Involution and Difference Schemes for the Navier–Stokes Equations

DOI10.1007/978-3-642-04103-7_10zbMath1260.76008OpenAlexW1644218357MaRDI QIDQ3644092

Yu. A. Blinkov, Vladimir P. Gerdt

Publication date: 10 November 2009

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-04103-7_10

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Navier-Stokes equations for incompressible viscous fluids (76D05)

Related Items (6)

Modeling of Nonlinear Waves in Two Coaxial Physically Nonlinear Shells with a Viscous Incompressible Fluid Between Them, Taking into Account the Inertia of its Motion ⋮ Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations ⋮ Nonlinear Deformation Waves in a Geometrically and Physically Nonlinear Viscoelastic Cylindrical Shell Containing Viscous Incompressible Fluid and Surrounded by an Elastic Medium ⋮ On the consistency analysis of finite difference approximations ⋮ Symbolic-Numerical Optimization and Realization of the Method of Collocations and Least Residuals for Solving the Navier–Stokes Equations ⋮ Gröbner bases and gradings for partial difference ideals

Cites Work

• Involutive bases of polynomial ideals
• Difference algebra
• Gröbner bases and generation of difference schemes for partial differential equations
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• On pressure boundary conditions for the incompressible Navier-Stokes equations
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