navier stokes equations for incompressible viscous fluids

... governed by the Navier- Stokes/ Brinkman equations An extra (forcing) term in the Navier- Stokes 5.2 Discrete forcing approach 15 equations contains the permeability ( ) of the medium, i.e zero for a solid ... Navier- Stokes equations However, since the flow has some special properties, these equations can be simplified to yield the governing equation The derivation starts with the 2D incompressible Navier- Stokes ... this forcing function in the governing equations as a source term This can be done in two essentially different ways: the continuous forcing vs discrete forcing approach 20 !) 1) Continuous forcing...

Ngày tải lên: 11/07/2014, 23:20

... value problem for the Navier- Stokes equations with data in Lp ,” Archive for Rational Mechanics and Analysis, vol 45, no 3, pp 222–240, 1972 Y Giga, “Solutions for semilinear parabolic equations ... weak solutions of the Navier- Stokes system,” Journal of Differential Equations, vol 62, no 2, pp 186–212, 1986 M Struwe, “On partial regularity results for the Navier- Stokes equations, ” Communications ... of the Navier- Stokes equations, ” Archive for Rational Mechanics and Analysis, vol 9, no 1, pp 187–195, 1962 T Ohyama, “Interior regularity of weak solutions of the time-dependent Navier- Stokes...

Ngày tải lên: 22/06/2014, 02:20

... stochastic 2D Navier- Stokes equations To state the general ergodic result for the two-dimensional Navier- Stokes equations, we begin by looking at the algebraic structure of the Navier- Stokes nonlinearity ... for the stochastically forced Navier- Stokes equations and other partially dissipative dynamics, Comm Math Phys 230 (2002), 421–462 [Mat03] ——— , On recent progress for the stochastic Navier- Stokes ... 993–1032 Ergodicity of the 2D Navier- Stokes equations with degenerate stochastic forcing By Martin Hairer and Jonathan C Mattingly Abstract The stochastic 2D Navier- Stokes equations on the torus driven...

Ngày tải lên: 29/03/2014, 07:20

... data for the Navier- Stokes equations of compressible flow SIMA J Appl Math 51, 887–898 (1991) doi:10.1137/0151043 Fang, D, Zhang, T: Discontinuous solutions of the compressible Navier- Stokes equations ... existence, uniqueness and regularity for one-dimensional compressible Navier- Stokes equations (Preprint) Yang, T, Yao, Z, Zhu, C: Compressible Navier- Stokes equations with degenerate viscosity ... one-dimensional compressible Navier- Stokes equations with densitydependent viscosity J Differ Equ 184, 163–184 (2002) doi:10.1006/jdeq.2001.4140 11 Yang, T, Zhu, C: Compressible Navier- Stokes equations with...

Ngày tải lên: 20/06/2014, 22:20

... reflect the total picture of propagation of diffusion waves for compressible Navier- Stokes equations We still need to gain complete boundary information from limited zero Dirichlet data In view of ... Identities for Laplace Transformation and Fourier Transform Basic and well-known propositions below can be found in [25] and [4] Proposition 2.1 For any f, g Cc [0, 1), their Laplace transforms R ... the surface wave propagator Therefore, it is inevitable to investigate their structures At last, Green’s function of linearized 2-D compressible Navier- Stokes equations with presence of zero Dirichlet...

Ngày tải lên: 10/09/2015, 09:06

... the Navier- Stokes equations (1.1) - (1.3) in the next section Chapter Introduction The Navier- Stokes equations are ill-posed for pressure in the following sense If we have small perturbation for ... Introduction 1.1 Navier- Stokes Equations and Numerical Methods To describe the motion of an incompressible flow in a two dimensional or three dimensional domain, Navier- Stokes equations are always ... differential algebraic equations (PDAE) can be viewed as an extension of DAE The Navier- Stokes equations are important examples of PDAE In [23], how to apply SRM to the Navier- Stokes equations was considered...

Ngày tải lên: 12/09/2015, 10:42

... investigated the Navier- Stokes- Voight equations as an inviscid regularization of the 3D incompressible Navier- Stokes equations, and further obtained the existence of global attractors for Navier- Stokes- Voight ... Uniform attractors for a 3D non-autonomous Navier- Stokes- Voight Equations, Preprint (2010, in press) Yue, G, Zhong, C: Attractors for autonomous and nonautonomous 3D Navier- Stokes- Voight equations ... of the 3D incompressible Navier- Stokes equations on any bounded smooth domain Chepyzhov and Vishik [6] investigated the trajectory attractors for 3D nonautonomous incompressible Navier- Stokes system...

Ngày tải lên: 20/06/2014, 21:20

... investigated the Navier- Stokes- Voight equations as an inviscid regularization of the 3D incompressible Navier- Stokes equations, and further obtained the existence of global attractors for Navier- Stokes- Voight ... Uniform attractors for a 3D non-autonomous Navier- Stokes- Voight Equations, Preprint (2010, in press) Yue, G, Zhong, C: Attractors for autonomous and nonautonomous 3D Navier- Stokes- Voight equations ... of the 3D incompressible Navier- Stokes equations on any bounded smooth domain Chepyzhov and Vishik [6] investigated the trajectory attractors for 3D nonautonomous incompressible Navier- Stokes system...

Ngày tải lên: 20/06/2014, 22:20

... proposed by Nguyen et al [27] for solving partial differential equations with smooth-solutions We shall consider Poisson equations, Stokes equations, and incompressible Navier- Stokes flows in regular ... performance of the HDG method 2.1 2.1.1 Problem Formulation Governing equations in conservative form We consider the following two-dimensional (2-D) time-dependent incompressible Navier- Stokes equations ... condition for Stokes flows 6.3.2 Example: Four-sided periodic condition for Stokes flows 93 95 97 99 99 Fast Fourier Transforms for Single-material Interface Problems103 7.1 Problem Formulation...

Ngày tải lên: 10/09/2015, 15:51

... remains open It is known that the Navier- Stokes equations can be used to model the CHAPTER INTRODUCTION compressible viscous fluid For the one dimensional Navier- Stokes equations:   ρ + m = 0,  ... the equations As a result, the study of the Navier- Stokes equations becomes one of the most popular areas of modern mathematics In this thesis, We will focus on the one dimensional Navier- Stokes ... nonlinear problem Chapter Introduction The study of Navier- Stokes equations is an important area in fluid mechanics The interest of studying Navier- Stokes equations rises from both practically and academically...

Ngày tải lên: 09/09/2015, 10:15

... vic nghiờn cu h phng trỡnh g -Navier- Stokes, c bit l trng hp hai chiu: 10 H phng trỡnh g -Navier- Stokes hai chiu xut hin mt cỏch t nhiờn nghiờn cu h phng trỡnh Navier- Stokes ba chiu mng g = ì (0, ... trỡnh g -Navier- Stokes hai chiu s giỳp ớch cho vic nghiờn cu h phng trỡnh Navier- Stokes mng ba chiu (xem [54, 55]) V mt toỏn hc, h phng trỡnh ny l mt dng tng quỏt ca h phng trỡnh Navier- Stokes ... chuyn nhng kt qu ó bit i vi h phng trỡnh Navier- Stokes cho h phng trỡnh g -Navier- Stokes t nhng toỏn hc lớ thỳ Do ú nhng nm gn õy, h phng trỡnh g -Navier- Stokes ó c nhiu nh toỏn hc quan tõm nghiờn...

Ngày tải lên: 27/12/2013, 22:55

... that the non-dimensional form of the governing equations given by Equations (5) is identical (except for the asterisks) to the dimensional form given by Equations (1) For convenience, from now ... first-order implicit difference for unsteady term, the first-order upwind difference for convective term and the second-order central difference for viscous terms Because the equations for k and ε are much ... plane ζ = const; (b) Comparison with experimental data Conclusion A method for the solution of incompressible Navier- Stokes equations in threedimensional generalized curvilinear coordinates is presented...

Ngày tải lên: 28/03/2014, 13:20

... first obtained for m >> by using the transformation f-m 5f(~), 0-m 50(~), ~-m~r/ (1.64) The transformed equations for f (~) and (~) were solved numerically by Merkin (1985a), again for P r - Thus, ... Temperature profiles, r162 for Pr = when ( a ) m - - m=O and (b) exist only for m > - for injection, whereas they exist for all m > mc (fw) for suction, where mc < - The solutions for strong suction ... (concentration) equations for a viscous and incompressible fluid, simplified only to the extent that we assume that all the fluid properties, except the density, are constant and neglect viscous dissipation,...

Ngày tải lên: 01/04/2014, 10:51

... Methods for Fluids (Part 1) NavierStokes Equations: Theory and Approximation, M Marion, R Temam 503 Contents of the Handbook xi Volume VII Solution of Equations in Rn (Part 3) Gaussian Elimination for ... ndez-Cara, F Guill´ n, R.R Ortega a e 543 Volume IX Numerical Methods for Fluids (Part 3) Finite Element Methods for Incompressible Viscous Flow, R Glowinski Volume X Special Volume: Computational ... e.g., Marchal and Crochet [1986, 1987], Fortin and Fortin [1989], Fortin and Pierre [1989], El Hadj and Pa Tanguy [1990], Guenette and Fortin [1995], Fortin and Esselaoui [1987], Singh and Leal...

Ngày tải lên: 02/04/2014, 14:54

... đạo Hệ phương trình Navier- Stokes hệ phương trình chủ đạo học lưu chất dựa định luật bảo toàn Đối với dòng chảy rối chất lỏng mặt phẳng thẳng đứng xz , phương trình Navier- Stokes viết sau: ∂u ... 2-D NAVIER- STOKES EQUATIONS Nguyen Danh Thao, Nguyen The Duy University of Technology, VNU-HCM ABSTRACT: This paper applies and develops a numerical model based on the two-dimensional vertical Navier- Stokes ... two-dimensional vertical Navier- Stokes equations to simulate the temporal and spatial variations of wave parameters in front of vertical walls A non-uniform grids system is performed in the numerical...

Ngày tải lên: 05/06/2014, 18:22

... the Navier – Stokes equations, Comm Pure Appl Math 35 (1982), 771 – 837 [CP] M Cannone and F Planchon, Self – similar solutions for Navier – Stokes Equations in R3, Comm Patial Differential Equations ... trình Navier – Stokes \ p , với p điểm Qua giới thiệu số kết sau: Trình bày cấu trúc nghiệm kì dị điểm phương trình Navier – Stokes; Trình bày cấu trúc nghiệm tự đồng dạng phương trình Navier – Stokes; ... phương trình Navier – Stokes Các nghiệm lớp dòng chảy đối xứng theo trục Chúng cung cấp ansatz vô cực cho nghiệm kì dị phương trình Navier – Stokes toán bên cho phương trình Navier – Stokes dừng...

Ngày tải lên: 05/06/2014, 18:22

... the critical exponents for (1.1)-(1.3) in special cases In [9-11], the authors consider the case for pi = 1, (i = 1, 2, , k) In [12], the authors consider the case for k = For the system (1.1)-(1.3), ... solution of exponential form for the scalar problem (1.4) with q2 = (p1 + 1)/2 (see [8]) Proof of Theorem 2.1 We consider solutions of form (2.1) Imposing that the porous equations (1.1) are fulfilled, ... Hence they are given by (1.5)-(1.6) Moreover, the boundary conditions for the profiles are given by (2.14) However, the equations for the profiles are now different: As k l=1 (1 Xu and Song Boundary...

Ngày tải lên: 21/06/2014, 00:20

... Euler-Maxwell equations to compressible Euler-Poisson equations Chin Ann Math 2007, 28(B):583-602 Peng YJ, Wang S: Convergence of compressible Euler-Maxwell equations to incompressible Eule equations ... http://www.advancesindifferenceequations.com/content/2011/1/22 Page of Hence, one derives the non-isentropic incompressible Euler equations Case 2: Quasineutral limit, Non-relativistic limit In this case, we take b(x) = for ... Euler-Maxwell equations for two-fluid plasma Nonlinear Anal Theory Methods Appl 2010, 72:1829-1840 Yang JW, Wang S: Convergence of the nonisentropic Euler-Maxwell equations to compressible Euler-Poisson equations...

Ngày tải lên: 21/06/2014, 02:20