Development and application of the method of splitting by physical factors for the study of the incompressible fluid flows

Gushchin V.A.
 pdf (5351K)

The development of the Splitting Method for Incompressible Fluid flows (SMIF) during last 50 years is described. The hybrid explicit finite difference scheme of method SMIF is based on Modified Central Difference Scheme (MCDS) and Modified Upwind Difference Scheme (MUDS) with special switch condition depending on the velocity sign and the signs of the first and second differences of transferred functions. Application of this method for solving of some tasks (the spatial flow around a sphere and a circular cylinder for homogeneous and stratified fluids in a wide range of dimensionless parameters of the problem, including the transitional regimes (2D–3D transition, laminar-turbulent transition in the boundary layer); a plane problem of fluid flows with a free surface; a dynamics of vortex pair in a water; a collapse of spots in stratified fluid; the air-, heat-, and mass transfer in «clean rooms») is demonstrated.

Keywords: splitting method, hybrid explicit finite difference scheme, incompressible fluid flows
Citation in English: Gushchin V.A. Development and application of the method of splitting by physical factors for the study of the incompressible fluid flows // Computer Research and Modeling, 2022, vol. 14, no. 4, pp. 715-739
Citation in English: Gushchin V.A. Development and application of the method of splitting by physical factors for the study of the incompressible fluid flows // Computer Research and Modeling, 2022, vol. 14, no. 4, pp. 715-739
DOI: 10.20537/2076-7633-2022-14-4-715-739
URL: http://crm-en.ics.org.ru/journal/article/3220/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2024 Institute of Computer Science