3 edition of **On the advantages of the vorticity-velocity formulation of the equations of fluid dynamics** found in the catalog.

On the advantages of the vorticity-velocity formulation of the equations of fluid dynamics

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Published
**1986**
by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, For sale by the National Technical Information Service in Hampton, VA, [Springfield, Va
.

Written in English

**Edition Notes**

Statement | Charles G. Speziale |

Series | ICASE report -- no. 86-35, NASA contractor report -- 178125, NASA contractor report -- NASA CR-178125 |

Contributions | Institute for Computer Applications in Science and Engineering |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v |

ID Numbers | |

Open Library | OL14985649M |

For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. We present a coupled level set/volume-of-fluid (CLSVOF) method for computing 3D and axisymmetric incompressible two-phase flows. This method combines some of the advantages of the volume-of-fluid method with the level set method to ob-tain a method which is generally superior to either method alone.

An ELLAM-MFEM solution technique for compressible fluid flows in porous media with point sources and sinks. The recent companion book Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The essential concepts and formulas from this book are included in the current text for the reader’s convenience.

Computational Fluid Dynamics (CFD) models are being rapidly integrated into applications across all sciences and engineering. CFD harnesses the power of computers to solve the equations of fluid dynamics, which otherwise cannot be solved analytically except for very particular cases. Numerical solutions can be interpreted through traditional quantitative techniques as well as visually through. () A Parallel Multi-Block Method for the Unsteady 3D Vorticity-Velocity Navier-Stokes Equations. 17th AIAA Computational Fluid Dynamics Conference. () Modelling Turbulent Premixed Combustion Using the Level Set Approach for Reynolds Averaged by:

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JOURNAL OF COMPUTATIONAL PHYS () Note On the Advantages of the Vorticity-Velocity Formulation of the Equations of Fluid Dynamics* Two distinctly different approaches have been utilized in the literature for the numerical solution of the equations of viscous flow in Cited by: Get this from a library.

On the advantages of the vorticity-velocity formulation of the equations of fluid dynamics. [C G Speziale; Institute for Computer Applications in Science and Engineering.]. A novel velocity–vorticity formulation of the unsteady, three-dimensional, Navier–Stokes equations is presented.

The formulation is particularly suitable for simulating the evolution of three-dimensional disturbances in boundary layers. A key advantage is that there are only three governing equations for three primary dependent variables Cited by: Velocity-Vorticity-Helicity formulation and a solver for the the advantages of using the vorticity equation () for numerical simulations in the ﬂnite element context, the vorticity-velocity formulation produces a vorticity ﬂeld that is globally continuous.

This is unlike the velocity-pressure. Vorticity-velocity formulation of the Navier-Stokes equations for aerodynamic ows. Ph.D. Thesis, AFM ReportDepartment of Fluid Mechanics, Technical University of Denmark, Archive for.

The vorticity–velocity formulation of the Navier–Stokes equations has emerged as an attractive alternative to the velocity–pressure formulation in simulating incompressible ﬂows [8, 16, 32, 40].

Several general advantages of this formulation are often cited in the. In this work, a novel procedure to solve the Navier-Stokes equations in the vorticity-velocity formulation is presented. The vorticity transport equation is solved as an ordinary differential equation (ODE) problem on each node of the spatial by: 4.

Speziale C.G., On the advantages of the velocity vorticity formulation of the equations of fluid dynamics. Comput. Phys. 73, (). ADS zbMATH CrossRef Google ScholarCited by: 1. NASA Report lCASE REPORT NO. leASE ON THE ADVANTAGES OF THE VORTICITY-VELOCITY FORMULATION OF THE EQUATIONS OF FLUID DYNAMICS Charles G.

Speziale Contract No. NASll07 May " FOR REFERENCE KOT TO liE Tutti FtlOM nus BOO" INSTITUTE FOR CO~~UTER APPLICATIONS IN SCIENCE AND ENGINEERING.

The complete Navier-Stokes equations for a constant density and viscosity fluid are written in the vorticity-velocity formulation [6]. The governing equations in non-dimensional form leads to the. A well-posed vorticity–velocity–pressure formulation for the Stokes problem is introduced and its finite element discretization, which needs some stabilization, is then studied.

We consider next the approximation of the Navier–Stokes equations, based on the previous approximation of Cited by: The vorticity equation of fluid dynamics describes evolution of the vorticity ω of a particle of a fluid as it moves with its flow, that is, the local rotation of the fluid (in terms of vector calculus this is the curl of the flow velocity).The equation is: = ∂ ∂ + (⋅ ∇) = (⋅ ∇) − (∇ ⋅) + ∇ × ∇ + ∇ × (∇ ⋅) + ∇ × where D / Dt is the material derivative operator.

based on kinematics or dynamics. Kinematic formulations are generally based on the rela- tionship between vorticity, velocity, and the streamfunction.

Dynamic formulations gener- ally use the tangential component of the Navier Stokes equations on the boundary. 3Cited by: 5. I have posted in the past the significant advantages of this formulation over the traditional methods. Anyway, the dynamic LES formulation for the vorticity-velocity based N-S has been presented in free space - no boundaries - for grid-free methods though there is nothing in the formulation that prevents one from using it for grid-based.

T1 - A compact-difference scheme for the navier-stokes equations in vorticity-velocity formulation. AU - Meitz, Hubert L. AU - Fasel, Hermann F. PY - /1/1. Y1 - /1/1. N2 - This paper presents a new numerical method for solving the incompressible, unsteady Navier-Stokes equations in vorticity-velocity by: AN AUGMENTED FORMULATION FOR THE BRINKMAN EQUATIONS On the other hand, differently from [6], where the resulting continuous formulation, being of saddle-point structure, falls into the framework of the Babuška–Brezzi theory, the present varia-tional formulation is based on the introduction of suitable Galerkin least-squares terms, which letFile Size: 4MB.

Martin O. Hansen, Jens Nørkær Sørensen and Wen Zhong Shen, Vorticity–velocity formulation of the 3D Navier–Stokes equations in cylindrical co‐ordinates, International Journal for Numerical Methods in Fluids, 41, 1, (), (). VORTICITY-VELOCITY-PRESSURE FORMULATION FOR STOKES PROBLEM Hypothesis.

We assume throughout this paper that the set () K= fv 2M;divv =curlv = g satis es () K= f0g: Remark 1. If v 2K, then there is a function 2H1()=Rsuch that v = curl and = the fluidthe fluid. • Vorticity, however, is a vector field that gives a microscopic measure of the rotation at any point in the fluid.

ESS Prof. Jin-Yi Yu. Circulation • The circulation, C, about a closed contour in a fluid is defined as thli i l l dl h fhhe line integral evaluated along the contour of the. The Vorticity Equation To understand the processes that produce changes in vorticity, we would like to derive an expression that includes the time derivative of vorticity: ⎟⎟=K ⎠ ⎞ ⎜⎜ ⎝ ⎛ ∂ ∂ − ∂ ∂ y u x v dt d Recall that the momentum equations are of the form K K = File Size: 58KB.

Three-dimensional momentum equations for the porous and fluid layers are formulated separately and solved simultaneously in terms of velocity and vorticity. The solutions have covered a wide range of the governing parameters (10 − 5 ≤ Da ≤ 10 − 2, ≤ Ta ≤≤ b ¯ ≤ ) .Cited by: 2.1. Fundamentals of Fluid Dynamics Introduction As pointed out in the Preface, the major thrust of this text is to extend our discussion of spectral methods from the simple model problems and singledomain methods described in the companion book, CHQZ2, to practical applications in ﬂuid dynamics and to methods for complex domains.Various MMs, developed for computational fluid dynamics (CFD), have been used to solve the incompressible N-S equations.

Of particular interest is the Meshless Local Petrov-Galerkin (MLPG) method, which has been used to solve the N-S equations in their primitive variables [ 17 ], velocity-vorticity [ 18, 19 ] and stream function-vorticity [ 20 Cited by: 1.