[PDF] Top 20 Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk
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Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk
... problem in a disk domain is because it suces to have all aforementioned numerical dif- culties occurring in higher-dimensional cylindrical and spherical ...with the nite element or ... See full document
14
Implicit Weighted ENO Schemes for the Three-Dimensional Incompressible Navier–Stokes Equations
... used for computing steady-state ...employed for inviscid fluxes and fourth-order central differencing for viscous ...through a 90 ◦ bent square duct and three-dimensional driven ... See full document
24
New Finite Difference Methods Based on IIM for Inextensible Interfaces in Incompressible Flows
... Conclusions In this paper, we propose new finite difference methods for simulating the motion of an inextensible interface in an incompressible flow using either ... See full document
20
New finite difference methods based on IIM for inextensible interfaces in incompressible flows
... of the nonlinear and coupling nature of the problem, direct discretization by applying the immersed boundary or immersed interface method yields complex nonlin- ear systems to be ...solved. In ... See full document
17
A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations
... relations a b s t r a c t A new finite difference method based on Cartesian meshes and fast Poisson/Helmholtz solvers is pro- posed to solve the coupling of a fluid flow modeled by ... See full document
16
A simple projection method for the coupled Navier-Stokes and Darcy flows
... of the numerical algorithm for coupling Stokes and Darcy flows based on the staggered grid framework is studied in ...[49]. In [49], the authors considered the ... See full document
13
Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows
... schemes for the unsteady Navier–Stokes equa- tions ...on a disk in the literature. For instance, Torres and Cout- sias [12] have implemented a ... See full document
17
An Asymptotic Limit of a Navier-Stokes System with Capillary Effects
... of the present paper is that these expressions are not needed and that more general expressions can be ...considered. In particular, we allow for viscous terms of the type div(μ(ρ)D(u)), and ... See full document
20
A posteriori least-squares finite element error analysis for the Navier-Stokes equations
... DOWN FOR ARTICLE Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our ...to the accuracy, ... See full document
9
Introduction to the classical DeGiorgi method and its application in the regularity theory of incompressible Navier-Stokes equations
... Abstract The note is mainly for personal record, if you want to read it, please be ...during the summer course in NCTS, 2015. We will introduce the De-Giorgi’s method in ... See full document
15
Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane
... uniqueness for the stationary Navier-Stokes equations In this section we consider the unique determination of the viscosity in an in- compressible ... See full document
18
Determination of viscosity in the stationary Navier–Stokes equations
... Introduction In this work we consider the unique determination of the viscosity in an incompressible fluid described by the stationary Navier–Stokes ...an ... See full document
16
The immersed interface method for the Navier-Stokes equations with singular forces
... functions in the literature, the computational results are not much different for two- and three-dimensional ...problems. The most common choices of w is h, the spatial mesh ... See full document
21
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains
... tested the method by embedding the Navier–Stokes equations to the entire domain and selecting the nor- mal and tangential forces along the boundary as augmented ... See full document
13
Implicit weighted essentially nonoscillatory schemes for the compressible Navier-Stokes equations
... of the WENO2 scheme on different grid systems. A comparison of the calculated results of the experimental data and the Jiang et ...shown in Table 1. Notice that the ... See full document
9
Finite Difference Methods for Solving Differential Equations
... down the order of approximation near discontinuities to avoid ...• The approximate solution may converge to a function which is not a weak ...solution. For in- stance, let ... See full document
121
A short note on Navier-Stokes flows with an incompressible interface and its approximations
... study the mathematical and physical features for this incom- pressible ...interface. The model formulation introduces an unknown tension which acts as a Lagrange’s multiplier to enforce such ... See full document
6
A FINITE-DIFFERENCE METHOD FOR SYMMETRICAL POSITIVE DIFFERENTIAL-EQUATIONS
... Abstract. A finite difference method is developed for solving symmetric pos- itive differential equations in the sense of ...Friedrichs. The method is applicable to ... See full document
14
Hybrid finite-difference scheme for solving the dispersion equation
... Conclusions In this article, a hybrid finite-difference scheme capable of solv- ing pure advection, pure diffusion, and dispersion processes is ...proposed. The proposed ... See full document
9
Hybrid finite-difference scheme for solving the dispersion equation
... Conclusions In this article, a hybrid finite-difference scheme capable of solv- ing pure advection, pure diffusion, and dispersion processes is ...proposed. The proposed ... See full document
9
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