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
Detonation capturing for stiff combustion chemistry
TL;DR: In this article, a detailed analysis of piecewise constant three-state weak solutions of the Fickett-Majda detonation model equations is carried out and it is shown that the threshold temperatures needed to effectively suppress the undesired numerical artefacts are considerably lower than any temperature actually found in the reaction zone of resolved detonation.
Journal ArticleDOI
Simulations of solid–liquid mass transfer in fixed and fluidized beds
TL;DR: In this article, a finite volume method on Coupled Overlapping Domains (CODs) is used to simulate solid-to-liquid mass transfer as a result of liquid flow through static and dynamic assemblies of mono-sized solid spheres.
The shallow water equations: An example of hyperbolic system
P. Brufau,J. Burguete,J. Murillo +2 more
TL;DR: In this paper, a two-dimensional formalism for free surface flows is proposed to reproduce hydraulic situations, which takes into account the influence of transverse components of the flow and the irregular character of the river bed.
Proceedings ArticleDOI
Aspects of a high-resolution scheme for the Navier-Stokes equations
R. C. Swanson,Eli Turkel +1 more
TL;DR: In this article, a high-resolution scheme for viscous flows based on three-point central differencing and a matrix dissipation is considered, including entropy fix, limiter function, and boundary-point dissipation.
Journal ArticleDOI
Numerical prediction of the Flame Describing Function and thermoacoustic limit cycle for a pressurised gas turbine combustor
TL;DR: In this paper, the forced flame responses in a pressurized gas turbine combustor were predicted using numerical reacting flow simulations using two incompressible 1 large eddy simulation solvers.
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.