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1

Digitale Medien

A characteristic-based method for incompressible flows (1994)

Drikakis, D. ; Govatsos, P. A. ; Papantonis, D. E.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 19 (1994), S. 667-685

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ISSN: 0271-2091

Schlagwort(e): Incompressible flows ; Navier-Stokes equations ; Riemann solver ; Artifical compressibility ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: A new characteristic-based method for the solution of the 2D laminar incompressible Navier-Stokes equations is presented. For coupling the continuity and momentum equations, the artificial compressibility formulation is employed. The primitives variables (pressure and velocity components) are defined as functions of their values on the characteristics. The primitives variables on the characteristics are calculated by an upwind diffencing scheme based on the sign of the local eigenvalue of the Jacobian matrix of the convective fluxes. The upwind scheme uses interpolation formulae of third-order accuracy. The time discretization is obtained by the explicit Runge-Kutta method. Validation of the characteristic-based method is performed on two different cases: the flow in a simple cascade and the flow over a backwardfacing step.

Zusätzliches Material: 19 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650190803

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2

Digitale Medien

A COMPARISON OF COUPLED AND SEGREGATED ITERATIVE SOLUTION TECHNIQUE FOR INCOMPRESSIBLE SWIRLING FLOW (1996)

HANBY, R. F. ; SILVESTER, D. J. ; CHEW, J. W.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 22 (1996), S. 353-373

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ISSN: 0271-2091

Schlagwort(e): Navier-Stokes equations ; finite differences ; unsymmetric linear systems ; Krylov subspace methods ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: In many popular solution algorithms for the incompressible Navier-Stoke equations the coupling between the momentum equations is neglected when the linearized momentum equations are solved to update the velocities. This is known to lead to poor convergence in highly swirling flows where coupling between the radial and tangential momentum equations is strong. Here we propose a coupled solution algorithm in which the linearized momentum and continuity equations are solved simultaneously. Comparisons between the new method and the well-known SIMPLEC method are presented.

Zusätzliches Material: 23 Ill.

Materialart: Digitale Medien

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3

Digitale Medien

An h4 accurate vorticity-velocity formulation for calculating flow past a cylinder (1995)

Dennis, S. C. R. ; Hudson, J. D.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 21 (1995), S. 489-497

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ISSN: 0271-2091

Schlagwort(e): Navier-Stokes equations ; vorticity-velocity formulation ; finite difference methods ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: A method of solution for the two-dimensional Navier-Stokes equations for incompressible flow past a cylinder is given in which the euquation of continuity is solved by a step-by-step integration procedure at each stage of an interative process. Thus the formulation involves the solution of one first-order and one second-order equation for the velocity components, together with the vorticity transport equation. the equations are solved numerically by h4-accurate methods in the case of steady flow past a circular cylinder in the Reynolds number range 10-100. Results are in satisfactory agreement with recent h4-accurate calculations. An improved approximation to the boundary conditions at large distance is also considered.

Zusätzliches Material: 2 Tab.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650210604

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4

Digitale Medien

ADAPTIVE SOLUTIONS FOR UNSTEADY LAMINAR FLOWS ON UNSTRUCTURED GRIDS (1996)

VILSMEIER, R. ; HÄNEL, D.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 22 (1996), S. 85-101

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ISSN: 0271-2091

Schlagwort(e): Navier-Stokes equations ; time-dependent, separated flow ; unstructured, adaptive, dynamic grids ; local time-stepping scheme ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: An adaptive finite volume method for the simulation of time-dependent, viscous flow is presented. The Navier-Stokes equations are discretized by central schemes on unstructured grids and solved by an explicit Runge-Kutta method. The essential topics of the present study are a new concept for a local Runge-Kutta time-stepping scheme, called multisequence Runge-Kutta, which reduces the severe stability restriction in unsteady problems, a common grid generation and adaptation procedure and the application of dynamic grids for capturing moving flow structures. Results are presented for laminar, separated flow around an aerofoil with a flap.

Zusätzliches Material: 7 Ill.

Materialart: Digitale Medien

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5

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Numerical simulation methods of incompressible flows and an application to the Space Shuttle main engine (1988)

Chang, J. L. C. ; Kwak, D. ; Rogers, S. E. ; [weitere]

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 8 (1988), S. 1241-1268

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ISSN: 0271-2091

Schlagwort(e): Incompressible flow ; Navier-Stokes equations ; Finite differences ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: This paper discusses incompressible Navier-Stokes solution methods with an emphasis on the pseudocompressibility method. A steady-state flow solver based on the pseudocompressibility approach is then described. This flow solver code has been used to analyse the internal flow in the Space Shuttle main engine hot-gas manifold. Salient features associated with this three-dimensional realistic flow simulation are discussed. Numerical solutions relevant to the current engine analysis and the redesign effort are discussed along with experimental results. This example demonstrates the potential of computational fluid dynamics as a design tool for aerospace applications.

Zusätzliches Material: 14 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650081011

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6

Digitale Medien

Incompressible low-speed-ratio flow in non-uniform distensible tubesThis research project is supported by the Dutch Foundation for Scientific Research NWO. (1993)

Reuderink, P. J. ; van de Vosse, F. N. ; van Steenhoven, A. A. ; [weitere]

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 16 (1993), S. 597-612

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ISSN: 0271-2091

Schlagwort(e): Navier-Stokes equations ; Finite element method ; Distensible tubes ; Wave propagation ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: The fluid flow in distensible tubes is analysed by a finite element method based on an uncoupled solution of the equations of wall motion and fluid flow. Special attention is paid to the choice of proper boundary conditions. Computations were made for sinusoidal flow in a distensible uniform tube with the Womersley parameter α = 5, and a ratio between tube radius and wavelenth from 0·0001 to 0·5. The agreement between the numerical results and Womersley's analytic solution depends on the speed ratio between fluid and wave velocity, and is fair for speed ratios up to 0·05. The analysis of the flow field in a distensible tube with a local inhomogeneity revealed a marked influence of wave phenomena and wall motion on the velocity profiles.

Zusätzliches Material: 8 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650160704

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7

Digitale Medien

Exact fully 3D Navier-Stokes solutions for benchmarking (1994)

Ethier, C. Ross ; Steinman, D. A.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 19 (1994), S. 369-375

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ISSN: 0271-2091

Schlagwort(e): Navier-Stokes equations ; Incompressible ; Three-dimensional ; Exact solution ; Benchmarking ; Penalty formulation ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: Unsteady analytical solutions to the incompressible Navier-Stokes equations are presented. They are fully three-dimensional vector solutions involving all three Cartesian velocity components, each of which depends non-trivially on all three co-ordinate directions. Although unlikely to be physically realized, they are well suited for benchmarking, testing and validation of three-dimensional incompressible Navier-Stokes solvers. The use of such a solution for benchmarking purposes is described.

Zusätzliches Material: 2 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650190502

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8

Digitale Medien

On finite element approximations of the streamfunction-vorticity and velocity-vorticity equations (1988)

Gunzburger, Max D. ; Peterson, Janet S.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 8 (1988), S. 1229-1240

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ISSN: 0271-2091

Schlagwort(e): Streamfunction-vorticity approximations ; Velocity-vorticity approximations ; Finite element methods ; Navier-Stokes equations ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: We consider finite element methods for vorticity formulations of viscous incompressible flows. In two-dimensional settings the familiar streamfunction-vorticity formulation is examined. We focus on its accuracy, especially when using low-order elements, and on its use with a variety of boundary conditions and in multiply connected domains. In three dimensions the velocity-vorticity formulation is shown to be preferable, and a promising algorithm using this formulation is presented. We close by considering the recovery of the pressure field once the streamfunction or velocity fields are known. In particular we describe and analyse an algorithm for recovering the pressure which is based on well known methods for the primitive variable formulation and which requires no boundary conditions on the pressure at solid walls.

Zusätzliches Material: 1 Tab.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650081010

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9

Digitale Medien

AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS (1996)

TIMMERMANS, L. J. P. ; MINEV, P. D. ; VAN DE VOSSE, F. N.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 22 (1996), S. 673-688

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ISSN: 0271-2091

Schlagwort(e): Navier-Stokes equations ; projection methods ; operator splitting ; spectral element methods ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: An approximate projection scheme based on the pressure correction method is proposed to solve the Navier-Stokes equations for incompressible flow. The algorithm is applied to the continuous equations; however, there are no problems concerning the choice of boundary conditions of the pressure step. The resulting velocity and pressure are consistent with the original system. For the spatial discretization a high-order spectral element method is chosen. The high-order accuracy allows the use of a diagonal mass matrix, resulting in a very efficient algorithm. The properties of the scheme are extensively tested by means of an analytical test example. The scheme is further validated by simulating the laminar flow over a backward-facing step.

Zusätzliches Material: 6 Ill.

Materialart: Digitale Medien

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