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
A discrete operator calculus for finite difference approximations
TL;DR: This paper chooses to preserve the fundamental conservation laws of a continuum in the discretization of the support operators method, and describes the construction of an operator calculus suitable for gas dynamics and for solid dynamics, and derives general formulae for the operators.
Journal ArticleDOI
Correspondence between the distribution of hydrodynamic time parameters and the distribution of biological and chemical variables in a semi-enclosed coral reef lagoon
Jean-Pascal Torréton,Emma Rochelle-Newall,Aymeric Jouon,Vincent Faure,Séverine Jacquet,Pascal Douillet +5 more
TL;DR: Jouon et al. as mentioned in this paper presented an attempt to connect physical forcing to biogeochemical functioning of the South West coral lagoon of New Caledonia and tested the statistical relationships between the distribution of flushing indices and those of biological and chemical variables.
Journal ArticleDOI
Time-dependent acceleration of interstellar pickup ions at the heliospheric termination shock using a focused transport approach
J. A. le Roux,G. M. Webb +1 more
TL;DR: In this article, a time-dependent focused transport approach to model diffusive shock acceleration of interstellar pickup ions at the termination shock is discussed. But this approach is not suitable for the case of high-energy cosmic rays.
Journal ArticleDOI
Vortex-induced vibration of an elastically mounted circular cylinder using an upwind TVD two-dimensional numerical scheme
TL;DR: In this article, the Roe-sweby scheme is used to solve the slightly compressible Reynolds average Navier-Stokes (RANS) equations written in general curvilinear coordinates.
Journal ArticleDOI
A modeling study on the response of Chesapeake Bay to hurricane events of Floyd and Isabel
TL;DR: In this paper, the response of Chesapeake Bay to forcing from two hurricanes is investigated using an unstructured-grid three-dimensional hydrodynamic model SELFE, and the model results agree reasonably well with field observations of water level, velocity, and salinity.
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.