On the development of iterative methods with boundary condition splitting for solving boundary and initial-boundary value problems for the linearized and nonlinear Navier-Stokes equations

An overview is presented of considerable advances made in a direction initiated by A.A. Dorodnicyn in the mid-1960s, which was found fruitful in the development of fundamentally new efficient methods for fluid dynamics problems. Most of the results described were obtained by the authors.

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Bibliographic Details
Published in:	Computational mathematics and mathematical physics Vol. 51; no. 1; pp. 68 - 87
Main Authors:	Pal’tsev, B. V., Solov’ev, M. B., Chechel’, I. I.
Format:	Journal Article
Language:	English
Published:	Dordrecht SP MAIK Nauka/Interperiodica 2011 Springer Nature B.V
Subjects:	Approximation Boundary conditions Boundary value problems Computational fluid dynamics Computational mathematics Computational Mathematics and Numerical Analysis Dirichlet problem Euclidean space Fluid dynamics Initial value problems Iterative methods Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Navier-Stokes equations Numerical analysis Reynolds number Splitting Studies Viscosity incompressible fluid Stokes and Stokes-type systems iterative methods splitting of boundary conditions spherical Couette flows Dirichlet boundary and initial-boundary problems Navier-Stokes equations numerical implementations
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Summary:	An overview is presented of considerable advances made in a direction initiated by A.A. Dorodnicyn in the mid-1960s, which was found fruitful in the development of fundamentally new efficient methods for fluid dynamics problems. Most of the results described were obtained by the authors.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0965-5425 1555-6662
DOI:	10.1134/S096554251101012X