Subgrid stabilized methodStability analysisError estimatesBased on the artificial viscosity approach, a characteristic stabilized finite element method is proposed for approximating solutions to the incompressible Navier–Stokes equations in this paper. The natural combination of characteristic method and sub...
5.11A. Clearly, a viscous fluid is governed by continuity and Navier–Stokes equations, and when the fluid is considered to be incompressible, the conservation of momentum, total mass, thermal energy, and nanoparticles are as follows [5]: Sign in to download full-size image Figure 5.11. (A...
This paper deals with implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. The emphasis is on the so-called “fractional-step-e-scheme” in which the incompressibility constraint is treated either fully implicitly or semi-implicitly by employing operator splitting (pro...
Hriczo. Self-similar analytic solution of the two-dimensional navier-stokes equa- tion with a non-newtonian type of viscosity. Mathematical Modelling and Analysis, 21(1):83-94, 2016.Barna I, Bognar G, Hriczo K (2016). Self-similar analytic solution of the two-dimensional Navier-Stokes ...
A new presentation of general solution of Navier-Stokes equations is considered here. We consider equations of motion for 3-dimensional non-stationary incompressible flow. The field of flow velocity as well as the equation of momentum should be split to the sum of two components: an irrotational...
splitting integration framework. Given the results presented in the paper, this work lays the foundation for constructing an efficient ML-based surrogate coupled with reactive Navier-Stokes solvers for accurately characterizing non-equilibrium phenomena in multi-dimensional computational fluid dynamics ...
Navier—Stokesequations;C-Rtype;nonconforminglineartriangularFE;anisotropicmeshes errorestimates 2000MRSubjectClassification 65N30;65N15 1 Introduction WeconsiderthefollowingnonstationaryNavier—Stokesequations 箍, , (x, t)∈ Q× (0, , (, t)∈ Qx(0, , (x, t)∈ aQx(0, T】 x∈ Q. whereQc...
In this paper we study the non-stationary Navier–Stokes equations in a two dimensional power cusp domain. To be precise, we consider the initial boundary value problem (1.1) u t − ν Δ u + ( u ⋅ ∇ ) u + ∇ p = f , div u = 0 , u | ∂ Ω = a ( x , t )...
We can also mention the recent paper [4] where the Dirichlet problem for the non-stationary Stokes system is studied in a three-dimensional cone. The non-stationary Navier–Stokes equations in tube-structures were studied in [5, 6]. The solvability of the stationary Navier–Stokes system in ...
5) Non-autonomous Navier-Stokes equation 非自治Navier-Stokes方程 6) Navier-Stokes equations Navier-Stokes方程 1. The boundary treatment of the fourth-order compact finite difference scheme for the incompressibleNavier-Stokes equations; 关于不可压流体Navier-Stokes方程的四阶精度有限差分紧致格式的边界处理...