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
More filters
Journal ArticleDOI
The assimilation of satellite‐derived data into a one‐dimensional lower trophic level marine ecosystem model
TL;DR: In this paper, a lower trophic level model is implemented in a one-dimensional data assimilative (variational adjoint) model testbed, and a combination of experiments assimilating synthetic and actual satellite-derived data, including total chlorophyll, size-fractionated and particulate organic carbon (POC), reveal that this is an effective tool for improving simulated surface and subsurface distributions both for assimilated and unassimilated variables.
Journal ArticleDOI
Detached–eddy simulations of the flow over a cylinder at Re = 3900 using OpenFOAM
TL;DR: A complex DES model based on the v 2 ¯ –f approach is implemented in order to take advantage of its good performance in the near-wall as well as in the LES region and to validate the DES models available in the OpenFOAM official release.
Journal ArticleDOI
The application of CFD modelling to support the reduction of CO2 emissions in cement industry
Hrvoje Mikulčić,Milan Vujanović,D. Fidaros,Peter Priesching,Ivica Minić,Reinhard Tatschl,Neven Duić,Gordana Stefanović +7 more
TL;DR: In this paper, the authors demonstrate the potential of CFD to support the design and optimization of calciners, whose use appears to be essential in reduction of CO2 emission during cement production.
Journal ArticleDOI
Higher‐resolution hyperbolic‐coupled‐elliptic flux‐continuous CVD schemes on structured and unstructured grids in 2‐D
TL;DR: Higher‐order convection schemes have been developed for the essentially hyperbolic systems of reservoir simulation and can significantly enhance solution quality and remove O(1) errors induced by standard methods.
References
More filters
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.