The set of partial differential equations governing the motion of viscous incompressible fluid is known as nonlinear Navier-Stokes equations. This equation system is generally considered to be the fundamental description for all laminar and turbulent flows, although some statistical averaging procedure is ...
Two techniques, a series expansion method of perturbed Poiseuille flow valid for low Dean numbers and a solution of the complete Navier-Stokes equation app... Kao,Hsiao C. - 《Journal of Fluid Mechanics》 被引量: 171发表: 1987年 Transition Experiments on Blunt Bodies with Distributed Roughness...
Sequential Monte Carlo Methods for High-Dimensional Inverse Problems: A case study for the Navier-Stokes equationsStatistics - ComputationMathematics - Numerical AnalysisWe consider the inverse problem of estimating the initial condition of a partial differential equation, which is only observed through ...
A fully parallel mortar ?nite element projection method for the solution of the unsteady Navier–Stokes equations A. BEN ABDALLAH1 and J.-L. GUERMOND2 Abstract. This paper describes the parallel implementation of a mortar ?nite-element projection method to compute incompressible viscous ?ows. The...
However, for stiff problems, such as convection-dominated flows with thin boundary layers, both the higher order Gauss and Radau IIA/B method suffer from order reduction. Overall, the Gauss methods are the preferred method for energy-conserving time integration of the incompressible Navier–Stokes ...
and shape deformation, respectively, characterized by the vorticity vectorω= ∇ × uand the strain rate tensorSij = (∂jui + ∂iuj)/2. Its evolution in time can thereby be described by the incompressible Navier–Stokes equations (INSE) written as the vorticity equation1...
in the mathematical model of a generalized Navier–Stokes boundary slip layer, we decide to add an additional governing equation, namely a balance of the surface mass. Since the layer mass cannot be taken from “nothing”, we assume that sources of mass are the bulk fluid continuum\(\mathcal...
In this paper, a quadrature-free scheme of spline method for two-dimensional Navier-Stokes equation is derived, which can dramatically improve the efficiency of spline method for fluid problems proposed by Lai and Wenston (2004). Additionally, the explicit formulation for boundary condition with up...
Most numerical methods approximate the nonlinear term in equation (1) explicitly, and the other terms implicitly. Thus the approximation consists of two steps: one is to solve a convection equation and the other is to solve the Stokes' equations with gravity force. One can ensure the overall ...
In this paper, we construct a high order weighted essentially non-oscillatory (WENO) finite difference discretization for compressible Navier-Stokes (NS) equations, which is rendered positivity-preserving of density and internal energy by a positivity-preserving flux splitting and a scaling positivity-pr...