1 edition of Numerical experiments in unsteady flows through the use of full Navier-Stokes equations found in the catalog.
Numerical experiments in unsteady flows through the use of full Navier-Stokes equations
Christopher J. Putzig
by Naval Postgraduate School, Available from the National Technical Information Service in Monterey, Calif, Springfield, Va
Written in English
The numerical simulations of impulsively started flow, non- impulsively started flow, sinusoidally oscillating flow, and, finally, co- existing flow (with mean and oscillatory components) past a circular cylinder have been investigated in great detail through the use of several compact schemes with the Navier-Stokes vorticity/stream function formulation for various Reynolds numbers, frequency parameters, and ambient flow/oscillating flow combinations using VAX-3520 and NASA"s Supercomputers. Extensive sensitivity analysis has been performed to delineate the effects of time step, outer boundary, nodal points on the cylinder, and the use of higher order polynomials in the calculation of the gradient of wall vorticity. The results have been compared with those obtained experimentally. In many cases the predicted wake region, vorticity and pressure distributions, and the time-variation of the force coefficients have shown excellent agreement with those obtained experimentally.
|Contributions||Sarpkaya, Turgut, 1928-|
|The Physical Object|
|Pagination||135 p. ;|
|Number of Pages||135|
Navier-Stokes equation, in fluid mechanics, a partial differential equation that describes the flow of incompressible equation is a generalization of the equation devised by Swiss mathematician Leonhard Euler in the 18th century to describe the flow of incompressible and frictionless fluids. In French engineer Claude-Louis Navier introduced the element of . We consider the mathematical formulation, analysis, and the numerical solution of a time-dependent optimal control problem associated with the tracking of the velocity of a Navier--Stokes flow in a bounded two-dimensional domain through the adjustment of a Cited by:
A body of literature is reviewed, dealing with the numerical integration of the Navier-Stokes equations, results obtained from the simulations, and appropriate use of the numerical databases for a better understanding of turbulence by: Solving the Equations How the fluid moves is determined by the initial and boundary conditions; the equations remain the same Depending on the problem, some terms may be considered to be negligible or zero, and they drop out In addition to the constraints, the continuity equation (conservation of mass) is frequently required as well.
fluid dynamics, and the Navier-Stokes equation. Upon finding such useful and insightful information, the project evolved into a study of how the Navier-Stokes equation was derived and how it may be applied in the area of computer graphics. Stokes flow (named after George Gabriel Stokes), also named creeping flow or creeping motion, is a type of fluid flow where advective inertial forces are small compared with viscous forces. The Reynolds number is low, i.e. ≪.This is a typical situation in flows where the fluid velocities are very slow, the viscosities are very large, or the length-scales of the flow are very small.
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The numerical simulations of impulsively started flow, non-impulsively started flow, sinusoidally oscillating flow, and, finally, co-existing flow (with mean and oscillatory components) past a circular cylinder have been investigated in great detail through the use of several compact schemes with the Navier-Stokes vorticity/stream function formulation for various Reynolds numbers, frequency parameters, and ambient flow/oscillating flow combinations using Author: Christopher J.
Putzig. Numerical experiments in unsteady flows through the use of full Navier-Stokes equations. past a circular cylinder have been investigated in great detail through the use of several compact schemes with the Navier-Stokes vorticity/stream function formulation for various Reynolds numbers, frequency parameters, and ambient flow/oscillating flow Author: Christopher J.
Putzig. The final set of numerical simulations are performed using a numerical wave tank based on a hybrid Navier-Stokes and potential-flow approach, similar to .Author: Alexandre Chorin. Fasel H.F. () Numerical solution of the complete Navier-Stokes equations for the simulation of unsteady flows.
In: Rautmann R. (eds) Approximation Methods for Navier-Stokes Problems. Lecture Notes in Mathematics, vol Cited by: Abstract. We present an integral equation formulation for the unsteady Stokes equations in two dimensions.
This problem is of interest in its own right, as a model for slow viscous ow, but perhaps more importantly, as an ingredient in the solution of the full, incompressible Navier-Stokes equations.
Using the unsteady Green’s function, the. Though the velocity boundary condition (3) is sufficient to solve the unsteady incompressible Navier–Stokes equations, it is often necessary to look for an alternative formulation, especially, in the numerical simulation of an external by: 2. Physically, it is the pressure that drives the flow, but in practice pressure is solved such that the incompressibility condition is satisfied.
The system of ordinary differential equations (ODE’s) are changed to a system of differential-algebraic equations (DAE’s), where algebraic equations acts like a constraint.
This paper describes a study of the local and global effect of an isolated group of cylinders on an incident uniform flow. Using high resolution two-dimensional computations, we analysed the flow through and around a localised circular array of cylinders, where the ratio of array diameter (D G) to cylinder diameter (D) is The number of cylinders varied from N C = Cited by: Thus the boundary and initial conditions are given by u = 0 on ∂Ω, u(x,0) = u0(x) for x∈ Ω, () with a given initial condition u0(x).
In the discussion and analysis of numerical methods for this problem we will also use the following two simpler systems of partial diﬀerential equations. The Euler and Navier–Stokes equations describe the motion of a ﬂuid in Rn.
(n = 2 or 3). These equations are to be solved for an unknown velocity vector u(x,t) = (u. i(x,t)) 1≤i≤n ∈ Rn and pressure p(x,t) ∈ R, deﬁned for position x ∈ Rn.
and time t ≥ Size: KB. Discretization of the Stokes equations (I) 28 4. Discretization of Stokes equations (II) 45 5. Numerical algorithms 91 6. The penalty method 98 Chapter 2. Steady-State Navier–Stokes Equations Introduction 1. Existence and uniqueness theorems 2. Discrete inequalities and compactness theorems Size: KB.
The Navier–Stokes equations, in their full and simplified forms, help with the design of aircraft and cars, the study of blood flow, the design of power stations, the analysis of pollution, and many other things. Coupled with Maxwell's equations, they can be used to model and study magnetohydrodynamics.
Navier-Stokes equations (NSE), both deterministic and stochastic, are important for a number of applications and, consequently, development and analysis of numerical meth- ods for simulation of NSE are of significant : Roger Temam.
Numerical Algorithms for Steady and Unsteady Incompressible Navier-Stokes Equations M. Hafez, J. Dacles Dept. of Mechanical Engineering U. Davis Summary The numerical analysis of the incompressible Navier-Stokes equations are becoming important tools in the understanding of some fluid flow problems which are encountered in research as well.
Numerical solution of the complete Navier-Stokes equations for the simulation of unsteady flows. / Fasel, Hermann F. Unknown Host Publication Title. Springer Verlag, Fasel, HFNumerical solution of the complete Navier-Stokes equations for the simulation of unsteady flows.
in Unknown Host Publication Title. Springer by: Navier–Stokes Equations: Theory and Numerical Analysis About this Title. Roger Temam, Indiana University, Some developments on Navier–Stokes equations in the second half of the 20th century American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the Cited by: NUMERICAL EXPERIMENTS IN UNSTEADY FLOWS THROUGH THE USE OF FULL NAVIER-STOKES EQUATIONS 12 PERSONAL AUTHOR(S) Christopher J.
Putzig 13a TYPE OF REPORT 13b. TIME COVERED DATE OF REPORT (year, month, day) PAGE COUNT Master's and Engineer's Thesis From To JUNE 1 50 16 SUPPLEMENTARY NOTATION. Effects of numerical anti-diffusion in closed unsteady flows governed by two-dimensional Navier-Stokes equation R.
RogalloNumerical experiments in homogeneous turbulence. NASA Tech. Memo () C.S. WuA novel vector potential formulation of 3D Navier–Stokes equations with through-flow boundaries by a local meshless method.
J Comput Author: Keshava Suman Vajjala, Keshava Suman Vajjala, Tapan K. Sengupta, J.S. Mathur. The full text of this article hosted at is unavailable due to technical difficulties. AIChE Journal Vol Issue 2. Article. Full Access. Numerical solution of the Navier‐Stokes equation for flow past spheres: Part II.
Viscous flow around circulating spheres of low viscosity. It is very close in content to the edition. The book presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids. Considered are the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case.
of the Navier-Stokes Equations for Supersonic Flow Over and solutions of the full Navier-Stokes equations (ref. 6) have been obtained for the shock layer ahead of various blunt configurations. Many of those solutions have been specialized lems due to the nature of the flow or due to numerical instabilities can Size: 2MB.
In many problems encountered in modern gasdynamics, the boundary layer approximations are inadequate to account for the dissipative factors-viscosity and thermal conductivity of the gas-and the solution of the complete system of Navier-Stokes equations is required.
This includes, for example, flows with large longitudinal pressure gradients, which in Cited by: 7.Keeping its limited scope in mind, Numerical Simulation in Fluid Dynamics provides a very readable introduction to the numerical solution of the incompressible Navier-Stokes equations which will be of interest to students and practising engineers concerned with incompressible flow problems.' Applied Mechanics ReviewCited by: