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
The subpolar gyre regulates silicate concentrations in the North Atlantic
Hjálmar Hátún,Kumiko Azetsu-Scott,raquel somavilla,Francisco Rey,Clare Johnson,Moritz Mathis,Uwe Mikolajewicz,Pierre Coupel,Jean-Éric Tremblay,Susan E. Hartman,Selma Pacariz,Ian Salter,Jón Ólafsson +12 more
TL;DR: Clear evidence is shown of a marked pre-bloom silicate decline of 1.5–2 µM throughout the winter mixed layer during the last 25 years, primarily attributed to natural multi-decadal variability through decreased winter convection depths since the mid-1990s.
Journal ArticleDOI
Optimization of the geometry and the turbine induced damping for fixed detached and asymmetric OWC devices: A numerical study
TL;DR: In this article, a two-phase incompressible three-dimensional Computational Fluid Dynamic (CFD) model was used for an extensive parameter study on the performance of a fixed, detached Oscillating Water Column (OWC) wave energy converter.
Journal ArticleDOI
NW European shelf under climate warming: implications for open ocean – shelf exchange, primary production, and carbon absorption
TL;DR: In this article, a global ocean general circulation model and biogeochemistry model were set up with a distorted grid providing a maximal resolution for the NW European shelf and the adjacent northeast Atlantic.
Journal ArticleDOI
An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations
TL;DR: This work develops a constrained transport method for the 3D ideal MHD equations that is based on a high-resolution wave propagation scheme, and describes how to numerically handle the problem of weak hyperbolicity.
Journal ArticleDOI
Melt migration beneath mid‐ocean ridges
TL;DR: In this article, the formation of a high-percentage melt layer beneath the oceanic lithosphere and focusing of the melt towards the ridge axis, taking into account freezing and melt extraction was investigated.
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.