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Solution of Discrete Navier–Stokes Problems
2005AbstractThis chapter concerns iterative methods for solution of the discrete Navier–Stokes equations. The emphasis is on preconditioning methods tailored to the structure of the linearized differential equations and the impact of boundary conditions on derivation of methods.
Howard C Elman +2 more
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On exact unsteady navier-stokes solutions
International Journal of Engineering Science, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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My work with the Solace Initiative has produced a possible solution for the navier-stokes problem. I hope this can help.
Shelden, Andrew, Solace Initiative
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Shelden, Andrew, Solace Initiative
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Asymptotic solutions of linearized navier-stokes equations
Mathematical Notes, 1993Based on a set of equations derived in an earlier study, the asymptotic properties of short wave solutions of the linearized Navier-Stokes equations are analyzed. Special emphasis is placed on the existence of perturbations which exhibit exponential growth in the limit of large time.
Dobrokhotov, S. Yu., Shafarevich, A. I.
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Solution of Navier Stokes Equations
2018In the previous chapter, we have dealt with the discretization of a generic scalar transport equation. The solution of fluid flow requires simultaneous solution of the momentum and the continuity equations.
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This work introduces a symbolic and physical framework aimed at resolving the Navier–Stokes Existence and Smoothness Problem. By distinguishing between stable (uniform) and unstable (non-uniform) fluid motions—symbolized as fu and nfu respectively—the theory establishes conditions under which solutions remain smooth over time.
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Classical Solution to the Navier-Stokes System
1995In this paper we consider in Ω ⊂ ℝ n (n = 2, 3) the boundary-value problem for the stationary Navier-Stokes system. The domain Ω is a bounded domain, whose boundary ∂Ω is assumed to be of class C 2 . So far (cf. Galdi, 1994; Ladyzhenskaya, 1969) the boundary-value problem has been considered assuming that the boundary data a.(x) has suitable properties
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Numerical solution of Navier-Stokes systems
Numerical Linear Algebra with Applications, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cihlář, Jan, Angot, Philippe
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Navier-Stokes solutions for an axisymmetric nozzle
17th Joint Propulsion Conference, 1981Numerical solutions of the Navier-Stokes equations are obtained for an axisymmetric nozzle in a supersonic external flowfield (M^ =1.94, My =3.0, Re^ =2.2xl0). Five jet pressure ratio conditions ranging from a highly overexpanded case that exhibits a Mach disk shock formation to a slightly underexpanded case are solved computationally.
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Solution of Unsteady Navier–Stokes equations
2014AbstractThis chapter concerns the numerical solution of time-dependent Navier–Stokes equations. The emphasis is on implicit time stepping in conjunction with adaptive time-step control and iterative solution of the linearized systems.
Howard C. Elman +2 more
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