Author: E. KrausePublisher:
ISBN:
Category :
Languages : en
Pages : 99
Book Description
Numerical Treatment of Boundary-layer and Navier-Stokes Equations
Author: E. KrauseNumerical Treatment of the Navier-Stokes Equations
Author: Wolfgang HackbuschPublisher: Springer-Verlag
ISBN: 3663140040
Category : Technology & Engineering
Languages : de
Pages : 174
Book Description
Numerical Methods in Fluid Dynamics
Author: North Atlantic Treaty Organization. Advisory Group for Aerospace Research and DevelopmentPublisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 356
Book Description
;Contents: On the numerical approximation of some equations arising in hydrodynamics; Approximation of Navier-Stokes equations; Sur l'approximation des equations de Navier-Stokes des fluides visqueux incompressibles; Numerical solution of steady state Navier-Stokes equations; Numerical solution of the Navier-Stokes equations at high reynolds numbers and the problem of discretization of convective derivatives; Numerical analysis of viscous one-dimensional flows; A critical analysis of numerical techniques: the piston-driven inviscid flow; Transient and asymptotically steady flow of an inviscid compressible gas past a circular cylinder; The blunt body problem for a viscous rarefied gas; The choice of a time-dependent technique in gas dynamics; Application of finite elements methods in fluid dynamics; Computational methods for inviscid transonic flows with inbedded shock waves; Numerical treatment of time-dependent three-dimensional flows; Un example de modele mathematique complexe en mecanique des fluides.
Validation of Three-dimensional Incompressible Spatial Direct Numerical Simulation Code
Author: Ronald D. JoslinPublisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 56
Book Description
Singular Perturbations and Boundary Layers
Author: Gung-Min GiePublisher: Springer
ISBN: 3030006387
Category : Mathematics
Languages : en
Pages : 412
Book Description
Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the domain. Important physical phenomena occur in boundary layers. The most common boundary layers appear in fluid mechanics, e.g., the flow of air around an airfoil or a whole airplane, or the flow of air around a car. Also in many instances in geophysical fluid mechanics, like the interface of air and earth, or air and ocean. This self-contained monograph is devoted to the study of certain classes of singular perturbation problems mostly related to thermic, fluid mechanics and optics and where mostly elliptic or parabolic equations in a bounded domain are considered. This book is a fairly unique resource regarding the rigorous mathematical treatment of boundary layer problems. The explicit methodology developed in this book extends in many different directions the concept of correctors initially introduced by J. L. Lions, and in particular the lower- and higher-order error estimates of asymptotic expansions are obtained in the setting of functional analysis. The review of differential geometry and treatment of boundary layers in a curved domain is an additional strength of this book. In the context of fluid mechanics, the outstanding open problem of the vanishing viscosity limit of the Navier-Stokes equations is investigated in this book and solved for a number of particular, but physically relevant cases. This book will serve as a unique resource for those studying singular perturbations and boundary layer problems at the advanced graduate level in mathematics or applied mathematics and may be useful for practitioners in other related fields in science and engineering such as aerodynamics, fluid mechanics, geophysical fluid mechanics, acoustics and optics.
Numerical Solution of the Navier-Stokes Equations for a Shock-boundary Layer Interaction Problem Using an L-U Implicit Scheme
Author: Juichi NaganoPublisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 282
Book Description
Numerical Treatment of Coupled Systems
Author: Wolfgang HackbuschPublisher: Springer Science & Business Media
ISBN: 3322868591
Category : Technology & Engineering
Languages : en
Pages : 222
Book Description
The coupling considered in this volume may be of physical or numerical nature. Examples of the first kind are the solid-fluid interactions, microelectronic systems, and the coupled modelling in groundwater flow. Examples of the latter kind are the domain or subspace decomposition, the local defect correction method, and the very important FEM-BEM coupling.
A Numerical Method for Solving the Navier-Stokes Equations with Application to Shock-boundary Layer Interactions
Author: Yeefeng RuanBoundary-layer Theory
Author: Hermann SchlichtingPublisher: McGraw-Hill Science, Engineering & Mathematics
ISBN:
Category : Science
Languages : en
Pages : 852
Book Description
This text is the translation and revision of Schlichting's classic text in boundary layer theory. The main areas covered are laws of motion for a viscous fluid, laminar boundary layers, transition and turbulence, and turbulent boundary layers.
Author: Lie Y. Oey