On Cartesian grids in some adaptive algorithms of aerodynamics
https://doi.org/10.23947/2587-8999-2017-2-180-184
Abstract
The paper describes several approaches to adaptation of Cartesian grids in fluid and gasdynamics problems. It is demonstrated that the filter based on non-uniform B-splines is more appropriate for this class of problems.
Supporting agencies: The research is done on the grant of the RSF 17-71-30014.
About the Authors
Andrei Leonidovich Afendikov
Keldysh Institute of Applied Mathematics Russian Academy of Sciences
(4 Miusskaya pl., Moscow, Russian Federation)
Russian Federation
Russian Federation
Afendikov Andrei Leonidovich, Deputy Director of Research of Keldysh Institute of Applied Mathematics Russian Academy of Sciences (4 Miusskaya pl., Moscow, Russian Federation), Doctor
of Science in Physics and Maths.
Vyacheslav Sergeyevich Nikitin
Keldysh Institute of Applied Mathematics Russian Academy of
Sciences
(4 Miusskaya pl., Moscow, Russian Federation)
Russian Federation
Russian Federation
Nikitin Vyacheslav Sergeyevich, Keldysh Institute of Applied Mathematics Russian Academy of
Sciences (4 Miusskaya pl., Moscow, Russian Federation)
References
1. Afendikov, A.L. Adaptive wavelet algorithms for solving problems of hydro- and gas dynamics on Cartesian grids. Moscow: KIAM RAS, 2016. 228 p.
2. Chetverushkin, B.N., Churbanova, N.G., Trapeznikova, M.A., Sukhinov, A.A., Malinovskij, A.A. Adaptive cartesian mesh refinement for simulating multiphase flows in porous media. Computational methods in applied mathematics. Vol.8 (2008). No.2, pp.101-115
3. Khokhlov, A.M. Fully threaded tree for adaptive refinement fluid dynamics simulations. arXiv: astro-ph / 9701194v1 25 Jan 1997.
4. Hartmann, D., Meinke, M., Schroder, W. A strictly conservative Cartesian cut-cell method for compressible viscous flows on adaptive grids. Computer Methods in Applied Mechanics and Engineering, 2011. pp. 1038-1052.
5. Afendikov, A.L., Merkulov, K.D., Plenkin, A.V. Dynamic local adaptation of grids based on wavelet analysis in problems of gas dynamics // Preprints of the KIAM RAS. 2014. No. 99. 26 p. http://library.keldysh.ru/preprint.asp?id=2014-99
6. Afendikov, A.L., Merkulov, K.D., Plenkin, A.V. A Comparative Analysis of Approaches to Numerical Simulation of Gasdynamic Flows on Two-Level Adaptive Computational Grids // Preprints of the KIAM RAS, 2015. № 95. 24 p. URL: http://library.keldysh.ru/preprint.asp?id=2015-95
7. Afendikov, A.L., Lutsky, A.E., Menshov, I.S., Merkulov, K.D., Plenkin, A.V., Khankhasaeva, Ya.V. Algorithm of dynamic local adaptation of grids based on wavelet analysis using free boundary method // Preprints of the KIAM RAS. 2015. No. 94. 20 p. http://library.keldysh.ru/preprint.asp?id=2015-94
8. C. de Boor. A Practical Guide to Splines (revised ed.), Springer-Verlag, New York. 2001.
9. Kestenboim, Kh.S., Roslyakov, G.S., Chudov, L.A. Point explosion: calculation methods: tables / AS of the USSR, Institute of Problems of Mechanics. M.: Science, 1974, 255 p.
Review
For citations:
Afendikov A.L., Nikitin V.S. On Cartesian grids in some adaptive algorithms of aerodynamics. Computational Mathematics and Information Technologies. 2017;1(2). https://doi.org/10.23947/2587-8999-2017-2-180-184
Views:
144
Email this article 