Journal ArticleDOI
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
TLDR
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is described in this article.Abstract:
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is expl...read more
Citations
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Journal ArticleDOI
Zonal finite-volume computations of incompressible flows
J. Zhu,Wolfgang Rodi +1 more
TL;DR: In this paper, a composite oscillation-damping algorithm is used to approximate the convection terms of transport equations and a zonal procedure is introduced into an advanced finite-volume method that uses general non-orthogonal and non-staggered grids.
DissertationDOI
Time-resolved measurement and simulation of local scale turbulent urban flow
TL;DR: In this article, the influence of turbulence present in the flow above street canyons on the behaviour of shear layers at the street canyon top was studied, where time resolved stereo-PIV data was used for a detailed investigation of selected cavity flows.
Journal ArticleDOI
An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization
TL;DR: An oscillation-free high order scheme for convection discretization by using the normalized-variable formulation in the finite volume framework and designed on the TVD (total variational diminishing) constraint and CBC (convection boundedness criterion) condition.
Dissertation
Computational hydraulic techniques for the Saint Venant Equations in arbitrarily shaped geometry
TL;DR: In this article, a semi-implicit discretization in time and a finite volume scheme for the discretisation of the Continuity Equation is proposed for the simulation of nonstationary free surface and pressurized flows.
Journal ArticleDOI
A comparative study of flux-limiting methods for numerical simulation of gas–solid reactions with Arrhenius type reaction kinetics
TL;DR: Numerical simulations of gas–solid reactions show that at low grid resolution which is of practical importance Superbee, MC, and van Albada-2 flux limiters are superior as compared to other schemes.
References
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Journal ArticleDOI
Fully multidimensional flux-corrected transport algorithms for fluids
TL;DR: In this paper, the critical flux limiting stage is implemented in multidimensions without resort to time splitting, which allows the use of flux-corrected transport (FCT) techniques in multi-dimensional fluid problems for which time splitting would produce unacceptable numerical results.
Journal ArticleDOI
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
Gary A. Sod,Gary A. Sod +1 more
TL;DR: In this paper, the finite difference methods of Godunov, Hyman, Lax and Wendroff (two-step), MacCormack, Rusanov, the upwind scheme, the hybrid scheme of Harten and Zwas, the antidiffusion method of Boris and Book, and Glimm's method, a random choice method, are discussed.
Journal ArticleDOI
Systems of conservation laws
Peter D. Lax,Burton Wendroff +1 more
TL;DR: In this article, a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear conservation laws, and the best ones are determined, i.e., those which have the smallest truncation error and in which the discontinuities are confined to a narrow band of 2-3 meshpoints.
Journal ArticleDOI
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
TL;DR: Fromm's second-order scheme for integrating the linear convection equation is made monotonic through the inclusion of nonlinear feedback terms in this paper, where care is taken to keep the scheme in conservation form.
Journal ArticleDOI
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
Jay P. Boris,David L. Book +1 more
TL;DR: A class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called “flux correction,” which yield realistic, accurate results.