Computational Fluid Dynamics 2006
Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006

Herman Deconinck, E. Dick

Items from 1 to 20 out of 31 results

chapter

Front Matter

Computational Fluid Dynamics 2006 > Schemes > 45-45

chapter

On the Computation of Steady-State Compressible Flows Using a DG Method

Hong Luo, Joseph D. Baum, Rainald Löhner

Computational Fluid Dynamics 2006 > Schemes > 47-52

Most efforts in the development of the discontinuous Galerkin methods (DGM) in computational fluid dynamics are primarily focused on the time accurate compressible Euler and Navier-Stokes equations. Its accuracy, efficiency, capability, robustness for steady state flow problems are relatively unexplored. In order for DGM to become a viable, attractive, probably even better alternative to the more...

chapter

Space-Time Discontinuous Galerkin Method for Large Amplitude Nonlinear Water Waves

Yan Xu, Jaap J.W Vegt

Computational Fluid Dynamics 2006 > Schemes > 53-58

Summary A space-time discontinuous Galerkin (DG) finite element method for nonlinear water waves in an inviscid and incompressible fluid is presented. The space-time DG method results in a conservative numerical discretization on time dependent deforming meshes which follow the free surface evolution. The dispersion and dissipation errors of the scheme are investigated and the algorithm is demonstrated...

chapter

A discontinuous Galerkin method with Hancock-type time integration for hyperbolic systems with stiff relaxation source terms

Yoshifumi Suzuki, Bram Leer

Computational Fluid Dynamics 2006 > Schemes > 59-64

A new discretization method for hyperbolic systems with stiff relaxation source terms (hyperbolic-relaxation equations) is introduced. The method is based on Huynh’s “upwind moment scheme” for hyperbolic conservation laws with implicit treatment of the source term. A Von Neumann analysis shows superiority in both stability and accuracy of the resulting fully discrete scheme over the method-of-line...

chapter

Very High Order, Non-Oscillatory Fluctuation Distribution Schemes

M.E. Hubbard, N.Z. Mebrate

Computational Fluid Dynamics 2006 > Schemes > 65-70

Fluctuation distribution schemes for approximating multidimensional systems of conservation laws have developed to a stage where they can be used reliably to produce accurate simulations of complex steady state fluid flow phenomena using unstructured meshes [6]. These methods are often required to avoid producing unphysical, numerically induced, oscillations in the flow field, and this has so far...

chapter

High-order residual distribution : discontinuity capturing crosswind dissipation and diffusion

N. Villedieu-Ligout, M. Ricchiuto, H. Deconinck

Computational Fluid Dynamics 2006 > Schemes > 71-76

We review a class of compact methods to approximate steady solutions to (1) $$\frac{\partial u}{\partial t}+\nabla\cdot{\cal F}(u)=\nabla\cdot(\nu\nabla u)\quad \forall(x,y)\in\Omega$$

chapter

High-Order Fluctuation-Splitting Schemes for Advection-Diffusion Equations

Hiroaki Nishikawa, Philip Roe*

Computational Fluid Dynamics 2006 > Schemes > 77-82

Motivated by the failure of current finite-volume(FV) codes in accurately predicting hypersonic heat transfer rate on unstructured grids[1], we have been studying schemes based on multidimensional upwinding, or fluctuation-splitting(FS), as a radical alternative. This scheme is based on nodal variables and cell residuals (fluctuations): the latter drive the change of the former in a multidimensional...

chapter

Construction of Higher Order Residual Distribution Schemes

Rémi Abgrall, Cédric Tavé

Computational Fluid Dynamics 2006 > Schemes > 83-88

Summary We present the construction of Residual Distribution (RD) schemes of order higher than 2. The RD schemes have several advantages: robustness, a compact stencil and the residual property. Going to higher order can be easily done by increasing the polynomial approximation in the cell. We focus here on a systematic procedure to build higher order schemes from first order monotone ones. Assuming...

chapter

Stable and convergent residual distribution for time-dependent conservation laws

Mario Ricchiuto, Rémi Abgrall

Computational Fluid Dynamics 2006 > Schemes > 89-94

We consider the discretization of the time dependent hyperbolic problem (1) $$\frac{\partial{u}}{\partial{t}} + \nabla \cdot \mathbf{\mathcal{F}}(\mathbf{u}) = {0} \mathrm{on} \mathit\Omega \times [0,t_f] \subset \mathbb{R}^2 \times \mathbb{R}^+$$ on unstructured grids. We present residual distribution $(\mathcal{RD})$ schemes which (i) give non-oscillatory solutions, (ii) are second order...

chapter

An ALE Formulation of the Multidimensional Residual Distribution Scheme for Computations on Moving Meshes

Jirí Dobes, Herman Deconinck

Computational Fluid Dynamics 2006 > Schemes > 95-100

The Residual Distribution (RD) schemes for unsteady computations are subject of on-going intensive research [1]. Until recently, the RD schemes for unsteady transonic flow simulations had modest success due to difficulties to deal with large time-steps. As the solution, a new Bx scheme was introduced in [3]. The scheme is based on a blend of the non-oscillatory first order lumped mass matrix formulation...

chapter

Solution of the steady Euler equations using Fluctuation Splitting schemes on quadrilateral elements

D. T. Rubino, P. Palma, G. Pascazio, M. Napolitano

Computational Fluid Dynamics 2006 > Schemes > 101-106

Fluctuation Splitting (FS) schemes, also known as Residual Distribution schemes, are a well-established technique for solving hyperbolic problems on triangular meshes, see [1] and the references therein. As such, they are not adequate for solving high Reynolds number viscous flows, where an accurate resolution of the boundary layer requires high aspect ratio quadrilateral cells. Therefore, there has...

chapter

A Residual-Based Compact Scheme for All-Speed Flows on Unstructured Grids

Christophe Corre, Alberto Beccantini, Thibaud Kloczko

Computational Fluid Dynamics 2006 > Schemes > 107-112

A residual-based compact (RBC) scheme has been developed in [1]-[3] for computing compressible flows on structured grids; 2nd and 3rd-order versions of the scheme were successfully applied to inviscid/viscous steady/unsteady flows, with good shock capturing properties. Building on these results, several extensions are currently explored.

chapter

Vorticity Preserving Scheme for Unsteady Compressible Flows

Fabrice Falissard, Alain Lerat, Jacques Sidès

Computational Fluid Dynamics 2006 > Schemes > 113-118

Summary Taking advantage of the notion of vorticity preserving schemes introduced by Morton and Roe for acoustics, and on the residual-based schemes family proposed by Lerat and Corre, an implicit second order accurate residual-based vorticity preserving scheme is presented and applied to blade vortex interaction.

chapter

Extension of the SD Method to Viscous Flow on Unstructured Grids

Z. J. Wang, Yuzhi Sun, C. Liang, Yen Liu

Computational Fluid Dynamics 2006 > Schemes > 119-124

Summary The Spectral Difference (SD) method has been developed recently by [1] for the wave equations on unstructured triangular grids and further developed by [2] for 2D Euler equations. In this paper, the SD method is extended to solve viscous flow governed by compressible Navier-Stokes equations in both 2D and 3D, for unstructured triangular and hexahedral grids, respectively. Some numerical results...

chapter

Strictly Stable High Order Difference Methods for the Compressible Euler and Navier-Stokes Equations

Bernhard Müller

Computational Fluid Dynamics 2006 > Schemes > 125-130

High order finite difference methods have been constructed to be strictly stable for linear hyperbolic and parabolic problems. The methods employ high order central approximations in the interior and special boundary stencils to satisfy the summation by parts (SBP) property leading to discrete energy estimates [1][2][3][4][5].

chapter

Uniform Flow Preserving Property of High Order Upwind Finite Difference Schemes on Generalized Coordinate System

Taku Nonomura, Nobuyuki Iizuka, Kozo Fujii

Computational Fluid Dynamics 2006 > Schemes > 131-136

Recently, interests of many scientists and engineers are shifting from Reynolds-averaged Navier-Stokes simulations to direct numerical simulations, large-eddy simulations and aero-acoustic simulations. A major problem for these simulations is that they are computationally very expensive because they require very high spatial resolution to guarantee accuracy of their results.

chapter

Implementation of an Enhanced Flux Formulation for Unsteady Navier-Stokes Solutions

G. Xia, S. Sardeshmukh, V. Sankaran, C. L. Merkle

Computational Fluid Dynamics 2006 > Schemes > 137-142

Preconditioned time-marching CFD methods have become established as an accurate and efficient framework for all Mach numbers [1]. However, unsteady solution efficiency and accuracy suffer when the combination of low Mach numbers and high Strouhal numbers is encountered, especially in the context of high-fidelity turbulent and/or acoustics problems [1]. To counter this difficulty, an improved discrete...

chapter

Computation of Eigenspaces of Hyperbolic Systems

S.K. Godunov, O.B. Feodoritova, V.T. Zhukov

Computational Fluid Dynamics 2006 > Schemes > 143-148

Summary A method for calculating principal invariant subspaces of symmetric hyperbolic systems arising in fluid dynamic, electromagnetic and elasticity problems is presented. Such subspaces correspond to a certain set of minimal nonzero eigenvalues and contain sufficiently smooth functions, low-frequency modes. Difficulties related to the presence of an infinite-dimensional null space in the differential...

chapter

A Proposed Cure to the Carbuncle Phenomenon

Farzad Ismail, Philip L. Roe, Hiroaki Nishikawa

Computational Fluid Dynamics 2006 > Schemes > 149-154

A new finite volume methodology is introduced to combat the carbuncle. The method features a more accurate treatment of entropy in the flux formulation at the cost of a small computational overhead. This new flux function is tested on a hypersonic flow past a circular cylinder on both structured quadrilateral and unstructured triangular grids, producing encouraging results.

chapter

The High Order WLSQR Scheme and its Applications in Turbomachinery

Jivrĺ Fürst

Computational Fluid Dynamics 2006 > Schemes > 155-160

This article describes the development of a high order numerical method for the solution of compressible transonic flows. The discretisation in space is based on the standard finite volume method of Godunov’s type. A higher order of accuracy is achieved by the piecewise polynomial interpolation similar to the ENO or weighted ENO method (see e.g. [8]).

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English (31)
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Keywords

CALCULATION OF EIGENVALUES AND EIGENFUNCTIONS (1)
FINITE ELEMENT METHOD (1)
GLS (1)
HIGH ORDER (1)
INCOMPRESSIBLE FLUID (1)
LAX-FRIEDRICHS SCHEME (1)
METHOD FOR CALCULATING INVARIANT SUBSPACES (1)
NONLINEAR WATER WAVES (1)
RESIDUAL DISTRIBUTION (1)
SEMI-GLS (1)
SPACE-TIME DISCONTINUOUS GALERKIN METHOD (1)
STABILIZATION (1)
SYMMETRIC HYPERBOLIC SYSTEMS (1)
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INFONA - science communication portal

Computational Fluid Dynamics 2006
Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006

Front Matter

On the Computation of Steady-State Compressible Flows Using a DG Method

Space-Time Discontinuous Galerkin Method for Large Amplitude Nonlinear Water Waves

A discontinuous Galerkin method with Hancock-type time integration for hyperbolic systems with stiff relaxation source terms

Very High Order, Non-Oscillatory Fluctuation Distribution Schemes

High-order residual distribution : discontinuity capturing crosswind dissipation and diffusion

High-Order Fluctuation-Splitting Schemes for Advection-Diffusion Equations

Construction of Higher Order Residual Distribution Schemes

Stable and convergent residual distribution for time-dependent conservation laws

An ALE Formulation of the Multidimensional Residual Distribution Scheme for Computations on Moving Meshes

Solution of the steady Euler equations using Fluctuation Splitting schemes on quadrilateral elements

A Residual-Based Compact Scheme for All-Speed Flows on Unstructured Grids

Vorticity Preserving Scheme for Unsteady Compressible Flows

Extension of the SD Method to Viscous Flow on Unstructured Grids

Strictly Stable High Order Difference Methods for the Compressible Euler and Navier-Stokes Equations

Uniform Flow Preserving Property of High Order Upwind Finite Difference Schemes on Generalized Coordinate System

Implementation of an Enhanced Flux Formulation for Unsteady Navier-Stokes Solutions

Computation of Eigenspaces of Hyperbolic Systems

A Proposed Cure to the Carbuncle Phenomenon

The High Order WLSQR Scheme and its Applications in Turbomachinery

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Computational Fluid Dynamics 2006
Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006