On the Convergence Rate of Spectral Approximations for the Equations of Nonhomogeneous Incompressible Fluids

In this paper, we are concerned about the convergence rates of spectral semi-Galerkin methods to solve the equations describing the motion of a nonhomogeneous viscous incompressible fluid. This approach allows the study of density dependent viscosity.

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Bibliographic Details
Published in:Numerical functional analysis and optimization 2020-12, Vol.42 (1), p.91-108
Main Authors: Ortega-Torres, E., Poblete-Cantellano, M., Rojas-Medar, M. A.
Format: Article
Language:English
Subjects:
Convergence
Error estimates
Fluid dynamics
Fluid flow
Fluids with variable density
Galerkin method
Incompressible flow
Incompressible fluids
Mathematical analysis
Navier-Stokes equations
Spectral Galerkin appproximations
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Description
Summary:In this paper, we are concerned about the convergence rates of spectral semi-Galerkin methods to solve the equations describing the motion of a nonhomogeneous viscous incompressible fluid. This approach allows the study of density dependent viscosity.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2020.1869041