numerical Heat Transfer and Fluid Flow. Washington DC: Hemisphere Publishing; 1980. 197 p.

Versteeg H. K., Malalasekera W. An Introduction to Computational Fluid Dynamics. Harlow: Pearson Education Limited; 2007. 503 p.

Ferziger J. H., Peric M. Computational Methods for Fluid Dynamics. Berlin: Springer; 2002. 423 p.

Issa R. I. Solution on the Implicitly Discretised Fluid Flow Equations by Operator-Splitting. Journal of Computational Physics. 1985;61:40-65.

Issa R. I., Gosman A. D., Watkins A. P. The Computation of Compressible and Incompressible Recirculating Flows by a Non-Iterative Implicit Scheme. Journal of Computational Physics. 1986;62:66-82.

Куликовский А. Г., Погорелов Н. В., Семенов А. Ю. Математические вопросы численного решения гиперболических систем уравнений. М: ФИЗМАТЛИТ; 2001. 608 с.

Бетелин В. Б., Галкин В. А., Гореликов А. В. Алгоритм типа предиктор-корректор для численного решения уравнения индукции в задачах магнитной гидродинамики вязкой несжимаемой жидкости. Доклады Академии наук. 2015;464(5):525-528.

Sanders J., Kandrot E. CUDA by Example: An Introduction to General-Purpose GPU Programming. Boston: Addison-Wesley Professional; 2010. 312 p.

Ruetsch G., Fatica M. CUDA Fortran for Scientists and Engineers. Boston: Morgan Kaufmann; 2013. 339 p.

Downloads

Download data is not yet available.