A high‐order compact scheme for solving the 2D steady incompressible Navier‐Stokes equations in general curvilinear coordinates
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DOI: 10.1002/fld.4791
Abstract: In this paper, a high‐order compact finite difference algorithm is established for the stream function‐velocity formulation of the two‐dimensional steady incompressible Navier‐Stokes equations in general curvilinear coordinates. Different from the previous work, not only the… read more here.
Keywords: order compact; steady incompressible; order; navier stokes ... See more keywords
The D incompressible Navier–Stokes equations with partial hyperdissipation
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DOI: 10.1002/mana.201700176
Abstract: Funding information NSFC, Grant/Award Numbers: 11601011, 11671273, 11231006; NSF, Grant/Award Number: 1614246 Abstract The three-dimensional incompressible Navier–Stokes equations with the hyperdissipation (−Δ)γ always possess global smooth solutions when γ ≥ 4 . Tao [6] and… read more here.
Keywords: stokes equations; equations partial; incompressible navier; partial hyperdissipation ... See more keywords
A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier–Stokes and Euler Equations on Unstructured Meshes
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DOI: 10.1007/s10915-016-0348-9
Abstract: We propose a sixth-order staggered finite volume scheme based on polynomial reconstructions to achieve high accurate numerical solutions for the incompressible Navier–Stokes and Euler equations. The scheme is equipped with a fixed-point algorithm with solution… read more here.
Keywords: order; finite volume; scheme; staggered finite ... See more keywords
Error Analysis of a New Fractional-Step Method for the Incompressible Navier–Stokes Equations with Variable Density
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DOI: 10.1007/s10915-020-01253-6
Abstract: A new fractional-step scheme for the numerical solution to the incompressible Navier–Stokes equations with variable density is proposed. Compared with other known methods, the numerical velocity and pressure are determined by a generalized Stokes problem… read more here.
Keywords: new fractional; step; stokes equations; fractional step ... See more keywords
Global Well-Posedness of the Generalized Incompressible Navier–Stokes Equations with Large Initial Data
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DOI: 10.1007/s40840-019-00818-5
Abstract: This paper is concerned with the global well-posedness of the n -dimensional generalized incompressible Navier–Stokes equations with initial data in the critical Besov space. By fully using the advantage of suitable weighted functions and the… read more here.
Keywords: incompressible navier; global well; initial data; navier stokes ... See more keywords
Global Large Solutions to the 3-D Generalized Incompressible Navier–Stokes Equations
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DOI: 10.1007/s40840-020-01051-1
Abstract: In this paper, we prove the global well-posedness of the 3-D generalized incompressible Navier–Stokes equations in critical Besov spaces under a polynomial smallness assumption on the initial data. Moreover, we construct a class of initial… read more here.
Keywords: stokes equations; generalized incompressible; global large; incompressible navier ... See more keywords
Efficient discretizations for the EMAC formulation of the incompressible Navier–Stokes equations
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DOI: 10.1016/j.apnum.2018.11.013
Abstract: We study discretizations of the incompressible Navier-Stokes equations, written in the newly developed energy-momentum-angular momentum conserving (EMAC) formulation. We consider linearizations of the problem, which at each time step will reduce the computational cost, but… read more here.
Keywords: formulation; stokes equations; incompressible navier; navier stokes ... See more keywords
Efficient stress–velocity least-squares finite element formulations for the incompressible Navier–Stokes equations
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DOI: 10.1016/j.cma.2018.01.043
Abstract: Abstract In this contribution three different mixed least-squares finite element methods (LSFEMs) are investigated with respect to accuracy and efficiency with simultaneous consideration of regular and adaptive meshing strategies. The deliberations are made for the… read more here.
Keywords: finite element; least squares; stress velocity; incompressible navier ... See more keywords
Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients
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DOI: 10.1016/j.jde.2020.10.031
Abstract: Abstract We studied an initial boundary value problem for the full incompressible Navier-Stokes equations with viscosity μ and heat conductivity κ depending on temperature by the power law of Chapman-Enskog. With this focus, the existence… read more here.
Keywords: full incompressible; stokes equations; time; incompressible navier ... See more keywords
Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications
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DOI: 10.1063/1.5031119
Abstract: An exact first integral of the full, unsteady, incompressible Navier-Stokes equations is achieved in its most general form via the introduction of a tensor potential and parallels drawn with Maxwell’s theory. Subsequent to this gauge… read more here.
Keywords: stokes equations; incompressible navier; unsteady incompressible; gauge criteria ... See more keywords
An Onsager singularity theorem for Leray solutions of incompressible Navier–Stokes
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DOI: 10.1088/1361-6544/ab2f42
Abstract: We study in the inviscid limit the global energy dissipation of Leray solutions of incompressible Navier-Stokes on the torus ${\mathbb T}^d$, assuming that the solutions have norms for Besov space $B^{\sigma,\infty}_3({\mathbb T}^d),$ $\sigma\in (0,1],$ that… read more here.
Keywords: energy; sigma; dissipation; incompressible navier ... See more keywords